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

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 $D^{\ast }{\bar{D}}^{\ast }$ meson and pseudoscalar-vector $D{\bar{D}}^{\ast }$ mesons using ${}^3{P}_0$ 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${}^3{S}_1$ 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.

Comments: 17 pages, 4 figures