Eur. Phys. J. A (2011) 47: 164
https://doi.org/10.1140/epja/i2011-11164-6

Regular Article - Theoretical Physics

D-mesons and charmonium states in hot isospin asymmetric strange hadronic matter

Department of Physics, Indian Institute of Technology, Delhi, Hauz Khas, 110 016, New Delhi, India

^* e-mail: iitd.arvind@gmail.com

Received: 23 October 2010
Revised: 26 November 2010
Accepted: 5 December 2011
Published online: 30 December 2011

Abstract

We study the properties of D and mesons in hot isospin asymmetric strange hadronic matter, arising due to their interactions with the hadrons in the hyperonic medium. The interactions of D and mesons with these light hadrons are derived by generalizing the chiral SU(3) model used for the study of hyperonic matter to SU(4). The nucleons, hyperons, the scalar isoscalar meson, σ and the scalar-isovector meson, as modified in the strange hadronic matter, modify the masses of D and mesons. It is found that, as compared to the mesons (, D ⁻), the properties of the D mesons (D ⁰, D ⁺) are more sensitive to the isospin asymmetry at high densities. On the other hand, the effects of strangeness fraction are found to be more dominant for the mesons as compared to the D mesons and these modifications are observed to be particularly appreciable at high densities. We also study the mass modifications of the charmonium states J/ψ, ψ(3686) and ψ(3770) in the isospin asymmetric strange hadronic matter at finite temperatures and investigate the possibility of the decay of the charmonium states into D pairs in the hot hadronic medium. The mass modifications of these charmonium states arise due to their interaction 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 effects of finite quark masses are taken into account in the trace of the energy momentum tensor in QCD, while investigating the medium modification of the charmonium masses through the modification of the gluon condensate in the medium. We also compute the partial decay widths of the charmonium states to the D pairs in the hadronic medium. The strong dependence on density of the in-medium properties of the D, and the charmonium states, as well as the partial decay widths of charmonium states to D pairs, found in the present investigation, will be of direct relevance in observables like open charm enhancement as well as J/ψ suppression in the compressed baryonic matter (CBM) experiments at the future Facility for Antiproton and Ion Research, GSI, where the baryonic matter at high densities is planned to be produced.