text:
Cherokee Genealogist to Elizabeth Warren: 'Tell the Truth'
Phi Beta Cons
By Nathan Harden
About Nathan Harden
A genealogist of genuine Cherokee descent is publicly challenging Elizabeth Warren to come clean and renounce her false claims to Native American status.
Your ancestors are found in plenty of historical records, and every time, they are found living as white people among other white people. Never are your ancestors ever found living among the Cherokees. Never, never, never, never…….yet you claim they were Cherokee….
So, Ms. Warren, you see, it is not just your opponent who has questions. We Cherokees have questions too and those questions have yet to be answered by you. You see, for us Cherokees, this is not political. This is about the truth.
You have claimed something you had no right to claim — our history and our heritage and our identity. Those things belong to us, and us alone. These are not things we choose to embrace when they benefit us and then cast aside when we no longer need them, but that is what you seem to have done by "checking a box" for several years and then no longer "checking" it more recently, when apparently you no longer needed it.
Warren once cited her relatives' "high cheekbones" as evidence of her Native-American descent. Thus far, all genuine genealogical records that have come to light disprove those claims.
Warren should renounce her false claims to minority status and Cherokee ancestry, which she maintained for years as she climbed to the heights of the legal academic world. She should also renounce her candidacy for the U.S. Senate out of respect for Native Americans, whose heritage she leveraged on her way to a life of privilege, power, and riches — actions that stand in marked contrast to the rhetoric that she is so fond of uttering in her political speeches about helping the poor and underprivileged.
Click here to read more of the Cherokee genealogist's statement to Warren.


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I always think that some of people are lucky to visit Hoi An, one or more times in their life. I do not know how people feel like? But for myself, Hoi An is something like a slow melody, sweet and truly lovely. Let's explore its charm and beauty by my recommendations for some attractions which cannot be ignored when you visit Hoi An.
In the Old Town, every road you cross, there is a famous place you can find. There are also many types of vehicles such as motorcycles, bicycles or pedicabs which you can choose for exploring the city. But I recommend to walking to experience the cityscape while visiting the further destinations you can rent a bike or motorbike at the homestay.
In the daytime, you will see a very ancient town with a light yellow tone of almost small houses as a traditional color, blended with the sunshine and the clear air. While walking around the street, you can enjoy the famous must-try "Banh Mi" also.
In the nighttime, the city will shine with full of brights from the colorful lanterns. And one special thing in Hoi An is, on 14th of every month (followed Lunar Calendar - Chinese Calendar), local citizens will celebrate the Full Moon Lantern Festival which you can experience not only hanging lanterns but also floating one. Let's take a look at some gorgeous spots.
The bridge was built by Japanese traders in the early 17th century, so the people here often referred to as the Japan Bridge.
After visiting the old town, you can stop at the Bridge to enjoy the beautiful scenery.
This bridge is a very dear and unique symbol of Hoi An and is illuminated by colorful lights, continuous color changing at night. You also may see the cute babies in a long dress, wearing "Non la" (traditional hat of Vietnam) and with full of floating lanterns on their hands for sales.
Fujian Assembly Hall is a tourist attraction in Hoi An and was started construction in 1679. Through many restorations, with the contribution of ethnic Chinese. Today, Fujian Assembly Hall becomes more spacious, splendor contributes to the beauty of the architecture of the ancient Hoi An town. Here, you may admire the extremely sophisticated sculptures in a space of unique Chinese architectural art.
Coming inside, visitors often light up the big incense-coil to wish good health and fortune for family and relatives. These incenses can burn up to more than 30 days, if disabled, people in the Assembly Hall will light them up again. Those who come here worship often write on a piece of paper with the information of the family placed on the hilt with the desire for everything in life is always smooth. After the incense burned, the people in the Assembly Hall will burn these pieces of paper. Thus, the new wish became sacred.
The Canton Fair (also known as Quang Trieu Hall) was built in 1885. Its structure is quite harmonious by the combination of stone materials and wood together with the sophisticated, meticulous decorations which bring a majestic, splendid construction.
There is a large lake, embellished in the shape of a dragon winding flexible inside the Hall. The place is still preserved many ceramic artifacts, simulated images, and documents recorded the ordinary life of the Cantonese community in Hoi An.
Hoi An Market is one of the tourist resorts in Hoi An attracts many visitors to visit and shopping. You can find many specialties, arts, and crafts as well as enjoy delicious food here.
To be selected in the top 25 most beautiful beaches in Asia, An Bang beach is located just 4km far from Hoi An. So many visitors are enthused by the clear waters and long sandy beach in the glittering golden sunshine. Discovering An Bang beach, you will feel extremely refreshed and relax in the quiet and peaceful space. It is no doubt that this is the perfect place to chill.
Cham Islands is located in Tan Hiep commune, Hoi An city, Quang Nam province. In 2009, Cu Lao Cham was recognized by UNESCO as a biosphere reserve in the world and gradually became an attractive destination in the heart of domestic and foreign tourists.
Best time visiting is from July and August. If you like diving, this is exactly the place for you. You also can find a lot of services in here such as diving trips, or tours or even camp on the beach to enjoy the night stars.
Hoi An is truly a must-go destination when you visit Vietnam. Hope with my above sharing, you can easily to make your Hoi An's itinerary! Let's hit the road!


text:
LargeUp TV: Chronixx Meets Monty Alexander and Ernest Ranglin at the Blue Note
Celebrate 40 Years of Sister Nancy's 'Bam Bam' With Our New Capsule Collection
LargeUp is continuing its long-running partnership with Sister Nancy with a new capsule collection celebrating 40 years of the Jamaican music icon's timeless "Bam Bam." Expanding on our tremendously popular Sister Nancy 'Bam Bam' tee, launched for the song's 35th anniversary, we've dropped three novel new items: A baby onesie, a limited-edition skateboard and a Bam Bam pin designed by RockersNYC and produced by Pintrill.
Mickal "Mr. Mikey" Stubblefield, former art director for Dee and Ricky and designer for Pharrell's Billionaire Boys Club and ICECREAM brands, designed the "Bam Bam" tee, onesie and skate deck, taking visual inspiration from the '90s-era reissue of Nancy's One Two album, on which "Bam Bam" appeared.
Regarded as the first female star in the male-dominated world of Jamaican dancehall, Sister Nancy continues to see her popularity soar, four decades after the release of her sole album. Recognized by Pitchfork as The Best Dancehall Song of All-Time, "Bam Bam" has been sampled, quoted and referenced in tracks by Kanye West, Too Short, Lauryn Hill, Lizzo and Jay-Z, among hundreds of other acts.
An ethereal and inherently cinematic anthem of female empowerment in a male-dominated world, "Bam Bam" also soundtracks memorable scenes from Hype Williams' 1998 film Belly, Seth Rogen and James Franco's The Interview (2014) and, recently, the fourth and final season of Netflix's hit series Ozark.
In 2007, "Bam Bam" was featured in the soundtrack to EA's groundbreaking video game Skate, helping make it a cult favorite among skaters and gamers worldwide. "Wherever I go around the world, skateboarders always hail me up and tell me 'Nancy, we love your song,'" Sister Nancy says. Now, Sister Nancy is the first Jamaican woman — and the first dancehall artist — to appear on a skateboard.
"LargeUp has been working with Sister Nancy for over a decade helping her to connect with audiences through original content, exclusive and large-scale performances, collaborations, merchandising and publicity," says Dave "DJ Gravy" Susser, co-founder of LargeUp. "Sister Nancy participating with LargeUp in every aspect of our multi-tiered platform has been an honor and a transformative experience for all parties. Other artists and fans alike can now see what's possible for an authentic legend, being more relevant and in demand than ever, four decades after her only album."
The deck arrives as skateboarding's popularity is surging in Jamaica, with the island's first two skateparks and its first skate shop all opening within the last few years.
"This is something we've anticipated since at least 2009, when LargeUp visited the Bull Bay area to meet up with skate crew Nurdz Republic for one of our very first LargeUp TV webisodes," DJ Gravy says. "In fact, it was that webisode, many years later, that inspired the founders of Freedom Skate Park to first explore the idea of bringing a skatepark to Jamaica."
To further encourage this growth, LargeUp and Sister Nancy will donate five "Bam Bam" skateboards to Freedom Skate Park to distribute to girl skaters attending their newly-launched Girls' Session.
Devoted full time to music once more after two decades working in a bank, the now New Jersey-based Sister Nancy is finally enjoying the fruits of her trailblazing contributions to music culture. She regularly appears at sold-out shows and festivals worldwide, recently representing Jamaica and reggae/dancehall at such prestigious venues as the Lincoln Center in New York and the Kennedy Center in Washington D.C. Her 2023 dates include the Cali Vibes Festival in Long Beach, Calif. (Feb. 17-19) and the South Facing Festival on Aug. 6 in London.
Bam BamFreedom SkateparkReggaeRockersNYCSister NancySkateboards
Ready Now! Listen to Yaadcore's Debut Album, 'Reggaeland'
LargeUp Premiere: Pop Style Music's Better Must Come Riddim

