text:
Forecasters vs. record-keepers: which of the two voices of the IMF should be believed?
By Michael Burrage
German Chancellor Angela Merkel with IMF Managing Director Christine Lagarde. Sean Gallup / Getty Images
The benefits of membership for the UK have been less than remarkable
The IMF has a less than exemplary record of forecasting, having failed to predict the financial crisis
The IMF has two voices. Thus far only its forecasters have been heard in the referendum debate via media interviews of the managing director, Christine Lagarde, and the dismal predictions for the UK post-Brexit published in report last week.
The IMF has another voice, that of its record keepers, which is seldom heard in the debate, since they only speak one-to-one when spoken to and their data seldom spontaneously generates news stories. In the present debate they are, however, worth interrogating. Their datasets provide telling answers to some of the forecasters' gloomy predictions.
In essence, the IMF forecasters' recent paper compares two visions of the future. One is the baseline of continued UK membership of the EU, in which business continues as usual and there are no uncertainties or risks. There is no Eurozone crisis or EC budgetary issues to be resolved, no migration, unemployment, growth or productivity problems. The UK will not therefore be expected to contribute to any Eurozone bailouts, nor to any mid-term budget reviews. The FTT will be forgotten once and for all, along with other unwelcome EC regulatory proposals.
By contrast, in their vision of the post-Brexit UK, one uncertainty follows another, and all turn out badly for the UK economy. Prospective gains of Brexit such as reduction in payments to the EU, or control of immigration, or in the freedom for the UK to negotiate its own trade agreements, are found, for one reason or another, illusory, and not merely of no effect but have a negative impact on the economy. Any reduction in uncontrolled immigration, for example, will apparently reduce immigrants' positive fiscal contribution to the UK economy, and to its productivity, by making it more difficult to match employees to jobs. Why uncontrolled and unpredictable immigration does this matching better than a managed system is not explained.
The alternative voice from the IMF trade datasets does not challenge the forecasters' predictions of course, since it refers only to past events, but in doing so it repeatedly throws doubt on their starting assumptions.
The forecasters try, for example, to demonstrate the benefits of EU membership on UK trade by means of a gravity model. The datasets show that while UK exports to the EU countries grew rapidly over the 20 years of the Common Market 1973-1992, (CAGR 5.69%) they have decelerated significantly during the life of the Single Market 1993-2015 (CAGR 0.98%), and hence show its benefits are imaginary.
The forecasters then try to show that the UK economy will suffer post-Brexit because it would, as they put it, 'lose access to the single market'. It is not entirely clear what this phrase means, since the database shows that 184 countries that had access to the Single Market in 2015 and the goods exports of 131 countries grew faster since 1993 than those of the UK. The data on the exports of services to the EU is more limited, but it similarly shows that, over the years 2004-2012, the exports of sixteen non-member countries have also grown more rapidly than those of the UK.
In sum, the record-keepers show that the benefits of membership for the UK have been less than remarkable, and losing them might not, therefore, be as bad as the forecasters' predict, and they would not require the many concessions which the forecasters think the UK would be obliged to make to secure access to the single market.
The main problem for UK exporters post-Brexit, according to the forecasters, is that they would have to trade under WTO rules, which would, they think, means a significant reduction in UK trade with the Single Market.
The record-keepers are not so sure. They show 88 of the 184 countries trading with the EU are already in this position. If we select the largest 40 of them, with exports to the EU in 2015 of more than $1bn, we find that the exports of 36 of them to the EU grew more rapidly than those of the UK over the years 1993-2015, even though the UK was enjoying all the benefits of EU membership. These figures suggest that either the benefits of membership, or the disadvantages of trading under WTO rules, have been exaggerated, or maybe both.
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The forecasters predict other problems for post-Brexit UK. One is that it would 'need to renegotiate trade relationships with the 60 non-EU economies where trade is currently governed by EU agreements. These renegotiations, they point out, 'could drag on for years…. which in turn would discourage consumption and investment and roil financial markets.'
The IMF record-keepers lead one to wonder whether the financial markets would pay the least attention to these renegotiations. They show that all these agreements, excluding those with EFTA countries, cover just 6 per cent of the markets for UK goods exports, and 1.85 per cent of UK services exports. Moreover, the tariffs due in the event of failed negotiations are minuscule, less than annual fluctuations in the value of sterling, and it is not even certain that these EU agreements have benefited UK exports at all. Pilot measures suggest that, in a majority of cases, post-agreement UK export growth has declined. The post-Brexit UK government might therefore make better use of its time, by negotiating more effective trade agreements than the EC has managed over the past 43 years.
Which IMF voice is to be believed? The forecasting voice of the IMF has a less than exemplary record of forecasting, having failed to predict the financial crisis, grossly underestimated the impact of the austerity measures it helped to impose on Greece, and wrongly predicted the future of UK economy in 2013. They have not, moreover, shown themselves to be able to withstand external political pressures, and in this case are open to the suspicion that they have provided forecasts which they know will please their major shareholders, the EU and the US governments.
The record-keepers by contrast are above suspicion. They owe nothing to member governments and remain impartial and impassive observers. But they have to be asked, otherwise they say nothing.
Michael Burrage is the author of Myth and Paradox of the Single Market and The Eurosceptic's Handbook, both published by Civitas.


