title: Magnetic Shift of the Chemical Freeze-out and Electric Charge Fluctuations.
abstract: We discuss the effect of a strong magnetic field on the chemical freeze-out points in ultrarelativistic heavy-ion collisions. As a result of inverse magnetic catalysis or magnetic inhibition, the crossover onset to hot and dense matter out of quarks and gluons should be shifted to a lower temperature. To quantify this shift we employ the hadron resonance gas model and an empirical condition for the chemical freeze-out. We point out that the charged particle abundances are significantly affected by the magnetic field so that the electric charge fluctuation is largely enhanced, especially at high baryon density. The charge conservation partially cancels the enhancement, but our calculation shows that the electric charge fluctuation could serve as a magnetometer. We find that the fluctuation exhibits a crossover behavior rapidly increased for eB≳(0.4  GeV)^{2}, while the charge chemical potential has smoother behavior with an increasing magnetic field.
authors.affiliation: Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.
authors.forename: Kenji
authors.initials: K
authors.lastname: Fukushima
authors.affiliation: Theoretical Research Division, Nishina Center, RIKEN, Wako 351-0198, Japan.
authors.forename: Yoshimasa
authors.initials: Y
authors.lastname: Hidaka