Magnetic catalysis of a finite size pion condensate

Abstract

We study the Bose-Einstein condensation of a finite size pion gas subject to the influence of a magnetic field. We find the expressions for the critical chemical potential and temperature for the onset of condensation. We show that for values of the external magnetic flux larger than the elemental flux, the critical temperature is larger than the one obtained by considering only finite size effects. We use experimentally reported values of pion source sizes and multiplicities at LHC energies to show that if the magnetic flux, produced initially in peripheral heavy-ion collision, is at least partially preserved up to the hadronic phase, the combined finite size and magnetic field effects give rise to a critical temperature above the kinetic freeze-out temperature. We discuss the implications for the evolution of the pion system created in relativistic heavy-ion collisions.

8 pages, 3 figures, minor typos corrected, expanded discussion and one new reference added. Version to appear in Phys. Rev. C

References in corpus (11)

• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• A systematic study of magnetic field in Relativistic Heavy-ion Collisions in the RHIC and LHC energy regions
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
• Magnetic structure of isospin-asymmetric QCD matter in neutron stars
• Freeze-out radii extracted from three-pion cumulants in pp, p-Pb and Pb-Pb collisions at the LHC
• Bose-Einstein condensation of pions in heavy-ion collisions at the CERN Large Hadron Collider (LHC) energies
• Bose-Einstein Condensation in the Relativistic Pion Gas: Thermodynamic Limit and Finite Size Effects
• Bose-Einstein Condensation of Pions in High Multiplicity Events
• Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials
• Magnetic catalysis of a charged Bose-Einstein condensate
• One-loop omega-potential of charged massive particles in a constant homogeneous magnetic field at high temperatures

Cited by in corpus (10)

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• Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu--Jona-Lasinio model
• Rotation induced charged pion condensation in a strong magnetic field: A Nambu--Jona-Lasino model study
• Dilepton production from hot and magnetized hadronic matter
• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• Ellipticity of dilepton production from a hot and magnetized hadronic medium
• Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium
• Bose-Einstein Condensation and Dissipative Dynamics in a Relativistic Pion Gas
• Bose-Einstein condensation in heavy ion collisions: importance of and uncertainties in the finite volume corrections