Dmesons in nuclear matter: ADNcoupled-channel equations approach

Abstract

A set of coupled two-body scattering equations is solved for the DN system embedded in an isosymmetric nuclear matter. The in-medium behavior of charmed D mesons, (D + , D 0 ), is investigated from the self-consistent solution within this scheme. The effective meson-baryon Lagrangian in charm quantum number one sector, the key ingredient in the present study, is adopted from a recent model by Hofmann and Lutz that has aimed at combining the charmed meson degree of freedom in a consistent manner with chiral unitary models. After a critical examination, the original model is modified in several important aspects, such as the method of regularization, to be more consistent and practical for our objective. The resultant interaction is used to reproduce the position and width of the s-wave c (2593) resonance in the isospin zero DN channel. In the isospin one channel, it generates a rather wide resonance at ∼2770 MeV. The corresponding in-medium solution is then sought by incorporating Pauli blocking and the D-and π -meson dressing self-consistently. At normal nuclear matter density, the resultant c (2593) is found to stay narrow and shifted at a lower energy, whereas the I = 1 resonance is lowered in position as well and broadened considerably.

Combining heavy quark spin and local hidden gauge symmetries in the dynamical generation of hidden charm baryons

“…A different approach is done in [35], where one uses the analogy of the work of theKN interaction and replaces a s-quark by the c-quark. As mentioned in [36], while the potentials obtained are fine with this prescription, in the coupled channel approach one is missing channels that mix charm and strangeness in that approach. In [36,37] the work of [31] is retaken and appropriate modifications are done in the potentials and the regularization scheme.…”

Strong couplings and form factors of charmed mesons in holographic QCD

“…The results in Eqs. (19), (20) and (21) define the holographic prescription for expectation values of the 4-d vector, axial and pion current operators. Note from Eqs.…”

“…For example, almost all knowledge on the DN interaction comes from calculations based on effective Lagrangians that are extensions of light-flavor chiral Lagrangians using SU (4) flavor symmetry [19][20][21][22][23][24][25] and heavy quark symmetry [6,26]. The Lagrangians involve coupling constants, like g ρDD , g ωDD , g ρD * D and g ρD * D * , whose values * aballonb@ift.unesp.br † gkrein@ift.unesp.br ‡ miller@ift.unesp.br are taken from SU (4) flavor and heavy-quark symmetry relations.…”

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].…”