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

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

D. P. Menezes, M. Benghi Pinto, S. S. Avancini, A. Pérez Martínez, and C. Providência

Phys. Rev. C 79, 035807 – Published 27 March 2009

Abstract

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. $β$ 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 ( $⩾ 10^{18}$ G) affect the equation of state in a non-negligible way.

Received 20 November 2008

DOI:https://doi.org/10.1103/PhysRevC.79.035807

Authors & Affiliations

D. P. Menezes¹, M. Benghi Pinto¹, S. S. Avancini¹, A. Pérez Martínez², and C. Providência³

¹Departamento de Física, CFM, Universidade Federal de Santa Catarina Florianópolis SC, CP. 476, CEP 88.040-900, Brazil
²Instituto de Cibernética Matemática y Física (ICIMAF) Calle E esq 15, No. 309, Vedado, Havana 10400, Cuba
³Centro de Física Computacional, Department of Physics, University of Coimbra, P-3004-516 Coimbra, Portugal

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Issue

Vol. 79, Iss. 3 — March 2009

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Physical Review C

covering nuclear physics