text:
Renewed calls for Melbourne club ban on glass bottles, cups
Updated March 23, 2009 11:29:00
A Melbourne hotel operator will consider banning glass to improve safety after a large weekend brawl at his venue.
Police say up to 13 people were injured, some with bottles, when a fight broke out at the Queensbridge Hotel at Southbank.
Police say about 30 people attacked security guards. Ten of them were injured and three bar patrons had minor injuries.
Victoria Police Assistant Commissioner Gary Jamieson, has renewed calls for a ban on the use of glass cups and bottles after 11:00 pm.
Hotel owner Bruce Mathieson Jr says it was the first glassing incident he has had at his venue.
He says he will look at any measures to improve safety.
"We'd consider any responsible measure," he said.
"That's something that we'll discuss with police and liquor licensing as we review this incident like we would any other."
Melbourne's Lord Mayor Robert Doyle says a glass ban is not the answer.
He says it should not have to come to that.
"When we're getting to that point, when we're actually saying we have to do something to pre-emptively to stop people being hit in the face with a glass or by a bottle, then we're to the point where we really should be asking questions about that venue as a whole," he said.
"We have to be absolutely strong in saying unless this is improved and unless we can be guaranteed of people's safety, then we close it down."
Face the consequences
The Government is warning nightclubs to crack down on drunken violence, or face tough consequences.
The Premier, John Brumby, says that's a matter for the Director of Liquor Licensing.
But he says continuing violence will not be tolerated .
"We've toughened up the laws, we've given police stronger powers, we've given the Director of Liquor Licencing stronger powers," he said.
"All of these venues are on notice."
"We want a vibrant Melbourne lifestyle, we want people to be able to enjoy themselves but we don't want repeats of the sort of incident that we saw at the weekend," he said.
Topics: clubs-and-associations, alcohol, police, lifestyle-and-leisure, melbourne-3000
First posted March 23, 2009 11:02:00

