Poster abstract

Mass and radius of hybrid stars using Nambu-Jona-Lasinio model
Coelho, J. G., Lenzi, C. H., Malheiro, M., Providencia, C. and Fiolhais, M.

Abstract

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.