Prospects for detecting the hidden-strange pentaquarklike state $N^{*}(2080)$ in the $π^{-} p\rightarrowφn$ reaction

Abstract: In this work, the production of the hidden-strange pentaquarklike state $N^{*}(2080)$ via the $\pi^{-} p$ scattering process is studied by the effective Lagrangian approach. Concretely, we consider the $\rho$ meson exchange of $t$-channel and the nucleon exchange of $u$-channel, which are treated as the background terms, and take into account the contribution of the $N^{*}(2080)$ via the $s$-channel as a signal term. By global fitting of the total and differential cross sections of the $\pi^{-} p\rightarrow\phi n$ process, it is shown that the $N^{*}(2080)$ contributes an obvious peak at the threshold energy point of the differential cross section at the forward angle ($\cos\theta = 1$), which provides clues to the detection of the $N^{*}(2080)$ by the $\pi^{-} p$ scattering process. However, due to the limited accuracy of the experimental data, it is an objective limitation for us to determine the properties of the $N^{*}(2080)$ by the $\pi^{-} p$ scattering process. Therefore, more accurate experimental measurements of the $\pi^{-} p\rightarrow\phi n$ reaction are highly desirable, and we have also proposed that correlation measurements can be performed on J-PARC, AMBER, and future HIKE and HIAF meson beam experiments.