Interpretations of the new LHCb $P_c(4337)^+$ pentaquark state
Résumé
Recently the LHCb Collaboration has observed a new pentaquark state, the $P_c(4337)^+$. Owing to its proximity to the $\chi _{c0}(1S) p$, ${\bar{D}}^* \varLambda _c$, ${\bar{D}} \varSigma _c$ and ${\bar{D}} \varSigma _c^*$ thresholds, this new pentaquark might very well be a meson–baryon bound state. However its spin and parity have not been determined yet and none of the previous possibilities can be ruled out.We briefly explore a few of these options and the consequences they entail in the present manuscript: (i) the $P_c(4337)^+$ might be a $\chi _{c0}(1S) p$ bound state, (ii) the $P_c(4312)^+$ and $P_c(4337)^+$ might be ${\bar{D}}^* \varLambda _c$ and ${\bar{D}} \varSigma _c$ states close to threshold, respectively, where the Breit–Wigner mass might not correspond to the location of the poles, (iii) the locations of the $P_c(4312)^+$ and $P_c(4337)^+$ might be explained in terms of the ${\bar{D}}^* \varLambda _c$-${\bar{D}} \varSigma _c$ and ${\bar{D}}^* \varLambda _c$-${\bar{D}} \varSigma _c^*$ coupled channel dynamics. This last option, though not the most probable explanation, is still potentially compatible with the double peak solution of the $P_{cs}(4459)^0$ and with what we know of the $P_c(4312)^+$. As a byproduct of the previous explorations, we conjecture the existence of a series of anticharmed meson – antitriplet charmed baryon bound states and calculate their masses.