$P_c(4457)$ interpreted as a $J^P=1/2^{+}$ state by ${\bar{D}}^0\hat{I}{›}_c^{+}(2595)$-$\ddot{I}{€}^0{P}_c(4312)$ interaction

Abstract

$P_c(4457)$ has been discovered over five years, but the parity of this particle remains undetermined. In this letter we propose a new interpretation for $P_c(4457)$, which is the state generated from the coupled-channel ${\bar{D}}^0\hat{I}{›}_c^{+}(2595)$ and $\ddot{I}{€}^0{P}_c(4312)$ since they can exchange an almost on-shell $\hat{I}{\pounds }_c^{+}$. In this scenario, the parity of $P_c(4457)$ will be positive, which is different from the candidate of the bound state of ${\bar{D}}^{\ast }\hat{I}{\pounds }_c$. The main decay channel of $P_c(4457)$ in this model is $P_c(4312)\ddot{I}€$. We propose three processes $\hat{I}{›}_b^0\to J/\ddot{I}ˆK_{s}p\ddot{I}{€}^{-}$, $\hat{I}{›}_b^0\to J/\ddot{I}ˆK^{-}p\ddot{I}{€}^0$, and $\hat{I}{›}_b^0\to J/\ddot{I}ˆp\ddot{I}{€}^{-}\ddot{I}{€}^{+}{K}^{-}$ to verify $P_c(4457)\to P_c(4312)\ddot{I}€$.

7 Pages, 2 figures