Neutron Stars with Bose-Einstein Condensation of Antikaons as MIT Bags

• Published in: arXiv.org
• Main Authors: Ryu, C Y, Hyun, C H, Hong, S W
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 29.04.2010
• Subjects: Condensation; Couplings; Leptons; Neutron stars; Neutrons; Physics - Nuclear Theory; Quarks
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1004.5198

We investigate the properties of an antikaon in medium, regarding itas a MIT bag. We first construct the MIT bag model for a kaon with\(\sigma^*\) and \(\phi\) in order to describe the interaction of\(s\)-quarks in hyperonic matter in the framework of the modifiedquark-meson coupling model. The coupling constant \(g'^{B_K}_\sigma\)in the density-dependent bag constant \(B(\sigma)\) is treated as afree parameter to reproduce the optical potential of a kaon in asymmetric matter and all other couplings are determined by usingSU(6) symmetry and the quark counting rule. With various values ofthe kaon potential, we calculate the effective mass of a kaon inmedium to compare it with that of a point-like kaon. We thencalculate the population of octet baryons, leptons and \(K^-\) and theequation of state for neutron star matter. The results show thatkaon condensation in hyperonic matter is sensitive to the \(s\)-quarkinteraction and also to the way of treating the kaon. The mass andthe radius of a neutron star are obtained by solving theTolmann-Oppenheimer-Volkoff equation.