redpajama_set_name: RedPajamaCommonCrawl


Sharing platters - perfect lunch date with friends & family!
Sharpen your chopstick skills for this Mother's Day, we're presenting a tasting menu you have to bring mom to. From 11-13th May, the 4-course dinner includes limited-edition sushi and dessert specially made with honey. To truly spoil your mom, get her a Ugonotsui Umeshu Nigori, a rich and cream Japanese plum liquor for an added sweet finish. See the menu from link in bio.
If you wanna see why we are being catfished join us May 18th!
Nothing but vibes and energy 🙌🏽🎉contact for celebration packages! .
So I'm currently enjoying my Easter Break from Uni in sunny Rome, Italy! 🇮🇹 .
Not Ful yet, but getting there. This is the leftover breakfast edition served here with avocado, spring onion, fresh parsley, pumpkin seeds and smoked paprika. I couldn't resist adding a dash of @crystal.hot.sauce to mine for a nice little kick.
Add coffee (checking out @waitroseandpartners own Papua New Guinea blend which promises – and delivers – wine notes). Wine not?
넌 궁금한게 많은 아이였잖여. 할머니! 부르곤 재미난 소리들을 잘혔어. 개미들두 나처럼 이불 덮고 자? 하늘의 스위치는 누가 꺼서 아침이랑 밤이 와? 할민 그런 소릴 하는 너가 어디서 왔는지 신기혔었어. 너라는 애를 모르고 사십 년 넘게 살았었는데 그때 넌 어디 있었냐. 어디서 와서 이런 신기한 신기한 얘길 하는거여.
We are here to sweeten up!
Brunch experience 🌝🥐🥚☕🍽. I recommend the #eggbenedict and #affogato , I will definitely back again 🙋♀! So yum! .
The BEST CROQUE MADAME in town which never fails you !! @parisienne_resto .
Don't forget we're open from 8-3PM tomorrow for ANZAC day!
Why not try our Vegetarian Goulash, with stewed root Vegetables, Rye and grated Manchego.
How cute is this thank you note I got from @danielle.jordaan.art 's birthday girl gang?😭❤ I think @bueno.boards and fairy lights are my new fav combo! BIG thank you to @yesandphotos for taking the time to snap a few pictures for me. What a talented, creative bunch!
Butter 100g, sugar 70g, flour 100g, egg 2, cake powder 3g, salt 1g, milk 100g, coconut 40g.
We are open tomorrow for Anzac Day!
First to take the Kitchen Stage is Korea's Doyen of Desserts, Chef Justin Lee. At his JL Dessert Bar in Seoul he celebrates local seasonal produce, so in Bali he'll do the same. Although Indonesian ingredients may be foreign to him, he'll demonstrate that understanding balance of flavor is key to creating exquisite desserts.


text:
Hull boss Bruce full of praise for Brady
By Aidan Fitzmaurice
October 26 2014 06:28 PM
STEVE Bruce says that Robbie Brady has played his way into the Hull City side after a superb defensive display against Liverpool.
Brady, 22, started his first Premier League game of the season at Anfield but delivered a very solid display where he managed to keep Raheem Sterling quiet, Brady filling in as an emergency wing back after Andy Robertson was ruled out due to injury.
"Robbie never gave Sterling a kick. Robbie spent a long time last year waiting and waiting. But the last two weeks he's looked himself again," said Bruce after the 0-0 draw.
"Robertson will probably be fit next week but how would I say to Robbie Brady after that performance that you're not playing last week? He'll be the first name on the teamsheet."
Meanwhile, UCD boss Aaron Callaghan feels that his side have a good chance of preserving their Premier Division status for next season when they face up to Galway FC tonight.
A win for UCD against Drogheda United on Friday night means that Athlone Town were automatically relegated while UCD head into a two-legged playoff against Galway, who earned a crack at a Premier side having beaten Shelbourne 4-1 on aggregate in the first bout of the playoffs.
Tommy Dunne's Galway have already beaten UCD this season, in the FAI Cup, and Callaghan is keen to se better from his side in the first leg of that playoff at the UYCD Bowl tonight.
"When we played Galway earlier in the season they completely out played us and deserved their victory. The lads will have to be a lot better this time around if we are to have a chance in the tie. However if we play like we have done in the last two games then we will have every chance," says Callaghan.


A roadmap to eliminate CO2 emissions arising from electricity consumption in Noosa by 2026.
This project aims to identify the most efficient and cheapest mix of renewable energy and energy efficiency measures needed to eliminate all carbon dioxide emissions arising from electricity consumption in the Noosa Shire by 2026.
The project speaks to the overarching threat to the Noosa Biosphere Reserve – climate change – but it also notes the potential opportunity that a shift to renewable energy generation would offer to Noosa residents and businesses.
The project will have two outcomes: the ranking of possible measures, and the opportunity to provide a focus point for community engagement on a zero emissions strategy for Noosa.
This is a project that could be the first step in a very transformative process for Noosa. It will serve numerous purposes in terms of informing the Noosa community about the feasibility of "ZEN" and the opportunities that this new wave of renewable energy investment might present.
This project is due for completion in June 2018.


text:
Call for Constitutionally Enshrined Voice Powerfully Renewed in Landmark Speech
The call of the Uluru Statement from the Heart for a constitutionally-enshrined Voice to Parliament was powerfully renewed through a number of speeches at the National Museum by Noel Pearson, Dean Parkin and Vicki Morta, titled "It's Time for True Constitutional Recognition".
The speeches, organised by From the Heart, the campaign for a constitutionally-enshrined Voice to Parliament, showed that the call for a referendum on a Voice to Parliament and true constitutional recognition is a call deep from the heart of our nation.
Mr Noel Pearson, Founder of the Cape York Institute gave the headland speech, titled "It's Time for True Constitutional Recognition". The speech outlined the past calls for recognition by our political leaders, the long history of our nation without recognition of Aboriginal and Torres Strait Islander people and the need for true constitutional recognition through a Voice to Parliament.
Mr Pearson said, "Up until now non-indigenous Australians have told themselves that these 250 years of European history is the only thing that matters to Australia. This is but the blink of an eye of Australia's story and recognition will bridge 65,000 years of precolonial history, cultures and languages with these 250 years."
"Australia doesn't make sense without recognition. Australia is incomplete without recognition. How could there be an Australia without its Aboriginal and Torres Strait Island indigenous peoples? As long as its indigenous peoples remain unrecognised then Australia is an absurdity. A nation missing its most vital heart," Mr Pearson said.
Mr Pearson also proposed a pathway forward for a constitutionally-enshrined Voice to Parliament for the people of Australia.
Mr Pearson said, "Let us complete the legislative design of the Voice and produce an exposure draft of the Bill so that all parliamentarians and the members of the Australian public can see exactly what the Voice entails. Let us set the Bill aside and settle on the words of constitutional amendment that recognises Indigenous Australians and upholds the Constitution, and put the amendment to a referendum of the Australian people at the next best opportunity."
The powerful speech by Noel Pearson was introduced by the From the Heart Director, Dean Parkin, who outlined the challenges of current policy development across Australia, and the need for fair and practical change through a Voice to Parliament.
Mr Parkin said, "There is no policy area in our nation in greater need of disruption than Indigenous affairs. When Aboriginal and Torres Strait Islander people were finally asked, at the back-end of a decade-long process, what meaningful constitutional recognition meant to us, we delivered the Uluru Statement from the Heart and its call for a constitutionally-enshrined Voice. We brushed constitutional symbolism aside and reached for a practical structural reform that has a real impact on lives."
Mr Parkin also said that the proposal for a legislated Voice will not satisfy Aboriginal and Torres Strait Islander people. Mr Parkin said, "We are told of the fears of a failed referendum, about what that will do to our nation and the place of Aboriginal and Torres Strait Islander people within it. In other words, in order to avoid failure, we are better off never trying in the first place. This is a dismal argument that shrinks into its own self-defeatism."
The speeches were concluded with a voice from the community, Vicki Morta, an Integrated Rating onboard the RTM Weipa. Vicki spoke powerfully of the need for a Voice, not just for Australia, but for the community in which she lives.
Ms Morta said, "Our First Nations people have struggled for many years dealing with the impacts of health problems, the education system, land rights and the rights to having a Voice enshrined in the Constitution. We want control of our community, we want to deal with our children and issues our way. This is why the people in our community want their voices to be heard."
"We can change the way our children should be educated, we can change the justice system and teach our children our way. We can work together. Where us Aboriginal and Torres Strait Islanders we can help make a change; to better the future for our children and our children's children."
Dean Parkin 0404 301 095


