Spin dependent Fermi Liquid parameters and properties of polarized quark matter

TL;DR

This paper computes spin-dependent Fermi liquid parameters and properties of polarized quark matter, revealing a stiffer equation of state and exploring the potential for ferromagnetic phase transition.

Contribution

It introduces calculations of spin-dependent Fermi liquid parameters and analyzes their impact on the properties and phase transitions of polarized quark matter.

Findings

Polarized quark matter has a stiffer equation of state than unpolarized matter.

Derived expressions for incompressibility and sound velocity in terms of FLPs and polarization.

Explored the possibility of a ferromagnetic phase transition in polarized quark matter.

Abstract

We calculate the spin dependent Fermi liquid parameters (FLPs), single particle energies and energy densities of various spin states of polarized quark matter. The expressions for the incompressibility($K$) and sound velocity ($c_1$) in terms of the spin dependent FLPs and polarization parameter $(\xi)$ are derived. Estimated values of $K$ and $c_1$ reveal that the equation of state (EOS) of the polarized matter is stiffer than the unpolarized one. Finally we investigate the possibility of the spin polarization (ferromagnetism) phase transition.