Near-threshold scattering of proton and Omega baryon and possible bound states

Abstract

We study the near-threshold scattering and bound-state structure of the $N\Omega$ system by solving the Lippmann-Schwinger (L-S) equation within the framework of the meson exchange model and the Pomeron exchange model. The numerical results indicate that after incorporating the Pomeron exchange mechanism, the observables of the ${}^{5}S{}_2$ channel, such as the binding energy, scattering length, and effective range, agree better with the experimental measurements. In addition, The Pomeron exchange can provide an extra attractive interaction to make the hadronic state more compact. We also predict the scattering behavior of the ${}^{3}S{}_1$ channel and confirm that a weak quasi-bound state exists in this channel. Future experimental measurements on the ${}^{3}S{}_1$ channel will provide an important criterion for verifying the dynamic role played by the Pomeron exchange mechanism within the $N\Omega$ system.

Comments: Revtex, 11 pages, 7 figures