An interactive light box explains what African Americans were risking when they registered to vote: the safety of their families, their jobs and their congregations. Visitors can listen to a phone conversation as President Lyndon Johnson and Dr. Martin Luther King Jr. worked together to pass the Voting Rights Act. Then, as visitors cross the Edmond Pettus Bridge, they walk into a monumental-sized screen of film on the Bloody Sunday attack on peaceful protestors. From there, visitors successfully march from Selma to Montgomery, culminating with Dr. King's delivery of the "How Long, Not Long" speech from steps of the Alabama state capitol.


text:
package com.ibm.icu.impl;

/**
* Internal class containing selector constants for the unicode character names.
* Constants representing the "modern" name of a Unicode character or the name
* that was defined in Unicode version 1.0, before the Unicode standard
* merged with ISO-10646.
* Arguments for UCharacterName
* @author Syn Wee Quek
* @since oct0600
*/

public interface UCharacterNameChoice
{
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  static final int UNICODE_CHAR_NAME = 0;
  static final int UNICODE_10_CHAR_NAME = 1;
  static final int EXTENDED_CHAR_NAME = 2;
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  static final int CHAR_NAME_CHOICE_COUNT = 4;
  static final int ISO_COMMENT_ = CHAR_NAME_CHOICE_COUNT;
}


text:
From Solesmes: A Beautiful Facsimile of a Montecas...
Fr. Dwight Longenecker on Worship Ad Orientem
The Ordinariate Church in London re-establishes li...
"The Offertory Chant is Necessary at Mass" - Fr Er...
Three Medieval Art Classes this July - Learn the S...
Notes from Norcia [UPDATED]
The Apodosis, or Leavetaking, of Pascha
Blessed Sacrament Procession in Central London
Rogation Days and Ascension Photo Request
The Lumen Christi Simple Gradual - from Adam Bartl...
For the Feast of St Philip Neri: The Oratory of Na...
The Feast of St Philip Neri at the London Oratory
"A Renaissance Will Come": Dr. de Saventhem's Prop...
Solemn First Mass in the Cathedral Basilica of SS....
Fota VII Liturgical Conference in Cork, Ireland
Holy and Great Constantine, Equal to the Apostles
Latin Holidays with the Familia S. Hieronymi
From Simple English Propers to the Lumen Christi S...
Ordinations at St John Cantius, Chicago
Creating the New Culture of Beauty - a little pari...
A Surge of the Heart
The Feast of Saint John Nepomuk
Sacred Music and the Virtue of Religion: An Upcomi...
CMAA Celebrates 50 Years
FSSP Ordination in Leesburg Virginia, June 14
Updates from Holy Name in Brooklyn, St Elias in Br...
The Episcopal Ordination of Oratorian Fr Robert By...
Blessed Sacrament Procession in Cambridge MA
Cardinal Burke on the value of the liturgy in form...
Statement from the Archdiocese of Boston concernin...
Per aspera ad astra: On Hard-Identity Catholicism
Ordinariate Festival in London
The Theology of the Offertory - Part 5: What the O...
Solemn High Mass in Kowloon, HK
Liturgical Resources: iBreviary and "Alma Bracaren...
The Lumen Christi Simple Gradual
Are The True Intentions of the Council being Follo...
EF Pontifical at the Cathedral of SS. Peter and Pa...
EF in DC
"Liturgy that requires ecstasy": McLuhan Meets Rat...
Sacred Choral Works CDs now available
On film: the enthronements of two Archbishops of W...
In Honor of Saint Pius V
The Populus Summorum Pontificum Pilgrimage 2014
Catholic Artists Society Mass in New York this com...
Some Liturgical Notes on St Joseph the Worker (and...
Three Medieval Art Classes this July - Learn the Style of the English Gothic School of St Albans
For any who are interested, here are the contact details for three residential summer schools that offer instruction in painting illuminations in the style of the gothic Masters of the School of St Albans (which flourish in the 13th century England). I am the teacher at each. In this week of the Feast of the Visitation, as an example I offer a modern illumination in this style.
From mid-July, there are courses in
Diocese of Kansas City, Kansas (July 14- 18th);
Contact: Kimberly Rode at ecat2@archkck.org
St Mary's University College, Calgary, Canada (July 21-25th),
Email: sacredarts@stmu.ca
Thomas More College in Merrimack, NH (July 27-August 2). Contact: Gwyneth Holston, gholston@thomasmorecollege.edu
All come in at under $600. Although each is taught as a class in which we work together, each class is taught so that each person gets a high level of individual attention and personalized instruction. This allows everyone work at his own pace and level. Each course will be suitable therefore, both for beginners and the more experienced. If you have already done one of these courses this will be for building on what you already know - you will be able to choose your own image and will benefit from more instruction. Students will learn the traditional technique of egg tempera.
At all three, I will teach people also how to pray with visual imagery (a lot more straightforward than many imagine) and explain how to set up an icon or image corner as a focus of prayer in your home (as described in the book, The Little Oratory). At the courses in Kansas and at Thomas More College the singing of the Divine Office will run through the course, so people who wish to will have a chance not only to sing the psalms, but potentially also learn to do so at a level that they can start doing it at home or parish - perhaps in front of your own icon corner.
The icon class at Thomas More College coincides with a lecture series the college is presenting that features myself, NLM's own Matthew Alderman, the founder and director of the Catholic Artist's Society Kevin Collins, the well known sculptor Andrew Wilson Smith and finally, but not least, Dr Ryan Topping the author of Rebuilding Catholic Culture. All lectures are open to the public and free to attend.


