<p>One problem is if you split a NS into too small pieces, the gravity of each piece becomes weaker, and with the pressure reduced, it may no longer be highly degenerate.  The minimum neutron star mass is roughly 0.1 M$_\odot$ but this is for a totally cold NS, as described in <a href="https://physics.stackexchange.com/questions/143166/what-is-the-theoretical-lower-mass-limit-for-a-gravitationally-stable-neutron-st">this physics stackexchange answer</a>. The neutrons will then decay into protons and electrons in 886 seconds and you get new entirely hydrogen stars.  Perhaps, at the high end of NS mass range it can be split into two NS, but one needs to do the calculation. </p>

<p>Another problem is that a NS is not a solid in the interior, so the concept of cleaving simply does not apply. The very center is gas-like and the outer core is liquid-like.  So, you can't very well cut it with a knife no matter how sharp; just as you cannot cleave a star.  So, while a high energy relativistic beam could cut through the solid crust, the rest of NS would heal instantly.</p>

<p>Another problem is that NS is the densest material we know of, therefore to do any damage to it one would need a more dense NS (ie a more massive one).  But, if one tries to smash it or press it with a NS, the two will merge into a more massive NS which might then collapse into a black hole if the mass threshold is reached.  There might be a few chunks of debris that get away, but again these would instantly become hydrogen gas.</p>

<p>So, I conclude that the answer to this question is that it cannot be done with anything known today. </p>

<p>There is a simple way to totally undo a NS though.  The process of creating a NS is a reversible process. That is, if you simply heat a NS sufficiently, it becomes non-degenerate.  Eventually the neutrons decay and it becomes a hydrogen star. </p>

CC BY-SA 3.0
2015-05-24T23:46:00.213Z
Don't Neutron stars shed heat very efficiently?    Heating a Neutron Star enough to have it expand into a normal star might require an absolutely insane amount of energy.   It would be curious to know what would happen if a Neutron Star was hit by a jet from a near by black hole.   If it would gain sufficient heat to perhaps expand.   Way beyond my pay grade to try to calculate.
userLTK
CC BY-SA 3.0
2015-05-26T15:41:24.507Z
But, a neutron star is small enough that we could build an oven around it to hold in the heat.  Still it does require a lot of energy as you say.  Although, I don't know what material we could use.
eshaya
CC BY-SA 3.0
2017-02-04T21:44:35.070Z
It takes very little energy to change the temperature of a neutron star, since its heat capacity is tiny. That is why they cool so rapidly. Increasing the temperature would not cause the neutron star to break up.
ProfRob
CC BY-SA 3.0
2017-06-30T22:50:50.870Z
If you heated a neutron star to the point that the mean thermal velocity were greater than the escape velocity, why would it not evaporate?  But, at some lower temperature, the degenerate material would phase change into a non-degenerate gas and you would have a star again, reborn and 100% hydrogen.  I agree that  this is not broken apart and so does not answer the question.
eshaya
CC BY-SA 3.0
2014-10-31T15:14:40.517Z
2014-11-07T19:18:17.693Z
2017-04-13T12:40:15.377Z
eshaya
<p>On the basis of the recent detection of GW170817 and a host of other observational evidence, it seems that a neutron star merger is one way to get mass out from a neutron star - maybe some tenths of a solar mass.</p>

<p>There is also evidence that the ejected material from the collision is neutron-rich, at least initially, and then produces neutron-rich nuclei through the r-process.</p>

<p>It is impossible to have small lumps of stable neutron star matter. A high density is required to prevent the neutrons decaying (see <a href="https://physics.stackexchange.com/questions/143166/what-is-the-theoretical-lower-mass-limit-for-a-gravitationally-stable-neutron-st">https://physics.stackexchange.com/questions/143166/what-is-the-theoretical-lower-mass-limit-for-a-gravitationally-stable-neutron-st</a> ) The (theoretical) minimum mass for a stable neutron star is of order 0.1-0.2 solar masses, though none have been seen in nature.</p>

