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

TL;DR

This paper investigates how the masses and decay constants of specific strange mesons change in hot, dense hadronic matter using QCD sum rules and chiral models, with implications for future experiments.

Contribution

It introduces a combined approach using QCD sum rules and chiral SU(3) models to study in-medium properties of $D_s$ and $B_s$ mesons and their excited states.

Findings

Mass and decay constant shifts of $D_s$ and $B_s$ mesons in medium.

In-medium decay widths of excited $D_s^*$ states.

Potential experimental signatures in future collider experiments.

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 $\left\langle \bar{s}s\right\rangle_{\rho_B}$, and gluon condensates $\left\langle \frac{\alpha_{s}}{\pi} {G^a}_{\mu\nu} {G^a}^{\mu\nu} \right\rangle_{\rho_B}$ 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 $D_s^*(2715)$ and $D_s^*(2860)$ 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.