Properties ofDmesons in nuclear matter within a self-consistent coupled-channel approach

Abstract

The spectral density of the D-meson in the nuclear environment is studied within a self-consistent coupled-channel approach assuming a separable potential for the bare meson-baryon interaction. The DN interaction, described through a G-matrix, generates dynamically the Λ c (2593) resonance. This resonance is the charm counterpart of the Λ (1405) resonance generated from the s-waveKN interaction in the I=0 channel. The medium modification of the D-meson spectral density due to the Pauli blocking of intermediate states as well as due to the dressing of the D-mesons, nucleons and pions is investigated. We observe that the inclusion of coupled-channel effects and the self-consistent dressing of the D-meson results in an overall reduction of the in-medium D-meson changes compared to previous work which neglect those effects.

Dmesons in nuclear matter: ADNcoupled-channel equations approach

“…For this objective our subsequent discussion will be heavily inclined to review the approaches employed in the physics ofK in nuclear matter because the methods listed above for the D meson have been extensively used for the former. This is due to the apparent similarity between theK and D [6] as discussed later in the section.…”

“…Note that this type of coupling is absent in Ref. [6], where particles with strangeness are excluded. In both isospin channels the corresponding strengths are comparable to the DN diagonal interaction.…”

“…First, a coupled-channels calculation for the D mesons in cold nuclear matter was done [6], motivated by the similarity between the DN andKN systems once the s quark in the later is replaced by a c quark. This is further reinforced by an apparent correspondence between the two I = 0, s-wave resonances: (1405) and c (2593), in the coupledKN and DN channels, respectively.…”

“…[1][2][3][4][5][6][7]. The primary theoretical effort in this regard has been to understand how the mass of the D meson gets modified in nuclear matter: either normal or hot and/or dense.…”

Effect of in-medium spectral density of D and mesons on the dissociation in hadronic matter

“…In this connection the inelastic reaction rates of J/ψ in the hadronic phase have been studied using different effective hadronic models [21,22,23]. In addition, several theoretical efforts [24,25,26,27,28,29,30,31,32,33,34,35,36,37] have been made in order to understand the in-medium behavior of charmed mesons using different hadronic models e.g. QCD sum rules [25,26,27], Quark-Meson Coupling (QMC) [28], Nambu-Jona-Lasinio (NJL) model [29,30].…”