Regular Article - Theoretical Physics
Semi-empirical relation to understand matter properties at neutron star interiors
Indian Institute of Science Education and Research Bhopal, Bhopal, India
2 Polba Mahavidyalaya, 712148, Hooghly, West Bengal, India
Accepted: 24 May 2022
Published online: 6 June 2022
The occurrence of quark matter at the center of neutron stars is still in debate. This study defines some semi-empirical parameters that try to quantify the presence and the amount of quark matter at star interiors. We find that one needs unusually accurate measurement to qualitatively deduce the occurrence of quark core at the center of stars by studying the compactness of a fast rotating star as a function of angular momentum. Nevertheless one can deduce the quark content of a static 1.4 solar mass star and extend it for a rotating star. The quark fractions in a star depend on the stiffness of the equation of state and the critical density for phase transition. As the phase transition from the neutron star to a hybrid star happens, the star shrinks, releasing significant energy. A massive neutron star usually collapses into a black hole if the phase transition happens at constant baryonic mass. Given a hadronic EoS, we have shown how one can have a critical mass of the neutron star and the corresponding maximum mass of the hybrid star for a given equation of state.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3