  In this study, we investigate the potential of heavy quarkonia within a
magnetized hot QGP medium having finite momentum anisotropy. The phenomenon of
inverse magnetic catalysis is introduced into the system, influencing the
magnetic field-modified Debye mass and thereby altering the effective quark
masses. Concurrently, the impact of momentum anisotropy in the medium is
considered that influence the particle distribution in the medium. The thermal
decay width and dissociation temperature of quarkonium states, specifically the
1S and 2S states of charmonium and bottomonium, are computed. Our results
reveal that both momentum anisotropy and the inverse magnetic catalysis effects
play a significant role in modifying the thermal decay width and dissociation
temperature of these heavy quarkonia states.
