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arXiv · 1510.02756

BEC-BCS crossover in a cold and magnetized two color NJL model

Dyana C. Duarte·P. G. Allen·R. L. S. Farias·Patrícia H. A. Manso·Rudnei O. Ramos·N. N. Scoccola
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Abstract

The BEC-BCS crossover for a NJL model with diquark interactions is studied in the presence of an external magnetic field. Particular attention is paid to different regularization schemes used in the literature. A thorough comparison of results is performed for the case of a cold and magnetized two-color NJL model. According to our results, the critical chemical potential for the BEC transition exhibits a clear inverse magnetic catalysis effect for magnetic fields in the range $ 1 \lesssim eB/m_\pi^2 \lesssim 20 $. As for the BEC-BCS crossover, the corresponding critical chemical potential is very weakly sensitive to magnetic fields up to $eB \sim 9\ m_\pi^2$, showing a much smaller inverse magnetic catalysis as compared to the BEC transition, and displays a strong magnetic catalysis from this point on.

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Dyana C. Duarte, P. G. Allen, R. L. S. Farias, Patrícia H. A. Manso, Rudnei O. Ramos, N. N. Scoccola. 2015-10-08. BEC-BCS crossover in a cold and magnetized two color NJL model. https://doi.org/10.1103/physrevd.93.025017

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