Constraints on nuclear matter parameters of an Effective Chiral Model

TL;DR

This paper constrains nuclear matter parameters within an effective non-linear chiral model, linking key properties like incompressibility and effective mass, and explores their implications for the nuclear equation of state and phenomenological constraints.

Contribution

It introduces a minimal-parameter chiral model to evaluate nuclear matter parameters and investigates their interrelations and effects on the nuclear equation of state.

Findings

Identifies correlations between nuclear incompressibility, effective mass, and meson masses.

Provides a best-fit parameter set consistent with saturation properties.

Discusses constraints from heavy-ion collisions and phenomenological models.

Abstract

Within an effective non-linear chiral model, we evaluate nuclear matter parameters exploiting the uncertainties in the nuclear saturation properties. The model is sternly constrained with minimal free parameters, which display the interlink between nuclear incompressibility ($K$), the nucleon effective mass ($m^{\star}$), the pion decay constant ($f_{\pi}$) and the $\sigma-$meson mass ($m_{\sigma}$). The best fit among the various parameter set is then extracted and employed to study the resulting Equation of state (EOS). Further, we also discuss the consequences of imposing constraints on nuclear EOS from Heavy-Ion collision and other phenomenological model predictions.