text:
Lindner in West Africa: Why the Minister of Finance is traveling to Mali
EU: How the development bank EIB can help against Biden's subsidies – Economy
Munich schools are allowed to distribute period products free of charge – Munich
High prison sentences after the largest find of cocaine in Bavaria – Bavaria
Knäbel about Schalke's possible descent and the Kramer crash
Peter Kneg
Peter Knäbel commented on the situation at Schalke 04. A renewed descent would be financially tolerable. Frank Kramer's end was not foreseeable for him.
Any relegation would be very bitter for Schalke 04, but financially manageable. In addition, the crash under Frank Kramer was not foreseeable. That's what Peter Knäbel thinks, who already knows how to praise the new coach Thomas Reis.
Schalke will start the second part of the season with just nine points from their first 15 games. The prospects of staying up in the league could hardly be worse if it comes to the point average so far.
Peter Knäbel is aware of this starting point. And yet he assumes that royal blue will ultimately stay in the Bundesliga. "Because we should have earned more points and we got the right coach in Thomas Reis," he said sports picture.
Knäbel: Relegation would be bitter, but Schalke can survive
Despite the optimism: relegation is a very realistic scenario for S04. It would be "emotionally bitter and financially a step backwards," said the sports director, describing the general conditions.
"We would lose time and money. But we won't let that deter us, because we will do everything we can to ensure that we remain first class," emphasized Knäbel. However, the second relegation within three years would be financially secure. The "planning scenarios" would show that. So the question would not be whether the club would survive relegation financially, but with what financial strength the renewed promotion could be tackled.
The fact that these questions are already so pressing for the winter break is primarily due to the poor performance under Frank Kramer. When he was appointed head coach, many fans assumed that they would have to part ways again in a few months.
"Frank Kramer was the best solution for our constellation in the summer," explained Knäbel. "We didn't bring Frank because he was left over, but because we were convinced that we could achieve our goals with him."
He also defended Kramer: "I would like to remind you that after six matchdays we were in twelfth place as a promoted team with six points. It was not to be expected that such an extreme downward trend would occur after the seventh matchday."
Especially with the last sentence, some fans might want to contradict. After all, Schalke had big problems under Kramer right from the start to assert themselves on the offensive. In addition, the table image was due to the bad starts of some clubs, such as at Bayer Leverkusen or the VfL Wolfsburgstill very distorted.
Reis provides a new glimmer of hope at S04
And yet Knäbel now draws much more hope from the employment of Thomas Reis. His football "emotionalizes and also suits Schalke", he is sure.
"He has a clearer and bolder plan for how the team should play. You can see that clearly, and the numbers show it too. The activity of every single player on the pitch has increased significantly," praised the sporting director.
The team is now attacking higher and bolder, clearly following the coach's plan. The 56-year-old described this as "the basic requirement for success", which in turn is "the most important thing".
Spain vs Germany: The Analysis with Tobias Escher
Everything about S04 at 90min:
This article was originally published on 90min.com/de as Knäbel about Schalke's possible descent and the Kramer crash released.
#Subjects
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Posted inSport
Tagged crashdescentKnäbelKramerSchalkes


Services - Software Developement service at affordable price!!
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Website with modern look and multiple different templates to choose from.
Everyting in Bronze website plus additional pages, extra email accounts, and more.
Everything in Silver website with additional pages, blog, extra email accounts, and more.
Click image to view template.
Quantum was able to deliver a modern looking website in a short time period. Quantum uses the latest and greatest technology allowing my website to run on any browser on any device (mobile, tablet, and desktop).
From the first day we were referred over to Quantum Integrated Systems they tailored to our needs and priorities. The guidance and advice we received from Quantum allowed us to feel confident in our decisions. Everything they have done is superb. If had a question or needed to make a change, it felt like they dropped everything to cater to my requests. They are a great company that I would give a 5-Star rating - 110% Satisfaction - 2 Thumbs UP!
From project inception through to completion, Mark and his team have offered professional creative input, been highly responsive and delivered the redesign of our website timely! Our project team is extremely knowledgeable in both their product and our industry allowing us to offer both functionality and beauty for our newly designed website. We highly recommend Quantum for your website needs!
Mark Van Horn and his company, Quantum Integrated Systems, have been an excellent partner to us. They have provided timely, effective expertise in getting our website designed, then up and running. Plus, they have worked very hard in helping market that website. I just can't say enough good things about them. I'm very pleased.
Our Firm exists in a niche environment and we have several different web properties ( websites ) that we use for those niche offerings.
We have four different websites with Quantum & keep coming back to them for more websites because the end product is so incredibly consumer friendly and the team at Quantum is so responsive that it helps us do business better. Strongly encourage you to connect with Quantum and see for yourself.


Orders will be delivered on Saturday, 16 March. The profit from these deliveries goes toward FGA activities in the village.
The annual AGM is an opportunity to learn about the FGA and elect new officers. Our speaker for the evening will be Marcus Kohler, a local ecologist with over 30 years' experience and founder of the award-winning business MKA Ecology (www.mkaecology.co.uk). We always welcome new committee members to help us beautify our village. Wine and snacks will be served after the meeting.
This popular event is your chance to pick up new plants for your garden and home. From vegetables to flowers, you'll find what you need for the coming summer growing season while enjoying a tea and scone.
One again your neighbours will be generously opening their beautiful gardens for a wonderful Sunday stroll through Foxton. It's a great event with tea and delicious cakes along the way.
The Village Show is our biggest event in the FGA calendar. We had a great show in 2018 and encourage everyone to participate this year with entries in our wide range of horticulture, culinary and craft categories. Every house in the village will receive a Village Show programme later in the year with all the details and an entry form. It's great fun for the entire family.


The National Institute of Economic and Social Research's latest growth predictions are certainly grim: the think tank projects that the economy will shrink by 0.1 per cent in 2012. That means, fewer jobs, smaller wages, and a harder economic time for most UK citizens.
However, we knew that these would be difficult times. What was meant to act as consolation was that we would be reducing the deficit and ensuring our long-term financial health.
But, as we know from the correlation between growth and the deficit using the Office for Budget Responsibility's (OBR) own figures, such a contraction will increase the deficit.
Using George's Marvellous Deficit Calculator, an economic contraction of 0.1 per cent relates to a deficit of 8.4 per cent in 2012/3 – missing Osborne's initial projection of 5.5 per cent – half as much again.
It is around one quarter larger than 6.6 per cent deficit projected under the Darling plan by the OBR.
And as Will Straw and Guido Fawkes have pointed out this, he can't blame the poor performance on the Eurozone crisis as the trade deficit with the continent continues to shrink.
"Contractionary Fiscal Expansion" isn't working. What we have, some people might say unsuprisingly, is "contractionary fiscal contraction". The game is up, and it is time for the government to put the economy before its pride and admitted it is so.
Why, it's almost like you're ducking responsibility for backing a disastrous plan which has crushed the UK economy again. And copy/pasting nonsense is still just that.
What will it take for them to change course on the deficit?
Keep taking the tablets Leon!
Of course, anyone who disagrees with your far-right corporatist ideology must be mentally ill. Typical social darwinistic nonsense.
So sorry I think people are more important than legal fictions.


text:
VIDEO PODCAST: Slava Ukraini! - recorded on 24 February 2022, the day Europe woke up to the news that Vladimir Putin's Russian forces had invaded Ukraine. A fifty minute video which also features Caitríona O'Leary and Eric Fraad discussing their new film Island of Saints, and pays tribute to Joseph Horovitz, Malcolm Troup and Maria Nockin.
John Ardoin
African Pianism
Ernesto Lecuona
Olga Watts
Sartori and Quarantotto
FEEDBACK: She said WHAT? Read what people think about our Classical Music Daily features, and have your say!
Mark Ermler
Russian conductor Mark Ermler was born in Leningrad on 5 May 1932. He was an early starter, learning the piano from age five, beginning to conduct when he was sixteen and making his debut with the Leningrad Philharmonic whilst still a conservatoire student.
He conducted many orchestras throughout Europe and Japan, and recorded various complete operas for EMI. He was also known for his ballet conducting, and for leading the first performances of Prokofiev's final opera, The Story of a Real Man.
Mark Ermler died on 14 April 2002, aged sixty-nine, in Seoul, South Korea, whilst rehearsing the Seoul Philharmonic Orchestra.


