Fourth order correlation of baryon number and electric charge as a better magnetometer of QCD

Abstract

This work focuses on the fourth order correlations χBQ31, χQB31, χBQ22, χBS31, χSB31, χBS22, χQS31, χSQ31, χQS22, χBQS211, χQBS211, χSBQ211 of baryon number B, electric charge Q and strangeness S at finite temperature, magnetic field and vanishing quark chemical potential. The study is carried out in the framework of a three-flavor PNJL model, considering both cases with and without inverse magnetic catalysis effect. We find that, fourth order correlations χBQ31 at chiral restoration phase transition is more sensitive to the magnetic field than other second order and fourth order correlations and fluctuations, and can be served as a more effective magnetometer of QCD.

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