Heavy quarkonia in a non-extensive medium

We study the non-extensive effects on the properties of heavy quarkonia in a quark-gluon plasma. For that purpose, we revisit the gluon self-energy and resummed gluon propagator in the presence of non-extensivity using the hard-thermal-loop resummation in real-time formalism. We find that the non-extensivity of medium results in distinct shifts on the Debye masses in the retarded/advanced and symmetric gluon self-energies. Based on the non-extensive modified resummed gluon propagator, we compute the dielectric permittivity of the medium, thereby deriving the in-medium heavy quark potential. We observe that the real part of the potential gets more screened as the non-extensive parameter q ( q≥ 1 q ≥ 1 ) increases, reducing the binding energies of heavy quarkonia. Meanwhile, the non-extensivity of the medium enhances the magnitude of the imaginary part of the potential, causing a broadening in the decay widths of heavy quarkonia. Based on these observations, we further study the sensitivity of the melting temperatures of heavy quarkonia to non-extensive effects. Our results indicate that the non-extensivity of the medium can lower the melting temperature of heavy quarkonia, facilitating the dissociation of heavy quarkonia.