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At Human Link, we strive to provide the best service with precision
Human Link adopts the One-Health philosophy that links human, animal, and environmental health. At the heart of this philosophy is the notion that a healthy environment leads to healthier humans and healthier animals. It aims at reducing the burden of diseases affecting humans through unhealthy animals and unhealthy environments. At the same time, it aims at reducing the burden on the environment exerted by humans and animals.
We endeavor to engage and expand our network of public and private stakeholders in various fields of life sciences, develop solutions through the use of cutting-edge technologies while promoting and applying early disease detection, preparedness plans, and response activities.
We Are Trusted Experts & Here Are Our Values!
Human-Link moves forward with established values that resonate within the company among team members and with partners and affiliates, across the board. We use our Values to demonstrate how we intend to be with each other, with clients, with suppliers and other stakeholders.
Our Core Features
Human Link consists of a multidisciplinary team of scientists and experts in the fields of life sciences, human development, engineering, and public health, with a common goal of "Research Advancing Knowledge." Human Link is defined by it's core features:
Human-Link is committed to providing six service verticals, we use our skill, experience, drive and determination to deliver the solutions necessary to achieve our clients' goals.
Three Modes of Operation
Human Link operates under three simplified models designed to provide a 360 degrees solution covering or potential needs of our clients
Our work has been featured on global media platform including Netflix, BBC, ABC News, Aramcoworld, and others.
BBC Documentary on Human Link's Surveillance Program in Lebanon
Pandemic: How to Prevent an Outbreak | Netflix Official Site
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Since its establishment, Human-Link has been continuously publishing peer reviewed articles, exceeding a hundred till current date.
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Human-Link prides itself in delivering excellence for all its clients. We vision ourselves as an extension of clients' team, and as a trusted partner.
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Finely grind veal and pork, leaving some fat on pork.  Combine meats.
necessary.  Chill for 1 hour.
Taking about 2 tablespoons of the mixture at a time, roll into balls.
From: "The Complete Middle East Cookbook" by Tess Mallos.


great trainer. However I too can't get the money cheat to work.
How about not being a ****head? They are obviously doing a lot. He even posted on fing Vacation you nabsackle.
Yeah, money didn't work for me at first, but then I deleted all the old trainers, and cleared my appdata/local/temp folder and redownloaded the trainer. Launched game, hit f1 at menu and it works perfectly. Works for saves and new games. No reboot required.
You run a guy into the ground for pointing out a problem with the trainer and then you beg for help with the very same thing.
You have some serious maturity issues to work out.
Na, he does not need to be upset over something like that. He should just say it nicely. And yes I posted about it first. But I also understand that they don't have enough time in the day to fix every problem.
And as a after thought, maybe what he posted is not that bad. But he does not need to give the thumbs down to a great trainer.
Just tried this, it did not seem to work.
I think I will just wait until a new version comes out. Thanks for the help man.


text:
Press Releases Hagedorn campaign: Campaign off to historic fundraising start
Hagedorn campaign: Campaign off to historic fundraising start
Supreme Court Candidate Judge Brian Hagedorn announced on Thursday that his campaign raised over $310,000 in the final six months of 2018, surpassing the top fundraising totals of any recent Supreme Court candidates during the July-December reporting period.
Judge Hagedorn released the following statement:
"I am so grateful for the generosity and enthusiasm of our supporters across the state. I cannot thank them enough for giving us the resources to spread our message of dedication to the constitution and the rule of law. It is humbling to know that so many give their hard-earned dollars to this campaign, and I hope to make them proud on April 2."
Judge Hagedorn's campaign raised $310,629.58 going into 2019, almost $50,000 more than the next-closest fundraising total during the same period:
A copy of the cover sheet can be found here.
Judge Hagedorn was appointed to the bench in 2015 and won election to a new six-year term in April 2017. Before joining the bench, Judge Hagedorn's legal practice included serving in some of the most consequential legal positions in the State of Wisconsin. Along with a background in private practice, Judge Hagedorn served as a law clerk at the Wisconsin Supreme Court where he assisted Justice Michael Gableman in deciding cases and writing opinions. He also worked as an Assistant Attorney General at the Wisconsin Department of Justice, and most recently, as Chief Legal Counsel to Governor Scott Walker. In these roles, Judge Hagedorn has participated in some of the most significant and high profile cases in Wisconsin history. Judge Hagedorn and his wife, Christina, live in Oconomowoc with their five children.
To learn more about Judge Brian Hagedorn, please visit JudgeHagedorn.com.
JR Ross


text:
\section{Introduction}

Ultracold atoms offer an ideal playground to study few-body and many-body physics in a controlled manner. By fine-tuning the $s$-wave scattering length $a_s$ between atoms using a Feshbach resonance~\cite{inouye1998observation,*chin2010feshbach}, three-body bound states called Efimov states~\cite{efimov1970energy,efimov1973energy,*braaten2006universality} have recently been observed through an enhanced atomic loss around the resonantly interacting regime $1/a_s=0$~\cite{kraemer2006evidence,*PhysicsF}. As for the many-body physics, the BEC-BCS crossover and its universal behavior around the resonant regime have been studied both experimentally~\cite{horikoshi2010measurement,*nascimbene2010exploring,*van2012feynman} and theoretically~\cite{PhysRevLett.92.090402,chen2005bcs,tan2008energetics,*tan2008large,*tan2008generalized}.

Polaron physics can also be studied with ultracold atoms~\cite{PhysRevLett.102.230402,*SalomonPolarColl,PhysRevLett.106.105301,*koschorreck2012attractive,kohstall2012metastability}. In systems with large population imbalance, the minority atoms interact with the surrounding majority atoms and form dressed atomic states called polaron states. The binding energy of the polaron state has been measured by the radio frequency spectroscopy in a two-component Fermi system, and the transition from fermionic polarons to dimers has been observed as $a_s$ is varied~\cite{PhysRevLett.102.230402}. While single-polaron properties have been studied experimentally and found excellent agreement with theoretical predictions~\cite{PhysRevLett.98.180402,PhysRevLett.102.230402}, the fundamental understanding of effective interactions between the polarons is still lacking. The effective interactions between polarons are mediated by the surrounding fermions. This is a non-trivial many-body process, especially when the $s$-wave scattering length between the minority and majority atoms is resonantly large.

The effective interactions is closely related to the stability of the system. For a system of two heavy and one light particles resonantly interacting with each other, the effective interaction between the heavy particles mediated by the light one is strongly attractive. Through this attraction, the Efimov states may appear, rendering the system unstable via the three-body loss~\cite{efimov1973energy,*braaten2006universality}. When the light fermions form the Fermi sea, on the other hand, the effective interaction is numerically found to acquire an additional repulsion, and the formation of the Efimov states is suppressed~\cite{PhysRevA.79.013629,PhysRevLett.106.145301}. This suggests that the Fermi sea tends to suppress the three-body loss. It is important to know under what condition such a suppression of the Efimov effect may occur, and whether a similar suppression can occur against four-body bound states, five-body bound states, etc.

In this paper, we study the effective interaction between polarons in a system of an arbitrary number of heavy particles immersed in the Fermi sea of light fermions. With the Born-Oppenheimer method, we analytically show that the effective interaction between the heavy particles vanishes in the limit of high light-fermion density. To be more specific, we prove the following theorem:

\noindent {\it Theorem.} Consider a mixture of $N$ heavy particles with mass $M$ and light degenerate fermions with mass $m$. The number of the light fermions is assumed to be so large that the Fermi sea is formed and the grand canonical ensemble can be applied to the light fermions. The statistics of the heavy particles is arbitrary: identical fermions, bosons, or distinguishable particles. The interaction between the heavy particles and the light fermions is assumed to be a zero-range interaction with the $s$-wave scattering length $a_s$~\cite{bethe1935quantum,*PhysRev.105.767}. The interaction between the light fermions and that between the heavy particles are assumed to be non-interacting. Then, within the Born-Oppenheimer method, the effective interaction $V_{\mathrm{eff}}(\bm{R_1}, \bm{R_2}, ..., \bm{R_{N}})$ between the $N$ heavy particles positioned at $(\bm{R_1}, \bm{R_2}, ..., \bm{R_{N}})$ mediated by the light fermions vanishes in the limit of $k_F \rightarrow +\infty$:
\begin{equation}
\lim_{k_F \rightarrow +\infty} V_{\mathrm{eff}}(\bm{R_1}, \bm{R_2}, ..., \bm{R_{N}}) =0,
\end{equation}
where $k_F$ is the Fermi momentum of the light fermions.

In other words, the effective interaction between the heavy polarons becomes small in the dense fermionic environment. Note that $a_s$ can take on any value as long as $\displaystyle k_F^{-1} \ll |a_s|, |\bm{R_{i}}-\bm{R_{j}}|$, so that the theorem is also applicable to the unitarity limit $1/a_s=0$.  This suggests that the formation of the $N$-body bound states associated with the Efimov effect is suppressed for any $N$ by a dense Fermi sea.