redpajama_set_name: RedPajamaCommonCrawl


text:
Sometimes in life, it is the obvious epiphany that can change everything.
June 22, 2015 Be who you wantChloë RainComment
When I was working in hotel development, travel was inevitable. At first, the travel portion of my job was sexy, five years into it, and getting on an airplane was like doing laundry; mundane, routine, dreaded, and inescapable. Life was something like, seven airports in four days or 13 legs, one trip. My modus operandi had become: dump contents of suitcase at the front door, reload, check in, and then off again to the airport. My parents once joked and called me George Clooney from "Up in the Air". I didn't think that was funny. You know, I thought that was a depressing movie. It doesn't have a happy ending.
I tell you all this to say, I didn't enjoy traveling anymore. I hate making small talk on airplanes or in taxi cabs. When I landed in Denver and got picked up by this Rastafarian taxi cab driver with dreadlocks down his back at the airport and he started to chat with me, I was less than thrilled.
He's chatting on in this way about his day and his daughter and he's got this funny way of accenting different words that makes me wonder if he just hasn't smoked too much green stuff.
And then he asks me a question I will remember for the rest of my life:
"Do you know that pickles are cucumbers?"
"I'm sorry, what?"
"Did you know that pickles are cucumbers?"
"Um. Yeah." I responded, "My mom and I used to make pickles when I was a kid from her cucumbers in the garden. I love pickles."
"I was in the grocery store today." he goes on saying. "And I love pickles. And I was putting my groceries on the belt and the guy was scanning my pickles and then he weighed my cucumbers."
and. bam. it. hit. me.
PICKLES ARE CUCUMBERS.
"I saw the whole thing, right there, in front of my eyes at the grocery store. I saw that pickles are cucumbers, for the first time in my life. I wondered how long I have been eating pickles, and cucumbers, and I didn't know?! I didn't know!!!! How could I not know when it was always there right before my eyes?"
"And this just blew me away today, I've just been totally in awe wondering about all the other things in my life that are right in front of my face that are just that obvious but I never had the eyes to see it before?"
"I think you call that an epiphany, my friend."
PICKLES ARE CUCUMBERS. This changes everything.
Other simple and perhaps obvious things that are life altering:
Once in a great while, turn left instead of right when you go out your door. You could find love
You can learn luck and win more cash prizes, scientifically proven.
Be nice. You could get laid or otherwise change someone else's day in a positive way.
Heartbreak doesn't kill you. It feels like it should, but it doesn't actually kill you.
Sounds obvious, could be life altering.
Richard Wiseman - a psychology professor at the University of Hertfordshire- set out to investigate lucky people and their good luck. He was curious to understand why it seemed that lucky people got lucky, had more lucky breaks, and seemed to always be in the right place at the right time. Over the course of ten years he studied "lucky" and "unlucky" people who answered a news paper ad and described themselves as lucky or unlucky- he found that lucky people do infact win more cash prizes in life!
In his book "The Luck Factor" Wiseman describes the 10 year experiment:
"I gave both lucky and unlucky people a newspaper, and asked them to look through it and tell me how many photographs were inside. On average, the unlucky people took about two minutes to count the photographs, whereas the lucky people took just seconds.
Why? Because the second page of the newspaper contained the message: "Stop counting. There are 43 photographs in this newspaper." This message took up half of the page and was written in type that was more than 2in high. It was staring everyone straight in the face, but the unlucky people tended to miss it and the lucky people tended to spot it.
For fun, I placed a second large message halfway through the newspaper: "Stop counting. Tell the experimenter you have seen this and win £250." Again, the unlucky people missed the opportunity because they were still too busy looking for photographs."
Dr. Wiseman, via his research findings, proposed that lucky people actually created their own luck because they lived their lives based on four principles: "they are skilled at creating and noticing chance opportunities, make lucky decisions by listening to their intuition, create self-fulfilling prophesies via positive expectations, and adopt a resilient attitude that transforms bad luck into good."
Wiseman found that unlucky people miss chance opportunities because they are too focused on looking for something else.
Unlucky people are anxious, lucky people were relaxed. Sound too simple?
"Unlucky people go to parties intent on finding their perfect partner and so miss opportunities to make good friends. They look through newspapers determined to find certain types of job advertisements and as a result miss other types of jobs. Lucky people are more relaxed and open, and therefore see what is there rather than just what they are looking for."
Simply stated lucky people are more relaxed, open, and remain curious about the current situation at hand rather than become anxious and single focused and future oriented.
Sounds obvious. Could be life altering.
The good news is that they also discovered that in fact the "unlucky" people could learn the four principles of "lucky" people and improve their luck, their lives and their happiness by 80%!
"One unlucky subject said that after adjusting her attitude -- expecting good fortune, not dwelling on the negative -- her bad luck had vanished."
To read more about how walking out your front door and turning left instead of right changed everything, including how just being nice can get you far in life and in bed, and what to do when heartbreak doesn't kill you, go to the original post from Paris: exploredeeply.com/pickles-are-cucumbers
"Be Lucky, its an Easy Skill to Learn" Richard Wiseman
Richard Wiseman his book "The Luck Factor"
"The Secrets of the World's Luckiest People" Huffington Post
Chloë RainBe who you wanthappiness, happy soul
You know you're done, but you don't know what's next?! You are not alone.
Top 5 Regrets of the Dying


