Masses and decay widths of scalar $D_0$ and $D_{s0}$ mesons in strange hadronic medium

TL;DR

This paper investigates how the masses and decay widths of scalar D mesons change in strange hadronic matter at finite temperature using QCD sum rules and chiral models, providing insights relevant for future experiments like CBM and PANDA.

Contribution

It presents a novel combined approach using QCD sum rules and chiral SU(3) model to evaluate in-medium properties of scalar D mesons, including their decay widths, in strange hadronic matter.

Findings

Masses of scalar D mesons decrease in medium.

Decay widths of D mesons are modified by medium effects.

Results are relevant for future experimental studies at FAIR.

Abstract

Masses and decay constants of scalar $D_0$ and $D_{s0}$ mesons in isospin asymmetric strange hadronic matter at finite temperature are evaluated using QCD sum rules and chiral SU(3) model. In-medium light quark condensates, $\left\langle \bar{u}u\right\rangle_{\rho_{B}}$ and $\left\langle \bar{d}d\right\rangle_{\rho_{B}}$, the strange quark condensates, $\left\langle \bar{s}s\right\rangle_{\rho_{B}}$, and the gluon condensates, $\left\langle \frac{\alpha_{s}}{\pi} {G^a}_{\mu\nu} {G^a}^{\mu\nu} \right\rangle_{\rho_{B}}$, needed in QCD sum rule calculations are evaluated using chiral SU(3) model. As an application, we calculate the in-medium partial decay width of scalar $D_0$ ($D_{s0}$) meson decaying to $D$ + $\pi$ ($D_s$+$\pi$) pseudoscalar mesons using $^3 P_0$ model. The medium effects in their decay widths are assimilated through the modification in the masses of these mesons. These results may be helpful to understand the possible outcomes of the future experiments like CBM and PANDA under the FAIR facility where the study of charmed hadrons is one of major goal.