CC BY-SA 3.0
2017-10-17T23:47:00.227Z
2017-10-17T23:47:00.227Z
ProfRob
<p>The outer edge of a neutron star contains very tightly packed neutrons, protons and electrons.   I'd try shooting the Neutron star with positrons to collide with the electrons creating heat and growing positive charge.   The combination of heat and positive charge and localized matter-anti-matter explosion (just might) gradually shed some mass, a few protons here and there, reaching escape velocity.   It would take a long time, but it just might work.    </p>

<p>But remember to stand back when the star gets sufficiently lighter and reaches the critical inverse of the Tolman–Oppenheimer–Volkoff limit when it could and probably will rapidly de-Neutron and rapidly expand.      I think this might be the best way to do it (though I also like the spin it very rapidly answer).  </p>

CC BY-SA 3.0
2017-02-03T23:50:57.833Z
Incorrect in the sense that free neutrons *do not* exist near the surface of a neutron star.
ProfRob
CC BY-SA 3.0
2017-02-04T05:33:08.647Z
I didn't actually say "free", kind of an iron and other stuff composite, super dense.   Probably  a very thin atmosphere which maybe the positrons, traveling very fast, could penetrate.   Positron hits a Neutron and it becomes a proton - maybe it flies free, positron hits an electron you get heat.
userLTK
CC BY-SA 3.0
2017-05-07T00:52:09.443Z
Why is this being voted down?   I think the positron approach is one of the more practical suggestions to this perhaps impossible undertaking.    Maybe a combination of positrons and get the Neutron star spinning.  If it's given a charge, getting it spinning should be easier, especially if the charge is localized.
userLTK
CC BY-SA 3.0
2017-02-03T22:25:56.613Z
2017-02-03T22:25:56.613Z
userLTK
<p>It would appear theoretically possible (to some degree) through extreme applications of recycling to trigger mass shedding in pulsars.</p>

<p>Pulsars are rapidly spinning neutron stars, the fastest class of which are millisecond pulsars. The current belief is that they build up rotational speed through accretion, a process known as <strong>recycling</strong>. One study, <a href="http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1994ApJ...423L.117C&amp;data_type=PDF_HIGH&amp;whole_paper=YES&amp;type=PRINTER&amp;filetype=.pdf" rel="nofollow noreferrer">Recycling Pulsars to Millisecond Periods in General Relativity</a> (Cook, et al), explores the limitations of this process.</p>

<p>The following chart shows their results:</p>

<blockquote>
  <p><img src="https://i.sstatic.net/EUr4Q.png" alt="Plot of gravitational mass to central energy density"></p>
</blockquote>

<p>At the point where the dotted lines meet the two plots, you can see a reduction in mass at those energy levels. This is due to the angular velocity of the body creating instability which results in <strong>mass shedding</strong> - essentially mass at the equator of our neutron star being flung off the star due to the body's angular velocity.</p>

<p>Unfortunately, this is not exactly an easy process.</p>

<blockquote>
  <p>The timescale to accrete the required rest mass, ~0.1 <em>M</em><sub>☉</sub>, at the Eddington limit, ~10<sup>-8</sup> <em>M</em><sub>☉</sub>yr<sup>-1</sup>, is ~10<sup>7</sup> yr. This timescale is largely insensitive to the adopted nuclear equation of state. If other astrophysical considerations require a considerably shorter time scale, then the simple recycling scenario described here will have to be modified beyond the variations explored in this paper.</p>
</blockquote>

<p><em>(Note however that the research here is actually attempting to avoid such instabilities, and they accomplish this by adding even more mass, such that the body can support even greater rotational velocity without encounter instability. Additionally, they're trying to create millisecond pulsars, but we don't need to do this as they exist naturally, so we could save ourselves a lot of time by (very carefully) approaching an existing millisecond pulsar</em>)</p>

<p>I don't think this would exactly be <em>breaking apart</em> (despite <a href="http://en.wikipedia.org/wiki/Millisecond_pulsar" rel="nofollow noreferrer">Wikipedia's</a> use of that exact verbiage to describe it), but it allows for the return of mass that was at one point in a neutron star.  Of course, chances are our theoretical neutron star miners are very likely to be the ones who put that mass on the neutron star to begin with. On the other hand, this (hopefully) accomplishes the task without reducing the object to a quark star or black hole.</p>