Flowery Branch is in Hall County, in the Gainesville metro area.
The latitude of Flowery Branch is 34.185N. The longitude is -83.925W.
It is in the Eastern Standard time zone. Elevation is 1,122 feet.
The estimated population, in 2003, was 1,958.
Sections below provide additional information and links about Flowery Branch demographics, travel and tourism, nearby airports, cemeteries, the Hall County economy, education, environment, genealogy, government, historic sites, libraries, maps, museums, newspapers and other media, nonprofit groups, real estate, recreation, religion, transportation, and weather in the 30542 ZIP code.
7% of Flowery Branch residents report German ancestry, and 13% report Irish. For more info on local ancestry groups, see the Flowery Branch ancestry & family history guide.
At the time of the 2000 census, the per capita income in Flowery Branch was $16,970, compared with $21,587 nationally.
6% of Flowery Branch residents age 25 and older have a bachelor's or advanced college degree.
Median rent in Flowery Branch, at the time of the 2000 Census, was $480. Monthly homeowner costs, for people with mortgages, were $898.
Hall County supported George W. Bush in the 2004 presidential election. For more information, see our Flowery Branch political report.
The average commute time for Flowery Branch workers is 30 minutes, compared with 26 minutes nationwide.


In the 21st century, tacos have emerged as the bellwether food for an entire generation. Minnesota has jumped up and landed squarely on the taco bandwagon. Soft-shell, hard-shell, a la Mexicana, or in a tortilla, here are the best taco places in the North Star State.
There are a few Pineda locations in the Twin Cities, but the Plymouth location stands out because, with this this suburban outpost, they are the best tacos in the West Metro. Try the chipotle pork, or if you're not feeling like a taco, their tortas are also some of the best in the state.
Another fast-food spot with serious Mexican cred, El Taco Riendo is an unassuming joint in Northeast Minneapolis. With locally-sourced tortillas and house-made ingredients, their tacos are winners. Try the chicken tinga or chorizo for a little kick. For real, down-home flavors, they also offer lengua (tongue), chicharron, and tripe tacos.
With fish tacos that seem to make everybody's "best of" lists, it would be a crime to omit Duluth Grill from this list. The crispy whitefish, with cilantro lime tartar sauce, pico de gallo, pickled onion, and pickled jalapeño strikes just the right balance between the Scandinavian and Latino (I know, right?!) flavor palettes.
Featured on "Diners, Drive-Ins, and Dives" and winner of many local contests and awards, the jerk pork tacos at Smalley's are the stuff of legend. They make other dishes—barbecue, for instance, which is definitely worth a try as well—but these tacos are a can't-miss.
It's safe to say that when it comes to Mexican food, El Carambas is a beloved Rochester institution. Other entrants have come on the scene, and are well-liked, but El Carambas has a longevity and a consistent quality that means you go back time and again and get the same, delicious food. Try the shrimp tacos, which are made in a simple, Mexican style with nothing but cilantro and onions. You know if they're served like that, the shrimp has got to be good.
With a couple extra locations and a food truck now, Taqueria La Hacienda is moving up in the world. They are easily the best tacos South of the River. And it's no surprise: When a Mexico City native drives you from Golden Valley to Burnsville to get tacos, you know they're gonna be good. And they are—especially, the tacos al pastor.
A simple taqueria with a simple menu, Vero's relies on quality rather than quantity when it comes to their menu—and it's served them well. Even though they don't have a lot of non-fast food chain competition in the area, Vero's takes such pride in the quality of their food that it's comparable to pretty much any other taqueria in the state.
Picking a taco place in St. Paul is a tall order. Home to the original Mexican community in the Twin Cities, there are a lot of good tacos to be had. But here's the thing: Los Ocampo has a few locations and are universally beloved. So, their St. Paul restaurant wins a spot on the list to represent the capitol city. Their tacos are authentic and delicious, and they also serve up some of the state's best elote.
Las Teresitas is all about the salsa. They have the best salsa bar in the state. What they make to carry the salsa is not too shabby either. The proprietors formerly ran Taco Moreles, so knew what their were doing from the get go. Try their chorizo, which is some of the best available in the Metro.
This is another Metro spot that takes authenticity back home. With lengua and beef head options, topped with traditional cilantro, lime, and onion, Andale has become a South Metro destination for folks seeking the real deal. They use tilapia for their tasty fish tacos and their tinga is a force to be reckoned with.


