Self-consistent coupled-channel approach to $D$ and $\bar{D}$ in hot dense matter

Abstract

A self-consistent coupled-channel approach is used to study the properties of $D$ and $\bar{D}$ mesons in hot dense matter. The starting point is a broken SU(4) s-wave Tomozawa-Weinberg $DN$ ($\bar{D}N$) interaction supplemented by an attractive isoscalar-scalar term. The Pauli blocking effects, baryon mean-field bindings, and $\ddot{I}€$ and open-charm meson self-energies are incorporated in dense matter at finite temperature. In the $DN$ sector, the dynamically generated $\tilde{\hat{I}}{›}_c$ and $\tilde{\hat{I}}{\pounds }_c$ resonances remain close to their free space position while acquiring a remarkable width because of the thermal smearing of Pauli blocking. Therefore, the $D$ meson spectral density shows a single pronounced quasiparticle peak close to the free mass, that broadens with increasing density, and a low energy tail associated to smeared $\tilde{\hat{I}}{›}_c{N}^{-1}$, $\tilde{\hat{I}}{\pounds }_c{N}^{-1}$ configurations. In the $\bar{D}N$ case, the low-density approximation to the repulsive $\bar{D}$ self-energy is found unreliable already at subsaturation densities. From this study we speculate the possible existence of $D$-mesic nuclei. We also discuss the consequences for $J/\hat{I}¨$ suppression at FAIR.

8 pages, 5 figures, to appear in the proceedings of XII International Conference on Hadron Spectroscopy (HADRON07), Frascati, Italy, 8-13 October 2007