What is the radial density distribution of a neutron star?

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The discussion focuses on the radial density distribution of neutron stars, questioning whether a simple model exists to describe it from core to shell. Participants explore potential density distributions, suggesting that while normal stars may follow a model like p = p_o *(1-(r/R)^2), neutron stars might exhibit a constant density due to degeneracy pressure. Observational data indicates a significant density gradient in neutron stars, ranging from 1×10^9 kg/m³ in the crust to 8×10^17 kg/m³ deeper within. The conversation also touches on the possibility of density pressure being "broken" at the core, leading to more complex models involving plasmas. Overall, the thread highlights the complexities of modeling neutron star density compared to regular stars.
K.J.Healey
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Is there a simple-model equation for the radial density of a neutron star, from core to shell? I assume there have been models of fermionic gases, anyone have something onhand
Is it a specific distribution? Linear? 1/r^2?
I know its just a balancing of gravitational potential with strong interaction in the simplest of cases, which would lead to what? Nuclear density orders, with some radial distribution from core to shell?

On a similar note, what about for any normal star, such as our sun? (Not interested in numbers but mass distributions)

Thanks!
 
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Just found for a regular star, something like:

p = p_o *(1-(r/R)^2)

that sound right?
 
That looks right for a regular star - as a ball of gas.
I don't know for a neutron star - it may be constant! If the neutrons are supported by degeneracy pressure then that might be the maximum density they can get.
 
but observational data says that a neutron star's density is around 1×10^9 kg/m³ in the crust and up to 8×10^17 kg/m³ deeper inside.

thats quite a jump in orders of magnitude


(http://www.astro.umd.edu/~miller/nstar.html)

But density pressure can be "broken" right? Creating plasmas (Q/G) at the core? I know that s for a much more difficult model if I start including every aspect. I was just asking to see if anyone here had any insight.
 
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