A President of the United States would never operate outside the law, ignore the U.S. Constitution and the courts, shut down the presses, imprison his domestic adversaries or turn his guns on his own people. Well, Abraham Lincoln, the 16th president did of all of that and, curiously, has been turned into a national hero for his troubles. Lincoln ignored his closest advisors and the temper of the times to engage in the bloodiest war in American history, a war that could easily have been avoided. Single handedly Lincoln terrorized the entire nation. So let us take notice. What happened once could happen again.


text:
\section{Introduction}

Muon \emph{g}--2 and electric-dipole-moment (EDM) experiments in storage rings are of great importance for contemporary physics. The well-known discrepancy between theoretical and experimental values of the anomalous magnetic moment (AMM) of muon \cite{PRDfinal,gmtFermi} may be a window to new physics. New physics can result in a higher value of the muon EDM than that predicted by the Standard Model.

In such precise experiments it is important to fully account for all significant corrections affecting the measurement. This is the reason for conducting the present research which determines corrections for a constant radial magnetic field in high-precision \emph{g}--2 and EDM experiments with polarized muon beams in storage rings. Increasing of accuracy of the planned experiments as compared to the accomplished ones makes this research to be necessary.

We use the cylindrical coordinate system and the system of units $\hbar=1,~c=1$. We include $\hbar$ and
$c$ into some equations when this inclusion clarifies the problem.

\section{General equations of spin motion in the cylindrical and the Frenet-Serret coordinate systems}\label{CylFreSe}

In this section, we shortly report the results of comparison of the cylindrical and the Frenet-Serret coordinate systems obtained in Ref. \cite{JINRLettCylr}. While these coordinate systems are equivalent, the related equations of the spin motion differ. The axes of the Frenet-Serret coordinate system are motional and are defined relative to the particle velocity direction. In this system, the equation of spin motion defines a motion of the spin (pseudo)vector with
respect to the momentum vector, i.e., the change in a relative orientation of these vectors. The Frenet-Serret coordinate system is commonly used in accelerator theory. For a particle with electric and magnetic dipole moments, the classical equation of the spin motion is given by (see Refs. \cite{GBMT,PhysScr} and references therein)
\begin{eqnarray}
\bm\Omega^{(FS)}=-\frac{e}{m}\left[a\bm B-\frac{a\gamma}{\gamma+1}\bm\beta(\bm\beta\cdot\bm B)+\left(\frac{1}{\gamma^2-1}-a\right)\left(\bm\beta\times\bm
E\right)\right.\nonumber\\
+\left.\frac{\eta}{2}\left({\bm E}-\frac{\gamma}{\gamma+1}\bm\beta(\bm\beta\cdot\bm E)+{\bm\beta}\times {\bm B}\right)\right],
\label{Nelsonh}\end{eqnarray} where $a=(g-2)/2, ~\bm\beta=\bm v/c, ~g=2mc\mu/(e\hbar s), ~\eta=2mcd/(e\hbar s)$. Here $s$ is the spin quantum number and the $\eta$ factor for the EDM $d$ is similar to the $g$ one for the magnetic dipole moment.

