$\psi$(4040) and $Y(4008)$ decay widths in hot and dense strange hadronic matter

TL;DR

This study calculates the decay widths of $ ext{ψ}(4040)$ and $Y(4008)$ in hot, dense strange hadronic matter, revealing in-medium effects on their decay modes and aiding in spectroscopic state identification.

Contribution

It introduces a detailed evaluation of in-medium decay widths of excited charmonium states using the $^3P_0$ model with in-medium meson masses from chiral SU(3) and QCD sum rules.

Findings

In-medium decay widths vary significantly with density and temperature.

One state dominates over the other in specific decay channels in the medium.

Results assist in clarifying the spectroscopic nature of $Y(4008)$.

Abstract

In the present investigation, we evaluate the in-medium partial decay widths of exited states $\psi$(4040) and $Y$(4008) decaying to the pairs of non-strange pseudoscalar $D \bar{D}$ mesons, strange pseudoscalar $D_s \bar{D}_s$ mesons, non-strange vector $D^* \bar{D}^*$ meson and pseudoscalar-vector $D \bar{D}^*$ mesons using $^3P_0$ model. The in-medium effects are incorporated through the in-medium masses of daughter mesons (calculated using the chiral SU(3) model and QCD sum rule approach in our previous works). We consider $\psi$(4040) and $Y$(4008) states as 3$^3S_1$ states and observe the in-medium dominance of one state over the other for a given decay mode. The results of the present investigation will prove as one step forward in assigning the correct spectroscopic state to controversial $Y$(4008) state.