Instability of holographic cold compact stars with a color superconducting core
Abstract
We study a holographic model of quantum chromodynamics, which can describe a color superconductor and a dilute nucleon gas phase. The two phases are adjoined in the phase diagram at a critical value of the chemical potential. In other words, a first-order transition from the ordinary nucleon gas to the color superconductor is found by increasing the chemical potential. This model is suitable to investigate the possibility of a cold compact star with a color superconducting core. The equation of state of the star is given by the holographic model considered in this article, and we find that it is impossible in the present model to find a hybrid star of nuclear matter and the color superconductor core through the relation of mass and radius of the star by solving the Tolman-Oppenheimer-Volkoff equations. Several other interesting implications are given by using the equation of state.
Keywords
Cite
@article{arxiv.2303.06364,
title = {Instability of holographic cold compact stars with a color superconducting core},
author = {Kazuo Ghoroku and Kouji Kashiwa and Yoshimasa Nakano and Motoi Tachibana and Fumihiko Toyoda},
journal= {arXiv preprint arXiv:2303.06364},
year = {2023}
}
Comments
22 pages, 10 figures, version accepted for publication in PRD. Title changed following the referee's suggestion