We ascribe this vanishing effective interaction to the screening in the neutral Fermi system. While the screening is a well-known phenomenon in the charged Fermi system, for a neutral Fermi system, little analytical results have been obtained in the resonantly interacting regime $ k_F |a_s| \gg 1$. The above theorem suggests that the screening phenomenon occurs for the neutral Fermi system, including the resonantly interacting regime.

This paper is organized as follows. In Sec. II, we define the effective interaction between the heavy particles with the Born-Oppenheimer method, and prove the main theorem. In \secref{disc}, we discuss the physical origin of the vanishing interaction and non-adiabatic effects. In Sec. IV, we conclude this paper.

\section{Mathematical description of the effective interaction}

\subsection{Definition of the effective interaction}

We define the effective interaction between the heavy particles $\displaystyle V_{\mathrm{eff}}(\bm{R_1}, \bm{R_2}, ..., \bm{R_{N}})$ in the same manner as in Refs.~\cite{PhysRevA.79.013629,PhysRevLett.106.145301}. With the Born-Oppenheimer approximation, we solve the Schr\"odinger equation for the light fermions by regarding the heavy particles as fixed impurities, positioned at $\bm{R_1}, \bm{R_2}, ..., \bm{R_{N}}$. Then, the obtained energy eigenvalue gives an effective interaction between the heavy particles. Since the light fermions are assumed not to interact with each other,  the solution of the Schr\"odinger equation for the light fermions is given by the Slater determinant $\displaystyle \Psi_L(\bm{r_1},\bm{r_2},...) = \mathcal{A}\prod_{i} \psi_{\bm{R}}^{(i)}(\bm{r_i})$, where $\mathcal{A}$ is the antisymmetrizer, $\bm{r_i}$'s are the positions of the $i$-th light fermions, and  $\displaystyle \psi_{\bm{R}}^{(i)}$'s are the solutions of the single-particle Schr\"odinger equation in the presence of the impurity potentials located at $\bm{R}=(\bm{R_1}, \bm{R_1}, ..., \bm{R_{N}})$. The energy eigenvalue for the light particle is the sum of the single-particle eigenvalues $\varepsilon_i(\bm{R})$ corresponding to $\displaystyle \psi_{\bm{R}}^{(i)}$: $\displaystyle  E(\bm{R})= \sum_{i} \varepsilon_i(\bm{R})$. The effective interaction between the heavy particles induced by the light fermions is obtained by subtracting the chemical potential of $N$ independent polarons:
\begin{equation}
V_{\mathrm{eff}}(\bm{R_1}, \bm{R_2}, ..., \bm{R_{N}})=E(\bm{R})- \lim_{|\bm{R_{ij}}|\rightarrow\infty}E(\bm{R}),
\end{equation}
where $\displaystyle \lim_{|\bm{R_{ij}}|\rightarrow\infty}$ means that all the heavy particles are far apart from each other so that they may be regarded as $N$ independent polarons.

For $N=2$ (i.e. two heavy particles immersed in the light Fermi sea), $\displaystyle V_{\mathrm{eff}}$ has been calculated and studied numerically~\cite{PhysRevA.79.013629}. As the number of the heavy particles increases, however, it becomes impractical to calculate $\displaystyle V_{\mathrm{eff}}$ numerically, since the effective interaction cannot be written as a simple sum of two-body interactions, but rather it includes all the three-body, four-body, ..., and $N$-body interactions. To circumvent this difficulty, we use a formal scattering theory to investigate $\displaystyle V_{\mathrm{eff}}$.

\subsection{\label{sec:Proof}Proof of the theorem}
To evaluate the effective interaction, we need the energy eigenvalues of the single-particle Schr\"odinger equation $\displaystyle \varepsilon_i(\bm{R})$ under the impurity potentials positioned at $\displaystyle \bm{R_1}, \bm{R_2}, ..., \bm{R_{N}}$. The total energy is the sum of the contributions from the continuum states ($\displaystyle \varepsilon_i \ge 0$) and the bound states ($\displaystyle \varepsilon_i < 0$):
\begin{equation}
\begin{split}
E(\bm{R})& = \sum_{\varepsilon_i \ge 0} \varepsilon_i(\bm{R})  + \sum_{\varepsilon_i <0} \varepsilon_i(\bm{R}).
\end{split}
\end{equation}
To evaluate the continuum part, we consider the scattering problem under the impurity potentials. Let us define the scattering phase shifts  $\delta_n(k)$ as eigenvalues of the S-matrix $\mathcal{S}(k)$~\cite{newton1977noncentral1,*newton1977noncentral2}:
\begin{equation}
\mathcal{S}(k)\bm{v}_n(k)= e^{2i \delta_n(k)}\bm{v}_n(k). \ \
\end{equation}
We first show that the continuum part of the effective interaction is related to the scattering phase shifts through the following lemma:

\noindent {\it Lemma }({\it generalized Fumi theorem})
\begin{equation}
\begin{split}
\label{eq:Fumi_pot}V_{\mathrm{eff}}(\bm{R_1}, \bm{R_2}, ..., \bm{R_{N}}) &= V_{\mathrm{eff}}^{\mathrm{cont}}(\bm{R}) + V_{\mathrm{eff}}^{\mathrm{BS}}(\bm{R}),
\end{split}
\end{equation}
where $\displaystyle V_{\mathrm{eff}}^{\mathrm{cont}}(\bm{R})$ and $\displaystyle V_{\mathrm{eff}}^{\mathrm{BS}}(\bm{R})$ are the continuum and bound-state contributions, respectively, which are given by
\begin{equation}
 V_{\mathrm{eff}}^{\mathrm{cont}}(\bm{R})=-\frac{1}{\pi m}\sum_n\int_0^{k_F}kdk  \delta_n(k) ,
\end{equation}
\begin{equation}
V_{\mathrm{eff}}^{\mathrm{BS}}(\bm{R}) =  \sum_{\varepsilon_i <0}\left[ \varepsilon_i(\bm{R}) -  \lim_{|\bm{R_{ij}}|\rightarrow\infty} \varepsilon_i(\bm{R}) \right].
\end{equation}
For the case of a single impurity ($N=1$) in the absence of bound states, this lemma reduces to the Fumi theorem~\cite{fumi1955}.

{\it Proof of lemma.}  We use the Friedel sum rule~\cite{friedel1952,PhysRev.121.1090,newton1977noncentral1,*newton1977noncentral2}
\begin{equation}
\label{eq:Fsum}N_I-N_0 = \frac{1}{\pi}\sum_n \delta_n(k_F),
\end{equation}
where $k_F$ is the Fermi momentum of the light fermions, and $N_I$ and $N_0$ are the numbers of the light fermions evaluated by the grand canonical ensemble with and without the impurity potential, respectively. For a central potential, the index $n$ represents the angular momentum quantum number $(l,m_l)$, and we recover the original Friedel sum rule. While the Friedel sum rule was originally proved for an ideal Fermi gas interacting with a central impurity potential~\cite{friedel1952}, it was subsequently generalized for an interacting system~\cite{PhysRev.121.1090} and also for a non-central potential~\cite{newton1977noncentral1,*newton1977noncentral2}. The impurity potential produced by $N$ heavy particles, in general, is a non-central potential. Even in such a case, the Friedel sum rule remains valid~\cite{newton1977noncentral1,*newton1977noncentral2}.

