What is the radial density distribution of a neutron star?

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Discussion Overview

The discussion centers on the radial density distribution of neutron stars, exploring theoretical models and comparisons with normal stars. Participants inquire about specific equations and the nature of density variations from the core to the shell of neutron stars and regular stars.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant asks for a simple-model equation for the radial density of a neutron star, suggesting that it may involve balancing gravitational potential with strong interactions.
  • Another participant proposes a density distribution for a regular star as p = p_o *(1-(r/R)^2), indicating it may be appropriate for a gas ball.
  • Some participants speculate that the density of a neutron star could be constant due to degeneracy pressure, potentially leading to maximum density levels.
  • Observational data is mentioned, indicating a significant density range in neutron stars, from around 1×10^9 kg/m³ in the crust to up to 8×10^17 kg/m³ deeper inside.
  • There is a suggestion that density pressure could be "broken" at the core, leading to more complex models involving plasmas.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the radial density distribution of neutron stars, with multiple competing views on whether the density is constant or varies significantly. The discussion remains unresolved regarding the specific models applicable to neutron stars.

Contextual Notes

Limitations include the dependence on definitions of density and the complexities introduced by different physical conditions in neutron stars compared to regular stars. The discussion does not resolve the mathematical steps or assumptions underlying the proposed models.

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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