Exploring the parameter space of quasi-particle model with the strange quark stars

TL;DR

This paper investigates the properties of strange quark stars using a quasi-particle model, analyzing parameter space constraints from astronomical observations and theoretical requirements, concluding small compact stars are unlikely to be strange quark stars.

Contribution

It introduces a comprehensive analysis of the quasi-particle model's parameter space considering multiple constraints, highlighting limitations in current models for small compact stars.

Findings

Both observational and theoretical constraints cannot reliably restrict the model's parameter space.

Small compact stars are unlikely to be strange quark stars based on the analysis.

The quasi-particle model's parameter space remains largely unconstrained by current data.

Abstract

The properties of strange quark stars are studied within the quasi-particle model. Taking into account the chemical equilibrium and charge neutrality, the EOS of $ (2+1) $-flavor quark matter is obtained. We illustrate the parameter spaces with constraints from two aspects: the one is based on the astronomical results of PSR J$ 0740+6620 $ and GW$ 170817 $, and another is based on the constraints proposed from the theoretical study of compact star that the EOS must ensure the tidal deformability $ \varLambda_{1.4}=190^{+390}_{-120} $ and support a maximum mass above $ 1.97~M_{\odot} $. It is found that the both types of constraints can not restrict the parameter space of quasi-particle model in a reliable region and thus we conclude that the small compact star cannot be strange quark star.