Investigation of the existence of hybrid stars using Nambu-Jona-Lasinio models

Details Investigation of the existence of hybrid stars using Nambu-Jona-Lasinio models Investigation of the existence of hybrid stars using Nambu-Jona-Lasinio models

2010-01-11

arxiv.org/abs/1001.1661v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, 2 figures; prepared for IV International Workshop on Astronomy and Relativistic Astrophysics (IWARA 2009), Maresias,

Scientific paper

We investigate the hadron-quark phase transition inside neutron stars and obtain mass-radius relations for hybrid stars. The equation of state for the quark phase using the standard NJL model is too soft leading to an unstable star and suggesting a modification of the NJL model by introducing a momentum cutoff dependent on the chemical potential. However, even in this approach, the instability remains. In order to remedy the instability we suggest the introduction of a vector coupling in the NJL model, which makes the EoS stiffer, reducing the instability. We conclude that the possible existence of quark matter inside the stars require high densities, leading to very compact stars.

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