Study of nucleon and $\hat{I}”$ resonances from a systematic analysis of $K^{\ast }\hat{I}\pounds$ photoproduction

Abstract

A systematic analysis of the $K^{\ast }\hat{I}\pounds$ photoproduction off proton is performed with all the available differential cross section data. We carry out a strategy different from the previous studies of these reactions, where, instead of fixing the parameters of the added resonances from PDG or pentaquark models, we add the resonance with a specific $J^P$ and leave its parameters to be determined from the experimental data. When adding only one resonance, the best result is to add one $N(3/2^{-})$ resonance around $2097$ MeV, which substantially reduces the $\ddot{I}{‡}^2$ per degree of freedom to $1.35$. There are two best solutions when adding two resonances, one is to add one $N^{\ast }(3/2^{-})$ and one $N^{\ast }(7/2^{-})$, the other is to add one $N^{\ast }(3/2^{-})$ and one $\hat{I}{”}^{\ast }(7/2^{-})$, leading the $\ddot{I}{‡}^2$ per degree of freedom to be $1.10$ and $1.09$, respectively. The mass values of the $N^{\ast }(3/2^{-})$ in the two resonance solutions are both near $2070$ MeV. Our solutions indicate that the $N(3/2^{-})$ resonance around $2080$ MeV is strongly coupled with the $K^{\ast }\hat{I}\pounds$ final state and support the molecular picture of $N(2080,3/2^{-})$.

12 pages, 7 figures