Using the Friedel sum rule, we can prove the generalized Fumi theorem. We recall that the number of the light fermions is related to the thermodynamic function $\Omega$ of the light fermions through the thermodynamic relation $\left(\dfrac{\partial \Omega}{\partial \mu}\right)_{T,V}=-N$. By integrating this relation with respect to the chemical potential for systems with and without the impurity potentials and using the Friedel's sum rule, we obtain
\begin{equation}
\begin{split}
\label{eq:Fumi}\Omega_I-\Omega_0 &=-\int_{\mu\ge 0} (N_I-N_0)d\mu - \int_{\mu < 0} (N_I-N_0) d\mu ,\\
&= -\frac{1}{\pi m}\sum_n\int_0^{k_F}kdk  \delta_n(k) -  \int_{\mu < 0} N_I  d\mu,\\
\end{split}
\end{equation}
where $\Omega_I$ and $\Omega_0$ are the thermodynamic function with and without the impurity potentials, respectively. In deriving the second equality, we use $N_0=0$ for $\mu<0$: there is no bound state in the absence of any potential. Because the light fermions are non-interacting, we can put $\mu_I\approx \mu_0 \approx \dfrac{k_F^2}{2m}$ in \equref{Fumi}. In fact, the shift in the energy level induced by the impurity potential is of the order of $V^{-\frac{1}{3}}$, where $V$ is the volume of the system, and the shift is negligible in the thermodynamic limit. Substituting $\displaystyle N_I=\sum_{i} \Theta (\mu - \varepsilon_i(\bm{R})) $, where $\Theta$ is the Heaviside step function, the second term in the second line of \equref{Fumi} can be evaluated as
\begin{equation}
 \int_{\mu < 0} N_I  d\mu = -\sum_{\varepsilon_i<0}\varepsilon_i(\bm{R})
 \end{equation}
The thermodynamic function of the light particles may be regarded as an effective interaction between the heavy particles, and we obtain
\begin{equation}
\begin{split}
\label{eq:Fumi2}E(\bm{R})= -\frac{1}{\pi m}\sum_n\int_0^{k_F}kdk  \delta_n(k) + V_{\mathrm{eff}}^{\mathrm{BS}}(\bm{R}) + \mathrm{Const}.\\
\end{split}
\end{equation}
We thus obtain \equref{Fumi_pot}.

{\it Proof of the theorem.} Using the lemma, we can prove the main theorem. We first use the following relation between the phase shifts and the Fredholm determinant $D(k)$~\cite{newton1977noncentral1,*newton1977noncentral2}:
\begin{equation}
\label{eq:delta_Det}\sum_n \delta_n(k) = -\frac{k}{4\pi}\int d\bm{x} U_{\bm{R}}(\bm{x}) + \frac{i}{2}\log\left[ \frac{D(k)}{D^*(k)}\right],
\end{equation}
where $U_{\bm{R}}$ is the sum of the impurity potentials produced by the heavy particles. The Fredholm determinant is defined from the kernel matrix $\mathcal{K}(k)$ of the Lippmann-Schwinger equation as $D(k)=\det[1-\lambda \mathcal{K}(k)]_{\lambda=1}$, and has the following properties for a short-ranged, non-central potential~\cite{newton1977noncentral1,*newton1977noncentral2}:
\begin{enumerate}
\item $D(k)$ is well-defined and analytic for $\mathrm{Im}k \ge 0$;
\item $\lim_{|k|\rightarrow \infty} D(k)=1$ for $\mathrm{Im}k\ge 0$;
\item For a real $k$, $D^*(k)=D(-k)$;
\item The zero of $D(k=i\kappa)=0$ in the upper-half complex $k$-plane has a one-to-one correspondence with a bound state with its energy $\varepsilon= -\frac{\kappa^2}{2m}$;
\item The zero of $D(k)$ can appear either on a positive imaginary plane, or at the origin $k=0$ for a short-range potential.
\end{enumerate}

Substituting \equref{delta_Det} into $V_{\mathrm{eff}}^{\mathrm{cont}}$ and differentiating both sides with respect to $\bm{R}_i$, we find
\begin{equation}
\begin{split}
\label{eq:del_Veff} \nabla_{\bm{R_i}}V_{\mathrm{eff}}^{\mathrm{cont}}&=-\frac{i}{2\pi m}\int_{0}^{k_F}kdk  \nabla_{\bm{R_i}}\log\left[ \frac{D(k)}{D^*(k)}\right]\\
 &=-\frac{i}{2\pi m}\int_{-k_F}^{k_F}kdk  \frac{\nabla_{\bm{R_i}}D(k)}{D(k)}.
 \end{split}
\end{equation}
In deriving the second equality, we have used the property 3 to transform the integration of $D^*(k)$ into that of $D(k)$ along the negative real axis. Now, let us take the limit $k_F\rightarrow +\infty$. The properties 2 and 3 ensure that there is a well-defined limit for \equref{del_Veff}. Furthermore, the properties 1-3 also justify the change of the integration contour into paths $C_j$'s encircling the zeros of $D(k)$:
\begin{equation}
\label{eq:nabla_last}\nabla_{\bm{R_i}}V_{\mathrm{eff}}^{\mathrm{cont}}=-\frac{i}{2\pi m}\sum_j \int_{C_j}kdk  \frac{\nabla_{\bm{R_i}}D(k)}{D(k)}.
\end{equation}
Close to the zero point of $k\approx i\kappa_j$, we can put $D(k) =  \alpha_j (k-i\kappa_j) + O((k-i\kappa_j)^2)$ if the bound state is not degenerate~\cite{newton1977noncentral1,*newton1977noncentral2}. Substituting this into \equref{nabla_last} and performing the integration, we obtain
\begin{equation}
\begin{split}
\label{eq:main_res}\nabla_{\bm{R_i}}V_{\mathrm{eff}}^{\mathrm{cont}}& =\nabla_{\bm{R_i}}\sum_j \frac{\kappa_j^2}{2m}\\
& = - \nabla_{\bm{R_i}} V_{\mathrm{eff}}^{\mathrm{BS}} (\bm{R}).
\end{split}
\end{equation}
When the bound states are $n$-fold degenerate, $D(k)$ behaves as $D(k)\approx \alpha(k-i\kappa_j)^n + O((k-i\kappa_j)^{n+1})$~\cite{newton1977noncentral1,*newton1977noncentral2}. Even with such a degeneracy, we can derive \equref{main_res} from \equref{nabla_last}, and the above result remains valid. Thus, the continuum contribution exactly cancels the bound-state one, and the effective interaction vanishes.

\section{\label{sec:disc}Physical origin of the vanishing effective interaction and non-adiabatic effects}

The vanishing effective interaction is closely related to the behavior of the density variation caused by the impurities. To see this point, let us consider a single impurity immersed in the light Fermi sea. The density variation $\Delta \rho (r)$ induced by the impurity can be expressed as the sum of the bound-state and continuum-state contributions $\Delta \rho (r)=\Delta \rho_B (r)+\Delta \rho_c (r)$, where
\begin{equation}
\begin{split}
\Delta \rho_B(r) &= \frac{1}{2\pi r^2}\theta(a_s)\frac{e^{-\frac{2r}{a_s}}}{a_s},\\
\Delta \rho_c(r) &= \frac{1}{2\pi^2 r^2}\int_0^{k_F}dk [\sin^2(kr+\delta_0(k))- \sin^2 kr],
\end{split}
\end{equation}
and $\delta_0(k)$ is the $s$-wave phase shift induced by the impurity: $\tan \delta_0(k)=-ka_s$. In \figref{dens_plot}, we show $\Delta \rho (r)$'s for several values of $k_F a_s$. For $a_s<0$ (\figref{dens_plot} (a)), there is no bound state and $\Delta \rho_B(r)=0$. The density variation reflects the Friedel oscillations characterized by $k_F$. As $k_F$ increases, the oscillations become faster, but the amplitude remains the same. For $a_s>0$ (\figref{dens_plot} (b)), $\Delta \rho (r)$ is the sum of $\Delta \rho_B(r)$ and $\Delta \rho_c(r) $. We note that $\Delta \rho_c(r)$ follows the $-\Delta \rho_B(r)$ curve on average, so that the continuum states screen the bound-state contribution. Due to this screening effect, $\Delta \rho (r)$ undergoes fast oscillations around the zero on both positive and negative sides of $a_s$. Thus, the interaction between the impurities mediated by the density fluctuation should become weaker as $k_F$ increases regardless of the value of the $s$-wave scattering length or the distance between the heavy particles.

