Universal Relation for the Neutron Star Maximum Mass within Relativistic Mean-Field Theories

Fuente: arXiv
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Autori principali: Nam, Gihwan, Lim, Yeunhwan, Holt, Jeremy W.
Natura: Preprint
Pubblicazione: 2025
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author Nam, Gihwan
Lim, Yeunhwan
Holt, Jeremy W.
author_facet Nam, Gihwan
Lim, Yeunhwan
Holt, Jeremy W.
contents We obtain a universal relation for the neutron star maximum mass arising from a particular combination of the saturation density ($n_0$), the effective mass ($m^*$), and (when present) the vector meson self-coupling constant ($ζ$) within the relativistic mean-field model framework. Observations of massive neutron stars heavier than $\sim 2M_{\odot}$ have eliminated the softest equation of state from consideration and impose strong constraints on nuclear interactions used to model dense nuclear matter. To date there have been numerous attempts to refine relativistic mean-field models by including the presence of additional mesons, such as the delta meson, and couplings. We show that current RMF models, including our own constructions, exhibit a maximum neutron star mass that is primarily determined by the combination of the saturation density, the effective mass at saturation, and the vector meson self-coupling constant. When constraining the pure neutron matter equation of state using chiral effective field theory (ChEFT) at low densities, 250 parameter sets were generated to derive an empirical formula for the maximum mass of neutron stars and apply the formula with the present relativistic mean field models.
format Preprint
id arxiv_https___arxiv_org_abs_2510_15356
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Universal Relation for the Neutron Star Maximum Mass within Relativistic Mean-Field Theories
Nam, Gihwan
Lim, Yeunhwan
Holt, Jeremy W.
Nuclear Theory
We obtain a universal relation for the neutron star maximum mass arising from a particular combination of the saturation density ($n_0$), the effective mass ($m^*$), and (when present) the vector meson self-coupling constant ($ζ$) within the relativistic mean-field model framework. Observations of massive neutron stars heavier than $\sim 2M_{\odot}$ have eliminated the softest equation of state from consideration and impose strong constraints on nuclear interactions used to model dense nuclear matter. To date there have been numerous attempts to refine relativistic mean-field models by including the presence of additional mesons, such as the delta meson, and couplings. We show that current RMF models, including our own constructions, exhibit a maximum neutron star mass that is primarily determined by the combination of the saturation density, the effective mass at saturation, and the vector meson self-coupling constant. When constraining the pure neutron matter equation of state using chiral effective field theory (ChEFT) at low densities, 250 parameter sets were generated to derive an empirical formula for the maximum mass of neutron stars and apply the formula with the present relativistic mean field models.
title Universal Relation for the Neutron Star Maximum Mass within Relativistic Mean-Field Theories
topic Nuclear Theory
url https://arxiv.org/abs/2510.15356