The production of neutral $N^{\ast }(11052)$ resonance with hidden beauty from $\ddot{I}{€}^{-}p$ scattering

Abstract

We investigate the discovery potential of the predicted neutral hidden beauty $N^{\ast }(11052)$ resonance through $\ddot{I}{€}^{-}p$ scattering within an effective Lagrangian approach. Two reactions $\ddot{I}{€}^{-}p\to K^{-}\hat{I}{\pounds }^{+}$ and $\ddot{I}{€}^{-}p\to \hat{I}{\cdot }_{b}n$ are studied in this work, with nucleon pole exchange as the background. It is found that the contributions of the $N^{\ast }(11052)$ resonance give clear peak structures in the magnitude of 1 $\hat{I}¼b$ near the threshold of the $N^{\ast }(11052)$ in the total cross sections. The numerical results indicate that the center of mass energy $W\simeq$ 11-11.1 GeV would be a best energy window for searching the $N^{\ast }(11052)$ resonance, where the $N^{\ast }(11052)$ signal can be easily distinguished from the background. The COMPASS experiment at CERN's Super Proton Synchrotron (SPS) with pion beam of $\simeq$ 280 GeV will be an ideal platform for searching the super-heavy resonance with hidden beauty, which is hopeful to test the theoretical results.