# Effect of nuclear saturation parameters on possible maximum mass of neutron stars

## TL;DR

This paper investigates how nuclear saturation parameters influence the maximum mass of neutron stars by modeling their equations of state and deriving an empirical formula, potentially constraining high-density physics.

## Contribution

It introduces a systematic approach connecting low-density nuclear parameters to high-density neutron star maximum mass, deriving an empirical formula for the maximum mass.

## Key findings

- Empirical formula for neutron star maximum mass derived.
- Constraints on high-density sound velocity suggested by observations.
- Systematic connection between nuclear parameters and neutron star properties.

## Abstract

In order to systematically examine the possible maximum mass of neutron stars, which is one of the important properties characterizing the physics in high-density region, I construct neutron star models by adopting phenomenological equations of state with various values of nuclear saturation parameters for low-density region, which are connected to the equation of state for high-density region characterized by the possible maximum sound velocity in medium. I derive an empirical formula for the possible maximum mass of neutron star. If massive neutron stars are observed, it could be possible to get a constraint on the possible maximum sound velocity for high-density region.