Abstract
We study the BEC-BCS crossover in the presence of an external magnetic field for a two color NJL model with diquark interactions, giving special attention to the regularization scheme. We found a inverse magnetic catalysis on the critical chemical potentials, both for BEC phase transition and the BEC-BCS crossover for small values of magnetic fields, and a magnetic catalysis for large [Formula: see text].
Highlights
There are many motivations to study the phase structure of quantum chromodynamics (QCD), related to investigations of the relativistic heavy ion collisions, compact stars and the early universe
We found a inverse magnetic catalysis on the critical chemical potentials, both for Bose-Einstein condensation (BEC) phase transition and the BEC-Bardeen-Cooper-Shriffer condensation (BCS) crossover for small values of magnetic fields, and a magnetic catalysis for large eB
In this work we study the BEC-BCS crossover for a NJL model with diquark interactions in the presence of an external magnetic field, giving particular attention to different regularization schemes used in the literature 4
Summary
There are many motivations to study the phase structure of quantum chromodynamics (QCD), related to investigations of the relativistic heavy ion collisions, compact stars and the early universe. Further motivated by the fact that strong magnetic fields may be produced in noncentral heavy-ion collisions, investigations of the effects produced by a magnetic field in the phase diagram of strongly interacting matter became a subject of great interest in recent years 2. It is generally expected that there should exist a crossover from Bose-Einstein condensation (BEC) to Bardeen-Cooper-Shriffer condensation (BCS) for diquarks at finite baryon density. This crossover can be observed in different ways, such as increasing the coupling constant of the attractive interactions or changing the charge number through the variation of the chemical potential 3.
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