Exact solution of equations for proton localization in neutron star matter
Sebastian Kubis, W{\l}odzimierz W\'ojcik
TL;DR
This paper provides an exact solution for proton localization in neutron star matter using an extended Thomas-Fermi approach, indicating localization is probable in neutron star interiors.
Contribution
It introduces a rigorous, exact solution method for proton localization in asymmetric nuclear matter within neutron stars, improving upon previous approximate models.
Findings
Proton localization likely occurs in neutron star interiors.
The extended Thomas-Fermi approach effectively models proton wave functions.
Localization depends on nuclear model parameters.
Abstract
The rigorous treatment of proton localization phenomenon in asymmetric nuclear matter is presented. The solution of proton wave function and neutron background distribution is found by the use of the extended Thomas-Fermi approach. The minimum of energy is obtained in the Wigner- Seitz approximation of spherically symmetric cell. The analysis of three different nuclear models suggests that the proton localization is likely to take place in the interior of neutron star.
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