<blockquote>
  <p>Cook, G. B.; Shapiro, S. L.; Teukolsky, S. A. (1994). "Recycling Pulsars to Millisecond Periods in General Relativity". Astrophysical Journal Letters 423: 117–120.</p>
</blockquote>

CC BY-SA 3.0
2014-10-28T22:13:58.903Z
Nice answer, +1. I hope you don't mind if I wait for a bit instead of accepting this right away - there could still be others. But it's great, nonetheless.
HDE 226868
CC BY-SA 3.0
2014-10-28T14:28:37.430Z
2017-10-17T20:46:34.857Z
2017-10-17T20:46:34.857Z
Mitch Goshorn
<p>I was inspired by <a href="https://physics.stackexchange.com/questions/143166/what-is-the-theoretical-lower-mass-limit-for-a-gravitationally-stable-neutron-st">this question</a> on Physics, as well as <a href="https://astronomy.stackexchange.com/questions/2533/can-we-theoretically-spin-the-black-hole-so-strong-that-it-will-be-broken-apar">this question</a> right here on Astronomy. Neutron stars are tightly bound together as neutron degenerate matter. They're very massive and have a strong gravitational field. Is it possible to break one apart into sizable chunks? How would you do this?</p>

<hr>

<p>The answers given are good and answer my question; I'll just clarify some one thing (based on the comments) for posterity.</p>

<p>I would define "broken" as when any significant amount of mass is removed from the neutron star, as in mass shedding, as <a href="https://astronomy.stackexchange.com/questions/7778/is-it-possible-to-break-apart-a-neutron-star/7802#7802">Mitch Goshorn wrote</a>. The resulting object, however, should contain a significant amount of neutron matter - that is, it should largely retain its prior composition.</p>

CC BY-SA 3.0
2017-02-03T23:07:02.527Z
It you have a large enough piece of anti-matter moving at relativistic speed, you might get a big enough bang to break up the NS. But getting enough anti-matter and getting it going fast enough could really take some doing.
zeta-band
CC BY-SA 3.0
2014-10-27T02:07:48.860Z
Perhaps accreting matter until TOV limit is reached?
Py-ser
CC BY-SA 3.0
2014-10-27T09:11:07.707Z
Depends on what you mean by break apart. You could do as Py says and accrete until it collapses into a black hole. This will release radiation at least. Also binary neutron stars could undergo a merger, and this is expected to eject a lot of heavy metals and radiation. The surface is also regular matter, so with a lot of energy you could conceivably just break chunks of the surface off. Probably not sizable ones, though.
zibadawa timmy
CC BY-SA 3.0
2014-10-28T04:43:24.057Z
I'm curious as to what result would qualify as well. Should the result be two or more distinct chunks of neutron degenerate matter? Matter at more standard levels of compression, or perhaps greater compression? Or is the goal to break it apart such that it might fulfill some other purpose (practical use as exotic matter)?
Mitch Goshorn
CC BY-SA 3.0
2014-10-28T15:02:49.370Z
If you let two black holes that are heavy enough pass close enough, the tidal forces should be able to rip apart anything that happens to be just between them. Even ignoring the difficulties of moving black holes around, I'm not sure how many orders of magnitude into the realm of impossibility I am, though.
John Dvorak
<neutron-star>
Is it possible to break apart a neutron star?
HDE 226868
# Is it possible to break apart a neutron star?

(Asked by: username_0 on 2014-10-26)

I was inspired by [this question](https://physics.stackexchange.com/questions/143166/what-is-the-theoretical-lower-mass-limit-for-a-gravitationally-stable-neutron-st) on Physics, as well as [this question](https://astronomy.stackexchange.com/questions/2533/can-we-theoretically-spin-the-black-hole-so-strong-that-it-will-be-broken-apar) right here on Astronomy. Neutron stars are tightly bound together as neutron degenerate matter. They're very massive and have a strong gravitational field. Is it possible to break one apart into sizable chunks? How would you do this?

---

The answers given are good and answer my question; I'll just clarify some one thing (based on the comments) for posterity.

I would define "broken" as when any significant amount of mass is removed from the neutron star, as in mass shedding, as [Mitch Goshorn wrote](https://astronomy.stackexchange.com/questions/7778/is-it-possible-to-break-apart-a-neutron-star/7802#7802). The resulting object, however, should contain a significant amount of neutron matter - that is, it should largely retain its prior composition.

