Statistical Thermodynamics within Hadron resonance gas (HRG) model including magnetic field at the CBM Experiment

Abstract

In this paper, statistical thermodynamic quantities such as pressure density (P/T 4 ), energy density (ε/T 4), and trace anomaly (ε − 3P)/T 4 , are calculated using the HRG model in the presence of finite magnetic field eB effect. The mentioned thermodynamics have been calculated at both vanishing and finite 170, 340, and 425 baryon chemical potential μb where the values of eB are taken to be 1, 1.2, and 1.5. The obtained results are compared with the recent lattice QCD data over temperatures ranging from 130 MeV to 200 MeV at the mentioned values of eB. For balance temperatures up to the chiral phase transition’s vicinity temperature ' 160 MeV, a decent fitting between the model and the lattice data is observed for different values of eB and μ b especially at (μ b , eB) = (1.2, 170), (1.2, 340), and (1.2, 425), where eB is expressed in GeV2 and μb in MeV. For μ b = 0 and 170 MeV, the ideal HRG model seems to offer the best fit. The effect of magnetic field seems to be more applicable at non-vanishing chemical potentials, especially within the range μb ε [170, 340] MeV. Further investigation shall be made for a better description of the lattice QCD data.