In-medium pseudoscalar $D/B$ mesons and charmonium decay width

Abstract

Using QCD sum rules and chiral SU(3) model, we investigate the effect of temperature, density, strangeness fraction and isospin asymmetric parameter on the shift in masses and decay constants of the pseudoscalar $D$ and $B$ meson in hadronic medium, which consist of nucleons and hyperons. The in-medium properties of $D$ and $B$ mesons within QCD sum rule approach depend upon the quark and gluon condensates. In chiral SU(3) model, quark and gluon condensates are introduced through the explicit symmetry breaking term and the trace anomaly property of the QCD, respectively and are written in terms of scalar fields $\sigma$, $\zeta$, $\delta$ and $\chi$. Hence, through medium modification of $\sigma$, $\zeta$, $\delta$ and $\chi$ fields, we obtain the medium modified masses and decay constants of $D$ and $B$ mesons. As an application, using ${}^3{P}_0$ model, we calculate the in-medium decay width of the higher charmonium states $\psi (3686)$, $\psi (3770)$ and $\chi (3556)$ to the $D\bar{D}$ pairs, considering the in-medium mass of $D$ mesons. These results may be important to understand the possible outcomes of high energy physics experiments, e.g., CBM and PANDA at GSI, Germany.

31 pages and 7 figures

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Cited by in corpus (15)

• Recent Progress in QCD Condensate Evaluations and Sum Rules
• D mesons in strongly magnetized asymmetric nuclear matter
• Open bottom mesons in asymmetric nuclear matter in presence of strong magnetic fields
• Charmonium states in strong magnetic fields
• Charmonium decay widths in magnetized matter
• Analysis of pseudoscalar and scalar $D$ mesons and charmonium decay width in hot magnetized asymmetric nuclear matter
• In-medium properties of pseudoscalar $D_s$ and $B_s$ mesons
• $\varphi$ meson mass and decay width in strange hadronic matter
• Charmonia and Bottomonia in asymmetric magnetized hot nuclear matter
• Heavy vector and axial-vector $D$ mesons in hot magnetized asymmetric nuclear matter
• Masses and decay widths of scalar $D_0$ and $D_{s0}$ mesons in strange hadronic medium
• $\eta$ mesons in hot and dense asymmetric nuclear matter
• Dirac sea effects on Heavy Quarkonia decay widths in magnetized matter -- a field theoretic model of composite hadrons
• In-medium $J/\psi$ mass shift by the $D$ meson loop effect
• Impact of isospin asymmetric nuclear medium on pseudoscalar and vector $B$ mesons