Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model

Details Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model

2008-11-20

arxiv.org/abs/0811.3361v1

Phys.Rev.C79:035807,2009

Physics

Nuclear Physics

Nuclear Theory

13 pages, 9 figures

Scientific paper

10.1103/PhysRevC.79.035807

In the present work we use the large-$N_c$ approximation to investigate quark matter described by the SU(2) Nambu--Jona-Lasinio model subject to a strong magnetic field. The Landau levels are filled in such a way that usual kinks appear in the effective mass and other related quantities. $\beta$-equilibrium is also considered and the macroscopic properties of a magnetar described by this quark matter is obtained. Our study shows that the magnetar masses and radii are larger if the magnetic field increases but only very large fields ($\ge 10^{18}$ G) affect the EoS in a non negligible way.

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