Properties of heavy mesons at finite temperature

Abstract

We study the properties of heavy mesons using a unitarized approach in a hot pionic medium, based on an effective hadronic theory. The interaction between the heavy mesons and pseudoscalar Goldstone bosons is described by a chiral Lagrangian at next-to-leading order in the chiral expansion and leading order in the heavy-quark mass expansion so as to satisfy heavy-quark spin symmetry. The meson-meson scattering problem in coupled channels with finite-temperature corrections is solved in a self-consistent manner. Our results show that the masses of the ground-state charmed mesons $D(0^{-})$ and $D_s(1^{-})$ decrease in a pionic environment at $T\ne 0$ and they acquire a substantial width. As a consequence, the behaviour of excited mesonic states (i.e. $D_{s0}^{\ast }(2317{)}^{\pm }$ and $D_0^{\ast }(2300{)}^{0,\pm }$), generated dynamically in our heavy-light molecular model, is also modified at $T\ne 0$. The aim is to test our results against Lattice QCD calculations in the future.

10 pages, 4 figures, 1 table, contribution to the proceedings for the 24th edition of European Few Body Conference, July 2-6 September 2019, Surrey, UK (Submission to SciPost)