D mesons and charmonium states in asymmetric nuclear matter at finite temperatures

May, 2010
61 pages
Published in:
  • Phys.Rev.C 81 (2010) 065204
e-Print:

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Abstract: (arXiv)
We investigate the in-medium masses of DD and Dˉ\bar{D} mesons in the isospin-asymmetric nuclear matter at finite temperatures arising due to the interactions with the nucleons, the scalar isoscalar meson σ\sigma, and the scalar iso-vector meson δ\delta within a SU(4) model. The in-medium masses of J/ψJ/\psi and the excited charmonium states (ψ(3686)\psi(3686) and ψ(3770)\psi(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/ψJ/\psi 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 (ψ(3686)\psi(3686) and ψ(3770)\psi(3770)) are seen to have considerable drop at high densities. The present study of the in-medium masses of DD (Dˉ\bar{D}) 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 DD (Dˉ\bar D) mesons, resulting from the asymmetric heavy ion collision experiments planned at the future facility of the FAIR, GSI. The mass modifications of DD and Dˉ\bar{D} mesons as well as of the charmonium states in hot nuclear medium can modify the decay of the charmonium states (Ψ,χc,J/Ψ\Psi^{'}, \chi_{c}, J/\Psi) to DDˉD\bar{D} pairs in the hot dense hadronic matter. The small attractive potentials observed for the Dˉ\bar{D} mesons may lead to formation of the Dˉ\bar{D} mesic nuclei.
Note:
  • 61 pages, 19 figues, to be published in Phys. Rev. C
  • 24.10.Cn
  • 13.75.Jz
  • 21.65.Cd
  • 25.75.-q
  • nuclear matter: asymmetry
  • charmonium: mass: calculated
  • charmonium: hadronic decay
  • isospin: asymmetry
  • dilaton: scalar
  • psi(3770)