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

TL;DR

This paper investigates how temperature, density, and strangeness affect the masses and decay constants of $D$ and $B$ mesons in hadronic media using QCD sum rules and chiral models, and applies findings to charmonium decay widths.

Contribution

It combines QCD sum rules and chiral SU(3) models to analyze in-medium modifications of heavy mesons and calculates in-medium charmonium decay widths, providing new insights into hadronic matter effects.

Findings

In-medium masses and decay constants of $D$ and $B$ mesons are modified by medium conditions.

In-medium decay widths of higher charmonium states to $D\bar{D}$ are computed.

Results are relevant for high energy physics experiments like CBM and PANDA.

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.