When the cylindrical coordinate system is used, the spin motion equation is defined allowing for a motion of the horizontal axes of the cylindrical coordinate system which follows the azimuthal motion of a given particle. The vertical axes of the cylindrical and the Cartesian coordinate systems always coincide. The angular velocities of the spin motion in these coordinate systems differ on $\dot{\phi}\bm e_z$, where $\dot{\phi}$ is the angular velocity of a change of the particle azimuth in the storage ring \cite{RPJSTAB}. As a result, the spin motion equation in the cylindrical coordinate system takes the form \cite{JINRLettCylr,RPJSTAB}
\begin{eqnarray}
\bm\Omega^{(cyl)}=-\frac{e}{m}\left\{a\bm B-
\frac{a\gamma}{\gamma+1}\bm\beta(\bm\beta\cdot\bm B)\right.\nonumber\\
+\left(\frac{1}{\gamma^2-1}-a\right)\left(\bm\beta\times\bm
E\right)+\frac{1}{\gamma}\left[\bm B_\|
-\frac{1}{\beta^2}\left(\bm\beta\times\bm
E\right)_\|\right]\nonumber\\ \left.+ \frac{\eta}{2}\left(\bm
E-\frac{\gamma}{\gamma+1}\bm\beta(\bm\beta\cdot\bm
E)+\bm\beta\times\bm B\right)\right\}.
\label{eq7}\end{eqnarray} The sign $\|$ indicates the horizontal
projection for any vector.
This equation describes the spin motion relative to immobile detectors placed around the storage ring. Equation (\ref{eq7}), contrary to Eq. (\ref{Nelsonh}), does not depend on a vertical motion of the beam.
The compactness of Eq. (\ref{Nelsonh}) relies on the fact that the Frenet-Serret coordinate axes move relative to the immobile detectors. As a result, Eq. (\ref{Nelsonh}) needs to be used with care. In particular, this equation may create the illusion that, on condition that $\bm\beta\cdot\bm B=0$, the impact of vertical and radial fields on the spin is identical.
For leptons (electron, muon) the difference between $\bm\Omega^{(FS)}$ and $\bm\Omega^{(cyl)}$ can be rather significant. To determine an \emph{observable} effect, the motion of the tangential and normal axes
of the Frenet-Serret coordinate system should be added to the spin motion in
this coordinate system. Once this factor is taken
into account, the cylindrical and the Frenet-Serret coordinate systems give an equivalent description of the spin motion \cite{JINRLettCylr}.

The additional term in Eq. (\ref{eq7}) which is proportional to $1/\gamma$ can increase the importance of the horizontal components of $\bm B$ and $\bm\beta\times\bm E$ as compared to Eq. (\ref{Nelsonh}). In particular, the spin quantization axis (also called the stable spin axis) in a purely magnetic storage ring does not coincide with the direction of the total magnetic field. In relation to the longitudinal magnetic field, this property has been considered in Ref. \cite{JETPazm}.

It should be added that the quantum-mechanical description of the spin motion for spin-1/2 \cite{RPJ} and spin-1 \cite{PRDspin} particles fully agrees with the classical description.

\section{Manifestations of the constant radial magnetic field in muon $\bm g$--2 and electric-dipole-moment experiments}\label{Manifestations}

The correction for the constant radial magnetic field is nonzero in both the \emph{g}--2 and electric-dipole-moment experiments with polarized muons in storage rings. However, the importance of the systematic effects caused by this field significantly differs in the two cases.
For a calculation of this correction, it is convenient to use Eq. (\ref{eq7}). Since the \emph{average} Lorentz force acting on a particle is zero, the average values of the vertical electric field and the radial magnetic one satisfy the condition
\begin{eqnarray}
E_z=-(\bm\beta\times\bm B)_z.
\label{eqLf}\end{eqnarray} When electric focusing is used, the angular velocity of the spin precession is given by
\begin{eqnarray}
\bm\Omega^{(cyl)}=-\frac{e}{m}\left\{aB_z\bm e_z+\frac{g}{2\gamma^2}B_\rho\bm e_\rho
+ \frac{\eta}{2}\left(\bm\beta\times\bm B\right)_\|\right\}.
\label{eqcel}\end{eqnarray}

It is well-known that the fields satisfying Eq. (\ref{eqLf}) turn the spin. The vertical electric field conditions one of main systematic errors in EDM experiments in storage rings carried out by the frozen spin method \cite{FJM}. The condition (\ref{eqLf}) is satisfied for Wien filters with static \cite{TA} and oscillating \cite{rfWienFilter,rfWienFilterNIMA,PhysRevSTAB2017} fields which are frequently used as spin rotators. In particular, the expression for the radial component of $\bm\Omega$ (halved owing the field oscillations) is presented in Ref. \cite{rfWienFilter}.