**Tags:** neutron-star
> **Comments:**
> **username_2**: Perhaps accreting matter until TOV limit is reached?  
> **username_3**: Depends on what you mean by break apart. You could do as Py says and accrete until it collapses into a black hole. This will release radiation at least. Also binary neutron stars could undergo a merger, and this is expected to eject a lot of heavy metals and radiation. The surface is also regular matter, so with a lot of energy you could conceivably just break chunks of the surface off. Probably not sizable ones, though.  
> **username_4**: I'm curious as to what result would qualify as well. Should the result be two or more distinct chunks of neutron degenerate matter? Matter at more standard levels of compression, or perhaps greater compression? Or is the goal to break it apart such that it might fulfill some other purpose (practical use as exotic matter)?  
> **username_5**: If you let two black holes that are heavy enough pass close enough, the tidal forces should be able to rip apart anything that happens to be just between them. Even ignoring the difficulties of moving black holes around, I'm not sure how many orders of magnitude into the realm of impossibility I am, though.  
> **username_1**: It you have a large enough piece of anti-matter moving at relativistic speed, you might get a big enough bang to break up the NS. But getting enough anti-matter and getting it going fast enough could really take some doing.  

---

## 4 answers

### Answer by username_4 on 2014-10-28. Score: 14 | Accepted answer

It would appear theoretically possible (to some degree) through extreme applications of recycling to trigger mass shedding in pulsars.

Pulsars are rapidly spinning neutron stars, the fastest class of which are millisecond pulsars. The current belief is that they build up rotational speed through accretion, a process known as **recycling**. One study, [Recycling Pulsars to Millisecond Periods in General Relativity](http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1994ApJ...423L.117C&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf) (Cook, et al), explores the limitations of this process.

The following chart shows their results:

> ![Plot of gravitational mass to central energy density](https://i.sstatic.net/EUr4Q.png)

At the point where the dotted lines meet the two plots, you can see a reduction in mass at those energy levels. This is due to the angular velocity of the body creating instability which results in **mass shedding** - essentially mass at the equator of our neutron star being flung off the star due to the body's angular velocity.

Unfortunately, this is not exactly an easy process.

> The timescale to accrete the required rest mass, ~0.1 *M*☉, at the Eddington limit, ~10-8 *M*☉yr-1, is ~107 yr. This timescale is largely insensitive to the adopted nuclear equation of state. If other astrophysical considerations require a considerably shorter time scale, then the simple recycling scenario described here will have to be modified beyond the variations explored in this paper.

*(Note however that the research here is actually attempting to avoid such instabilities, and they accomplish this by adding even more mass, such that the body can support even greater rotational velocity without encounter instability. Additionally, they're trying to create millisecond pulsars, but we don't need to do this as they exist naturally, so we could save ourselves a lot of time by (very carefully) approaching an existing millisecond pulsar*)

I don't think this would exactly be *breaking apart* (despite [Wikipedia's](http://en.wikipedia.org/wiki/Millisecond_pulsar) use of that exact verbiage to describe it), but it allows for the return of mass that was at one point in a neutron star. Of course, chances are our theoretical neutron star miners are very likely to be the ones who put that mass on the neutron star to begin with. On the other hand, this (hopefully) accomplishes the task without reducing the object to a quark star or black hole.

> Cook, G. B.; Shapiro, S. L.; Teukolsky, S. A. (1994). "Recycling Pulsars to Millisecond Periods in General Relativity". Astrophysical Journal Letters 423: 117–120.

> **Comments:**
> **username_0**: Nice answer, +1. I hope you don't mind if I wait for a bit instead of accepting this right away - there could still be others. But it's great, nonetheless.  

---

### Answer by username_6 on 2014-10-31. Score: 8

One problem is if you split a NS into too small pieces, the gravity of each piece becomes weaker, and with the pressure reduced, it may no longer be highly degenerate. The minimum neutron star mass is roughly 0.1 M$\_\odot$ but this is for a totally cold NS, as described in [this physics stackexchange answer](https://physics.stackexchange.com/questions/143166/what-is-the-theoretical-lower-mass-limit-for-a-gravitationally-stable-neutron-st). The neutrons will then decay into protons and electrons in 886 seconds and you get new entirely hydrogen stars. Perhaps, at the high end of NS mass range it can be split into two NS, but one needs to do the calculation.

