Baryon states with hidden charm in the extended local hidden gauge approach

Abstract

The s-wave interaction of $\bar{D} \Lambda_c, \bar{D} \Sigma_c, \bar{D} \Lambda_c, \bar{D}{}^* \Sigma_c$ and $\bar{D}\Sigma^*_c, \bar{D}{}^*\Sigma^*_c$, is studied within a unitary coupled channels scheme with the extended local hidden gauge approach. In addition to the Weinberg-Tomozawa term, several additional diagrams via the pion-exchange are also taken into account as box potentials. Furthermore, in order to implement the full coupled channels calculation, some of the box potentials which mix the vector-baryon and pseudoscalar-baryon sectors are extended to construct the effective transition potentials. As a result, we have observed six possible states in several angular momenta. Four of them correspond to two pairs of admixture states, two of $\bar{D}\Sigma_c$ - $\bar{D}{}^*\Sigma_c$ with $J^P = 1/2^-$, and two of $\bar{D}\Sigma^*_c$ - $\bar{D}{}^*\Sigma^*_c$ with $J^P = 3/2^-$. Moreover, we find a $\bar{D}{}^* \Sigma_c$ resonance which couples to the $\bar{D}\Lambda_c$ channel and one spin degenerated bound state of $\bar{D}{}^*\Sigma^*_c$ with $J^P = 1/2^-, 5/2^-$.