arXiv:0811.3361·v1·Nuclear Theory
Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
D.P.Menezes (1) · M. Benghi Pinto (1) · S.S. Avancini (1) · A. Perez Martinez (2) · C. Providencia (3) ((1) Depto de Fisica - CFM - Universidade Federal de Santa Catarina Florianopolis, Brazil; (2) Departamento de Fisica Teorica, Instituto de Cibernetica Matematica y Fisica (ICIMAF), Havana, Cuba; (3) Centro de Fisica Computacional - Department of Physics - University of Coimbra, Coimbra, Portugal)
Abstract
In the present work we use the large- 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. -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 ( G) affect the EoS in a non negligible way.
Comments: 13 pages, 9 figures