In-medium properties of pseudoscalar $D_s$ and $B_s$ mesons

Abstract

We calculate the shift in masses and decay constants of $D_s(1968)$ and $B_s(5370)$ mesons in hot and dense asymmetric strange hadronic matter using QCD sum rules and chiral SU(3) model. In-medium strange quark condensates ${⟨\bar{s}s⟩}_{{\rho }_B}$, and gluon condensates ${⟨\frac{{\alpha }_s}{\pi }{G^a}_{\mu \nu }{G^a}^{\mu \nu }⟩}_{{\rho }_B}$ to be used in the QCD sum rules for pseudoscalar $D_s$ and $B_s$ mesons are calculated using chiral SU(3) model. As an application of our present work, we calculate the in-medium decay widths of the excited (c$\bar{s}$) states $D_s^{\ast }(2715)$ and $D_s^{\ast }(2860)$ decaying to ($D_s(1968)$,$\eta$) mesons. The medium effects in their decay widths are incorporated through the mass modification of the $D_s(1968)$ and $\eta$ mesons. Results of the present investigation may be helpful to understand the possible outcomes of the future experiments like CBM and PANDA under the FAIR facility.

Comments: 34 pages annd 8 figures