Strange molecular partners of $P_c$ states in $\gamma p\to \varphi p$ reaction

Abstract

Based on the high statistical data of the CLAS Collaboration on $\gamma p\to \varphi p$ reaction in the center-of-mass energy range of 2.2 GeV to 2.8 GeV, we investigate the possible existence of strange molecular partners of $P_c$ states, i.e., $N^{\ast }(2080)$ and $N^{\ast }(2270)$ as $K^{\ast }\Sigma$ and $K^{\ast }{\Sigma }^{\ast }$ molecular states. In addition to the t-channel Pomeron exchange, t-channel meson exchange including pseudo-scalar meson $(\pi ,\eta )$, scalar meson $(\sigma ,a_0(980),f_0(980))$, axial-vector meson $f_1(1285)$, tensor meson $f_2(1270)$, as well as s- and u-channel proton exchange, including s-channel $N^{\ast }(2080)$ and $N^{\ast }(2270)$ states can fit the data very well. The fitted coupling constants of these $N^{\ast }$ molecular states to $p\varphi$ and $\gamma p$ are consistent with the results directly calculated from the relevant hadronic triangle diagrams of the molecular picture.

Comments: 17 pages, 9 figures, 4 tables