Nuclear Theory Group Seminar

D-meson in a cold nuclear matter:
a self-consistent coupled channels approach

Tetsuro Mizutani

Virginia Tech

A set of two-body scattering equations is solved for the coupled DM system in a cold isospin symmetric nuclear matter. The spectral function for the charmed D;(D⁺,D^o) meson in nuclear medium is obtained from the self-consistent solution within this scheme, in order to investigate the in-medium behavior of this meson.

The key ingredient in the present study is the effective meson-baryon Lagrangian obtained from the effective unitary chiral SU(3) approach to meson-baryon interaction, extended to broken SU(4) to incorporate the charm degree of freedom by means of extended vector meson dominance. Furthermore, we have incorporated a phenomenological scalar-isoscalar interaction in the DM channel motivated e.g. by studies in kaon condensation in nuclear matter. This modified scheme is worked out in free space to fix a small number of parameters to reproduce the principal properties of the C=+1, I=0, s-wave Λ_c (2593) resonance as a hadronic molecular state of the D meson and nucleon. In the isospin one channel this generates an s-wave resonance at about 2770 MeV. The corresponding in-medium solution is sought by incorporating effects such as Pauli blocking on the nucleons and the self-energy (or the dressing) of the π and D mesons self-consistently. The effect of the isospin zero Λ_c (2593) is explicit while the effect of the isospin one resonance found is broadened considerably. The resulting behavior of the D meson produced in nuclear medium as well as its implication to the J/Ψ suppression are discussed.