Properties of heavy mesons at finite temperature

Gloria Montaña,Angels Ramos,Laura Tolós

doi:10.21468/scipostphysproc.3.038

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^-)D(0−) and D_s(1^-)Ds(1−) decrease in a pionic environment at T\neq 0T≠0 and they acquire a substantial width. As a consequence, the behaviour of excited mesonic states (D_{s0}^*(2317)^\pmDs0*(2317)± and D_0^*(2300)^{0,\pm}D0*(2300)0,±), generated dynamically in our heavy-light molecular model, is also modified at T\neq 0T≠0. The aim is to test our results against Lattice QCD calculations in the future.

Highlights

Relativistic heavy-ion collisions offer a unique scenario to study the production of heavy mesons and multiquark states in general in extreme conditions of temperature and density
We study here the heavy-light meson scattering in the sectors with charm, strangeness and isospin (C, S, I) = (1, 0, 1/2) and (1, 1, 0), where there are strong indications that the excited D0∗(2300)0,± and Ds∗0(2317)± are dynamically generated in molecular models
We take the lowenergy constants (LECs) of the next-to-leading order (NLO) Lagrangian from Fit-2B in Ref. [8], but not the subtraction constants of the unitarization procedure that they fit to lattice data, as we find that they might correspond to small and unrealistic values of the cutoff for certain channels, much smaller than the value of Λ = 800 MeV that we take

Summary

Introduction

Relativistic heavy-ion collisions offer a unique scenario to study the production of heavy mesons and multiquark states in general in extreme conditions of temperature and density. There is a need for a better theoretical understanding of the properties of heavy mesons at temperatures and densities far from the nuclear regime In this contribution, we focus on the study of the QCD phase diagram in the high-temperature and low-density regime, which corresponds to matter generated in heavy-ion collisions at the Relativistic-Heavy-Ion-Collider (RHIC) at BNL and at the Large-Hadron-Collider (LHC) at CERN. We focus on the study of the QCD phase diagram in the high-temperature and low-density regime, which corresponds to matter generated in heavy-ion collisions at the Relativistic-Heavy-Ion-Collider (RHIC) at BNL and at the Large-Hadron-Collider (LHC) at CERN For this reason we consider mesonic matter at finite temperature, which can be well-approximated to be mainly pionic at temperatures below the critical temperature for the transition from the deconfined QGP to the hadron gas, Tc. We present results of the modification of the properties of the D-mesons (D(∗)0, D(∗)+, Ds(∗)+) when interacting with the surrounding pions in such a hot environment. We study the Ds∗0(2317)± and the D0∗(2300)0,±, that are the lightest strange and non-strange excited mesons, respectively, and which have attracted much attention within the molecular models as their masses differ from the quark model expectations

Interaction of heavy mesons with light mesons

Finite temperature

Results

Conclusions and Outlook

A Loop functions