In the muon \emph{g}--2 and EDM experiments described in Refs. \cite{PRDfinal,MuEDM08}, $\gamma^2=1+a^{-1}$ and $g/(2\gamma^2)=a$. As a result, Eq. (\ref{eqcel}) takes the form
\begin{eqnarray}
\bm\Omega^{(cyl)}=-\frac{e}{m}\left\{a(B_z\bm e_z+B_\rho\bm e_\rho)
+ \frac{\eta}{2}\left(\bm\beta\times\bm B\right)_\|\right\}.
\label{eqfin}\end{eqnarray}

The angular velocity of the spin rotation caused by the magnetic moment is collinear to the vector of the total magnetic field $\bm B$. However, the vertical and radial components of $\bm B$ enter Eq. (\ref{eqcel}) with different factors and the spin motion defined by Eq. (\ref{eqfin}) is influenced not only by the radial magnetic field but also by the vertical electric one.

Equation (\ref{eqfin}) can be presented as follows:
\begin{eqnarray}
\bm\Omega^{(cyl)}=\omega_0\bm e_z+O\bm e_\rho, \qquad \omega_0=-\frac{e}{m}aB_z,
\qquad O=\omega_0\left(\frac{B_\rho}{B_z}
+ \frac{\eta\beta}{2a}\right),
\label{eqfes}\end{eqnarray} where the quantities $\omega_0, \,O$, and $\beta$ ($\bm\beta=\beta\bm e_\phi$) can be positive and negative.

Evidently, the constant radial magnetic field conditions the following correction to the \emph{g}--2 frequency:
\begin{eqnarray}
\Delta\omega=-\omega_0\frac{B_\rho^2}{2B_z^2}.
\label{eqgmt}\end{eqnarray}

In the \emph{g}--2 experiments \cite{PRDfinal,gmtFermi}, this correction can be neglected. Measurements of the constant radial magnetic field in the BNL muon \emph{g}--2 experiment have shown that $|B_\rho|\approx 2.9\times10^{-5}$T. Since $B_z= 1.45$T,
$|B_\rho/B_z|\approx 2\times10^{-5}$ \cite{BNLrmfm}. In this case, the correction to the \emph{g}--2 frequency is of the order of $10^{-10}$ and can be neglected.

However, the constant radial magnetic field can be more important for the muon EDM experiments. The search for the muon EDM has been performed in the framework of the past BNL experiment \cite{BNLrmfm}. The initial beam polarization was longitudinal and the vertical spin component
was detected. This experiment has established the upper bound on the muon EDM, $|d_\mu|< 1.8 \times10^{-19}~e\cdot$cm  \cite{MuEDM08}.

In the considered case, squares of small parameters can be neglected. The spin evolution is defined by the general equation (15) in Ref. \cite{EPJC2017} which takes the form
\begin{equation}
\begin{array}{c}
P_\rho(t)=\cos{(\omega_0 t+\psi)},\qquad
P_\phi(t)=\sin{(\omega_0 t+\psi)},\qquad
P_z(t)=-\frac{O}{\omega_0}\cos{(\omega_0 t+\psi)},
\end{array}\label{polvmof} \end{equation}
where $\psi$ is equal to $\pi/2$ and $-\pi/2$ for counterclockwise and clockwise muon beams, respectively, and $\bm P$ is the polarization vector.
In this case, a nonzero vertical component of the polarization vector is conditioned by the terms \emph{linear} in $B_\rho/B_z$ and $\eta$. The related correction to the \emph{g}--2 frequency is \emph{quadratic or bilinear} in $B_\rho/B_z$ and $\eta$.