The screening in the neutral Fermi system is qualitatively different from that in the charged Fermi system. In the former case, the induced interaction vanishes due to the cancellation of the bound-state contribution by the continuum one. If we add the Hamiltonian with a direct heavy-heavy interaction, the direct interaction is not screened and the effective interaction between the heavy particles remains finite. On the other hand, in the charged Fermi system, the direct interaction between the heavy particles is canceled by the induced one.

 \begin{figure}
 \includegraphics[width=9cm,clip]{dens_plot.eps
 \caption{\label{fig:dens_plot}(Color online) Density variations induced by a single impurity for (a) $a_s<0$, and (b) $a_s>0$. In (a), $\Delta \rho(r)$ is shown for $k_F a_s =-10$ (red dashed curve) and $k_F a_s =-30$ (blue solid curve). In (b), $\Delta \rho_c(r)$ is shown for $k_F a_s =10$ (red dashed curve) and $k_F a_s =30$ (blue solid curve). The black dotted curve represents $-\Delta \rho_B(r)$. The inset shows the total density variation $\Delta \rho(r)=\Delta \rho_B(r)+\Delta \rho_c(r)$.}
 \end{figure}

For the effective interaction between two heavy particles ($N=2$), the exact cancellation of the effective interaction can also be shown by explicit calculation of the subleading contribution to the effective interaction at large density. When $k_F$ is large, one can show that $V_{\mathrm{eff}}$ behaves as
\begin{equation}
\begin{split}
\label{eq:correct}V_{\mathrm{eff}}(r) =&-\frac{\cos 2k_F r}{2\pi m  k_F r^3}-\frac{\sin 2k_F r}{4\pi m k_F^2 r^4}  + \frac{\sin 2k_F r}{\pi m r^3 k_F ^2a_s}  \\
&+ \frac{1}{m}O\left( \frac{1}{k_F^3 a_s r^4}, \frac{1}{k_F^3 a_s^3r^2},\frac{1}{k_F^3 a_s^5},... \right).
\end{split}
\end{equation}
The effective interaction is suppressed by a factor of $k_F^{-1}$, and becomes small as $k_F$ increases.

Our theorem suggests that the formation of the $N$-body bound states associated with the Efimov effect is suppressed for any number of heavy particles by the dense Fermi sea. For two heavy particles $N=2$, the suppression of the Efimov effect was numerically found in Ref.~\cite{PhysRevLett.106.145301}. Our work presents a more general argument, which is applicable for arbitrary number of heavy particles. Since the appearance of the Efimov associated bound states is closely related to the loss processes in ultracold atom experiments, this implies that the $N$-body losses in a resonantly interacting heavy-light mixture may be suppressed by the Fermi sea effects for any $N$.

The non-adiabatic effects beyond the Born-Oppenheimer method need to be considered in discussing the dynamics of the polarons. For systems with moderate mass imbalance, such as a  $^{40}$K-$^{6}$Li mixture~\cite{kohstall2012metastability}, the Born-Oppenheimer approach fails. Even for mixtures with extreme mass imbalance recently realized, such as $^{133}$Cs-$^6$Li~\cite{PhysRevA.87.010701,*PhysRevA.87.010702,PhysRevA.87.010701,*PhysRevA.87.010702} or $^{173}$Yb-$^6$Li~\cite{PhysRevLett.106.205304,*PhysRevA.84.011606}, the non-adiabatic corrections may affect the dynamics significantly. The dynamics of a single heavy particle in a fermionic environment has been studied in the absorption spectra of X-ray~\cite{PhysRev.163.612,*PhysRev.178.1097} or the muon diffusion~\cite{Kondo_Yoshimori201112} in metals. It has been found that the motion of heavy particles create particle-hole excitations in the Fermi sea, which leads to dissipation~\cite{rosch1999quantum}. It has also been suggested that the non-adiabatic effects can create non-trivial correlation between heavy particles~\cite{PhysRevB.11.2122,*PhysRevLett.97.250601}. Our theorem suggests that in the presence of a dense Fermi sea, the adiabatic contribution becomes so small that the dynamics of the polarons is governed by the non-adiabatic contributions. Whether such non-adiabatic corrections remain significant or become negligibly small in the high-density limit remains to be clarified..

\section{Conclusion}

With the Born-Oppenheimer method, we have proved that the effective interaction between an arbitrary number of heavy polarons mediated by light fermions vanishes in the limit of high fermion density. Our theorem holds for any value of the $s$-wave scattering length including the unitarity regime. We ascribe the vanishing effective interaction to the screening effect in the neutral Fermi system. Our work suggests that the $N$-body Efimov effect is suppressed in the presence of a sufficiently dense Fermi sea of light particles. This implies that the $N$-body loss processes may be suppressed by a dense Fermi sea.

\begin{acknowledgments}
We thank Y. Nishida, P. Naidon, and D. Blume for illuminating discussions. This work was supported by KAKENHI 22340114,
a Grant-in-Aid for Scientific Research on Innovation Areas ``Topological Quantum Phenomena" (KAKENHI 22103005),
the Global COE Program "the Physical Sciences Frontier,"
and the Photon Frontier Network Program,
from MEXT of Japan. S. E. acknowledges support from JSPS (Grant No. 237049).
\end{acknowledgments}

redpajama_set_name: RedPajamaArXiv


text:
Taiwan leads Asia in spiritual care to alleviate fear of death
Hospitals adding prayer rooms as fewer passing away at home
A doll representing the dying person in the demonstration. | KYODO
by Takeshi Nishide
Kyodo
TAIPEI – Taiwan is a leader in Asia in spiritual care, integrating medicine and religion to ease the fear of death for terminally ill patients.
When a Japanese group of Buddhist priests and others recently visited a hospital for hospice care run by the Tzu Chi Foundation, an international Buddhist humanitarian organization, in New Taipei City, they heard a Buddhist sutra being quietly chanted in a room.
"A patient has passed away," said a hospital official accompanying the group.
"Buddhism bans a dead person from being moved for eight hours after death," said Cheng Chih Ming, a professor of thanatology at Fu Jen Catholic University. Buddhist sutras are chanted so those who have passed away can achieve a peaceful mind, he said.
Members of the group were surprised because sutra chanting is almost never heard at hospitals in Japan.
Special rooms for religious chants to console the dead are increasing at hospitals in Taiwan because the number of people dying in hospitals rather than at home has been increasing, as in Japan.
While Taiwan has a large population of Buddhists, Taoism, a native Chinese religion, is widely followed as well, according to Cheng. Chanting for Taoists begins even before a patient's death.
The Japanese group was allowed to watch a Taoist ritual for dying patients at the university. In the demonstration, a man and two women played traditional percussion instruments and chanted at the foot of a doll, which was used in place of a dying person.
The ritual is designed to "eliminate the fear of death for a dying person and ease the sorrow of the bereaved," the person who managed the ritual said.
Since 1995, National Taiwan University Hospital in Taipei has maintained a hospice facility where three Buddhist priests work to help terminally ill patients prepare for death.
"When I enter a room, a patient grabs my hand and asks for help," one of the priests said. "My care begins when I grab back his or her hand."
The female priest also said that as patients have different religious faiths, mental care services are offered in accordance with their beliefs, in the same way that chaplains do in Western society.
"If asked, I read the Bible," she said.
In Taiwan, hospice care started at a Christian hospital in 1990, and there are more than 70 such facilities in operation today. Buddhist priests and other religious workers at hospice facilities are also increasing.
Dharma Drum Buddhist College, a leading institute that trains such workers, has been trying to fit hospice theories developed in the West, with care needed by Taiwanese so as to help patients meet a "good death," said Huimin Bhikshu, president of the college and a top theorist on hospice care in Taiwan.
Huimin, who has a doctor of letters degree from the University of Tokyo, showed video footage of a man about 40 hours before his death.
The man, who appeared to be in his 40s, lay on a hospital bed and exchanged last words with family members. Huimin, wearing a priest's robe, stood next to the bed, with a tender smile on his face.
Those present seemed to share Huimin's belief, based on his long experience of integrating Buddhism with hospice care, that "death is natural."
Taiwan, Buddhism, terminal care


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