Abstract

Various heavy quarkonium states can be employed as a testing ground for the magnetic field created and later possibly persisted in heavy ion collision (HIC) experiments. In this paper, we have shown the modification in the binding energies, and ionization potentials categorically for different species of quarkonia in the medium in the presence of a magnetic field. For the study, we have considered quarkonium states which are well described by the real-valued effective potential in the thermal medium which is evolving by respecting the hydrodynamical power law. Furthermore while addressing the issue of their survival, we have not ignored the possibility of transitions between various bound-to-bound and bound-to-unbound states for different charmonium and bottomonium states. Our analysis shows that this phenomenon can be considered as a benchmark for understanding the presence, strength and persistence of the magnetic field which is expected to be produced through the high-energy nucleus–nucleus collisions.

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