2010/05/27 by Arvind Kumar, Amruta Mishra · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.81.065204
published as Phys.Rev.C81:065204,2010 · 61 pages, 19 figues, to be published in Phys. Rev. C
arxiv created 2010/05/27 · openalex publication_date 2010/06/08 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the in-medium masses of D and \mathrmD\ifmmode \else \=\fi mesons in the isospin-asymmetric nuclear matter at finite temperatures arising due to the interactions with the nucleons, the scalar-isoscalar meson \ensuremathσ, and the scalar-isovector meson \ensuremathδ within a SU(4) model. However, since the chiral symmetry is explicitly broken for the SU(4) case due to the large charm quark mass, we use the SU(4) symmetry here only to obtain the interactions of the D and \mathrmD\ifmmode \else \=\fi mesons with the light hadron sector but use the observed values of the heavy hadron masses and empirical values of the decay constants. The in-medium masses of J/\ensuremathψ and the excited charmonium states [\ensuremathψ(3686) and \ensuremathψ(3770)] are also calculated in the hot isospin-asymmetric nuclear matter in the present investigation. These mass modifications arise due to the interaction of the charmonium states with the gluon condensates of QCD, simulated by a scalar dilaton field introduced to incorporate the broken scale invariance of QCD within the effective chiral model. The change in the mass of J/\ensuremathψ in the nuclear matter with the density is seen to be rather small, as has been shown in the literature by using various approaches, whereas the masses of the excited states of charmonium [\ensuremathψ(3686) and \ensuremathψ(3770)] are seen to have considerable drop at high densities. The present study of the in-medium masses of D (\mathrmD\ifmmode \else \=\fi) mesons as well as of the charmonium states will be of relevance for the observables from the compressed baryonic matter, like the production and collective flow of the D (\mathrmD\ifmmode \else \=\fi) mesons, resulting from the asymmetric heavy-ion collision experiments planned at the future facility of the GSI Facility for Antiproton and Ion Research. The mass modifications of D and \mathrmD\ifmmode \else \=\fi mesons as well as of the charmonium states in hot nuclear medium can modify the decay of the charmonium states (\ensuremathΨ^\ensuremath',\ensuremathχc,J/\ensuremathΨ) to D\mathrmD\ifmmode \else \=\fi pairs in the hot dense hadronic matter. The small attractive potentials observed for the \mathrmD\ifmmode \else \=\fi mesons may lead to formation of the \mathrmD\ifmmode \else \=\fi mesic nuclei.