Equations (\ref{eqfes}) and (\ref{polvmof}) demonstrate that the constant radial magnetic field can mimic an EDM. The constant radial magnetic field measured in Ref. \cite{BNLrmfm} corresponds to the muon EDM of $2\times10^{-21}~e\cdot$cm. This value is small as compared with the current bound on the muon EDM established in Ref. \cite{MuEDM08}. However, the sensitivity to the muon EDM will be increased by two orders of magnitude in the future experiment at Fermilab \cite{FermilabEDM}. In this case, the correction for the constant radial magnetic field needs to be considered. We can add that a muon EDM experiment based on the frozen spin method \cite{FJM} is sensitive to the muon EDM of the order of $10^{-24}~e\cdot$cm.

\section{Summary}\label{summary}

In the present paper, we have calculated the correction for the constant radial magnetic field in the \emph{g}--2 and electric-dipole-moment experiments with muons in storage rings.
While the correction can be neglected in the \emph{g}--2 experiments \cite{PRDfinal,gmtFermi}, it is important for the forthcoming muon EDM experiment at Fermilab.

The planned \emph{g}--2/EDM experiment at J-PARC will be fulfilled in a purely magnetic ring \cite{JPARC,JPARCOtani}. In this case, the average constant radial magnetic field is equal to zero and the correction for this field vanishes.

\section*{Acknowledgements}

The author is grateful to N. Nikolaev for useful
comments and discussions. The author acknowledges the support by the Belarusian Republican Foundation for Fundamental Research
(Grant No. $\Phi$16D-004) and
by the Heisenberg-Landau program of the German Ministry for
Science and Technology (Bundesministerium f\"{u}r Bildung und
Forschung).

redpajama_set_name: RedPajamaArXiv


text:
package isse.mbr.model.parsetree;

import java.util.ArrayList;
import java.util.Collection;

import isse.mbr.model.voting.VotingProcedure;

public class VotingInstance extends AbstractPVSInstance {
	protected Collection<AbstractPVSInstance> votingPvs;
	protected VotingProcedure votingProcedure;

	public VotingInstance() {
		votingPvs = new ArrayList<>();
	}

	public void addPvs(AbstractPVSInstance pvs) {
		votingPvs.add(pvs);
	}

	public VotingProcedure getVotingProcedure() {
		return votingProcedure;
	}

	public void setVotingProcedure(VotingProcedure votingProcedure) {
		this.votingProcedure = votingProcedure;
	}

	@Override
	public boolean isComplex() {
		return true;
	}

	@Override
	public Collection<AbstractPVSInstance> getChildren() {
		return votingPvs;
	}

	public void addAllPvs(ArrayList<AbstractPVSInstance> votingPvs2) {
		this.votingPvs.addAll(votingPvs2);
	}
}

redpajama_set_name: RedPajamaGithub


Anyone who knows me, knows that I am not the kind of person who takes a passive approach to life. I'm someone who creates a vision, sets goals, and focuses on pressing toward them. I believe in sitting in the driver's seat of life. I believe in never taking "no" from someone who doesn't have the power to tell you "yes". I am one of those people who will keep pressing on and on and, oftentimes, continue holding on during times I know I just need to quit. I don't mean quitting on my goals, but knowing when a situation has changed enough and perhaps leading me toward another path.
Letting go, is one of the kriyas that I have long struggled with. I'm sure there are many of you, like me, who feel the need to control everything in your life. In fact, many of us try to manage the outcomes of our lives so much that we actually get in the way and sabotage the good that is flowing toward us. Sometimes, our peripheral vision has more to show us if we just take our blinders off. It opens us up to a bigger picture and opportunities that lie in the background.
So, yes we need to continue to set goals or resolutions in the new year, but remember we always have the choice to re-evaluate and determine what is working for us. When we know we've reached a dead-end, it's best to back up and take a U-turn. And an even better strategy other times? Let go, take the passenger seat, and allow a greater force to guide us toward another destination. I continue to learn this.
This entry was posted in Let Go and tagged believe in spirit, going with the flow, kriya, let go by Wellness Kriya. Bookmark the permalink.


text:
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