Another problem is that a NS is not a solid in the interior, so the concept of cleaving simply does not apply. The very center is gas-like and the outer core is liquid-like. So, you can't very well cut it with a knife no matter how sharp; just as you cannot cleave a star. So, while a high energy relativistic beam could cut through the solid crust, the rest of NS would heal instantly.

Another problem is that NS is the densest material we know of, therefore to do any damage to it one would need a more dense NS (ie a more massive one). But, if one tries to smash it or press it with a NS, the two will merge into a more massive NS which might then collapse into a black hole if the mass threshold is reached. There might be a few chunks of debris that get away, but again these would instantly become hydrogen gas.

So, I conclude that the answer to this question is that it cannot be done with anything known today.

There is a simple way to totally undo a NS though. The process of creating a NS is a reversible process. That is, if you simply heat a NS sufficiently, it becomes non-degenerate. Eventually the neutrons decay and it becomes a hydrogen star.

> **Comments:**
> **username_7**: Don't Neutron stars shed heat very efficiently?    Heating a Neutron Star enough to have it expand into a normal star might require an absolutely insane amount of energy.   It would be curious to know what would happen if a Neutron Star was hit by a jet from a near by black hole.   If it would gain sufficient heat to perhaps expand.   Way beyond my pay grade to try to calculate.  
> **username_6**: But, a neutron star is small enough that we could build an oven around it to hold in the heat.  Still it does require a lot of energy as you say.  Although, I don't know what material we could use.  
> **username_8**: It takes very little energy to change the temperature of a neutron star, since its heat capacity is tiny. That is why they cool so rapidly. Increasing the temperature would not cause the neutron star to break up.  
> **username_6**: If you heated a neutron star to the point that the mean thermal velocity were greater than the escape velocity, why would it not evaporate?  But, at some lower temperature, the degenerate material would phase change into a non-degenerate gas and you would have a star again, reborn and 100% hydrogen.  I agree that  this is not broken apart and so does not answer the question.  

---

### Answer by username_8 on 2017-10-17. Score: 2

On the basis of the recent detection of GW170817 and a host of other observational evidence, it seems that a neutron star merger is one way to get mass out from a neutron star - maybe some tenths of a solar mass.

There is also evidence that the ejected material from the collision is neutron-rich, at least initially, and then produces neutron-rich nuclei through the r-process.

It is impossible to have small lumps of stable neutron star matter. A high density is required to prevent the neutrons decaying (see <https://physics.stackexchange.com/questions/143166/what-is-the-theoretical-lower-mass-limit-for-a-gravitationally-stable-neutron-st> ) The (theoretical) minimum mass for a stable neutron star is of order 0.1-0.2 solar masses, though none have been seen in nature.


---

### Answer by username_7 on 2017-02-03. Score: 1

The outer edge of a neutron star contains very tightly packed neutrons, protons and electrons. I'd try shooting the Neutron star with positrons to collide with the electrons creating heat and growing positive charge. The combination of heat and positive charge and localized matter-anti-matter explosion (just might) gradually shed some mass, a few protons here and there, reaching escape velocity. It would take a long time, but it just might work.

But remember to stand back when the star gets sufficiently lighter and reaches the critical inverse of the Tolman–Oppenheimer–Volkoff limit when it could and probably will rapidly de-Neutron and rapidly expand. I think this might be the best way to do it (though I also like the spin it very rapidly answer).

> **Comments:**
> **username_8**: Incorrect in the sense that free neutrons *do not* exist near the surface of a neutron star.  
> **username_7**: I didn't actually say "free", kind of an iron and other stuff composite, super dense.   Probably  a very thin atmosphere which maybe the positrons, traveling very fast, could penetrate.   Positron hits a Neutron and it becomes a proton - maybe it flies free, positron hits an electron you get heat.  
> **username_7**: Why is this being voted down?   I think the positron approach is one of the more practical suggestions to this perhaps impossible undertaking.    Maybe a combination of positrons and get the Neutron star spinning.  If it's given a charge, getting it spinning should be easier, especially if the charge is localized.  

---

