Finite volume and magnetic field effects on the two-pion correlation function in relativistic heavy-ion collisions

Abstract

We study the combined effects of a finite volume and an external magnetic field on the charged two-pion correlation function. For these purposes, we consider a dilute system of pions where the finite volume effects are introduced computing the pion wave functions with rigid boundary conditions in a cylindrical geometry in the presence of a uniform and constant magnetic field. We find that for slow pions, namely, for the case where the average pair momentum is small, the correlation function shows a large distortion, as opposed to the case where the average pair momentum is large. For a finite density system, the intercept of the correlation function is reduced, signaling the increasing importance of the pion ground state contribution. An increasing strength of the magnetic field reduces the importance of the ground state and the intercept becomes closer to 2.

arXiv comment7 pages, 10 figures. Version accepted to appear in PRD

References in corpus (25)

• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Estimate of the magnetic field strength in heavy-ion collisions
• Comments About the Electromagnetic Field in Heavy-Ion Collisions
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• QCD at small non-zero quark chemical potentials
• Thermal Pions at Finite Isospin Chemical Potential
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
• Some remarks on pion condensation in relativistic heavy ion collisions
• 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
• Thermal pion masses in the second phase: $|{\mu }_I|>m_{\pi }$
• Pion condensation in the early Universe at nonvanishing lepton flavor asymmetry and its gravitational wave signatures
• Multipion Bose-Einstein correlations in pp, p-Pb, and Pb-Pb collisions at the LHC
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Intriguing aspects of meson condensation
• Pion condensation of quark matter in the static Einstein universe
• Two-flavor condensates in chiral dynamics: temperature and isospin density effects
• Multiboson effects in multiparticle production
• Magnetic catalysis of a charged Bose-Einstein condensate
• Magnetic catalysis of a finite size pion condensate
• Density and Boundary Effects on Pion Distributions in Relativistic Heavy--Ion Collisions
• Dual condensates at finite isospin chemical potential
• Harmonic Oscillator in a 1D or 2D Cavity with General Perfectly Reflecting Walls
• Boundary and expansion effects on two-pion correlation functions in relativistic heavy-ion collisions