What is the radial density distribution of a neutron star?

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SUMMARY

The discussion focuses on the radial density distribution of neutron stars, exploring models of fermionic gases and gravitational potential balancing with strong interactions. A proposed equation for normal stars is presented as p = p_o *(1-(r/R)^2), which accurately describes mass distributions in stars like the Sun. For neutron stars, densities range from approximately 1×10^9 kg/m³ in the crust to 8×10^17 kg/m³ deeper within, indicating a significant increase in density. The conversation also touches on the implications of degeneracy pressure and the potential for plasma formation at the core.

PREREQUISITES
  • Understanding of neutron star physics
  • Familiarity with equations of state for fermionic gases
  • Knowledge of gravitational potential and strong interactions
  • Basic concepts of stellar structure and mass distribution
NEXT STEPS
  • Research the equation of state for neutron stars
  • Explore models of degeneracy pressure in astrophysics
  • Study the implications of plasma formation in neutron star cores
  • Investigate the radial density distribution of other stellar types
USEFUL FOR

Astronomers, astrophysicists, and students studying stellar evolution and neutron star characteristics will benefit from this discussion.

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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