Color neutral two-flavor superconducting phase of cold and dense quark matter in the presence of constant magnetic fields

2010/05/31 by Sh. Fayazbakhsh, N. Sadooghi · 1 citation
Physics and Astronomy · #Baryon #Color superconductivity #Condensed matter physics #High-Energy Particle Collisions Research #Magnetic field #Order (exchange) #Particle physics #Phase (matter) #Physics #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Strange matter #Superconductivity #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevd.82.045010

published as Phys.Rev.D82:045010,2010 · 33 pages, 9 Figures, 5 Tables; V2: Version accepted for publication in PRD

arxiv created 2010/07/13 · openalex publication_date 2010/08/09 · arxiv updated 2011/08/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The color neutral two-flavor superconducting phase of cold and dense quark matter is studied in the presence of constant magnetic fields and at moderate baryon densities. In the first part of the paper, a two-flavor effective Nambu--Jona-Lasinio model consisting of a chiral symmetry breaking (\ensuremathχSB) mass gap \ensuremathσ_B, a color superconducting (CSC) mass gap \ensuremathΔ_B and a color chemical potential \ensuremathμ₈ is introduced in the presence of a rotated U(1) magnetic field \stackrel\texttildelowB. To study the phenomenon of magnetic catalysis in the presence of strong magnetic fields, the gap equations corresponding to \ensuremathσ_B and \ensuremathΔ_B, as well as \ensuremathμ₈ are solved in the lowest Landau level approximation. In the second part of the paper, a detailed numerical analysis is performed to explore the effect of any arbitrary magnetic field on the above mass gaps and the color chemical potential. The structure of the \ensuremathχSB and CSC phases is also presented in the \ensuremathμ_c\mathrm\text\ensuremath-\stackrel\texttildeloweB plane, and the effect of \ensuremathμ₈ on the phase structure of the model is explored. As it turns out, whereas the transition from the \ensuremathχSB to CSC phase is of first order, nonvanishing \ensuremathμ₈ affects essentially the second order phase transition from CSC to the normal phase.

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