$d_{N \Omega}$ production in $\Omega d$ scattering process

TL;DR

This study estimates the production cross sections of the $d_{N \Omega}$ dibaryon in $\Omega d$ scattering at various energies using an effective Lagrangian approach, providing predictions for future experimental verification.

Contribution

It introduces a theoretical estimation of $d_{N \Omega}$ production cross sections in $\Omega d$ scattering, linking effective Lagrangian calculations with potential experimental setups.

Findings

Cross sections range from 329.7 μb at 0.7 GeV to 2.0 μb at 4.0 GeV.

Differential cross sections peak at the forward angle.

Predictions are made for future experiments at J-PARC and STCF.

Abstract

In the present work, we propose to investigate the production of $d_{N \Omega}$ in the $\Omega^{-} d \rightarrow p d_{N \Omega}^-$ process by utilizing an effective Lagrangian approach, where $d_{N \Omega}$ is identified as $N\Omega$ bound state with the binding energy $E_{b}=2.46$ MeV. Experimentally, the J-PARC hadron facility proposed to investigate the $K^{-}p \rightarrow \Omega^{-} \bar{K}^{(*)0} K^{+}$ process, which is expected to yield an $\Omega$ beam with the momentum of approximately 3 GeV. Additionally, theoretical studies of the $\psi(2S) \rightarrow \Omega^{-} \bar{\Omega}^{+}$ process at BESIII provided an $\Omega$ beam with the momentum of 774 MeV. Considering these two potential $\Omega$ beam sources, our estimations show that for the $\Omega^{-} d \rightarrow p d_{N \Omega}^-$ process, the cross sections are $\Big(329.7^{+26.9}_{-49.6}\Big)$ $\mu$b, $\Big(174.0^{+26.5}_{-38.2}\Big)$ $\mu$b, $\Big(16.9^{+7.4}_{-7.7}\Big)$ $\mu$b, and $\Big(2.0^{+1.8}_{-1.4}\Big)$ $\mu$b at $P_{\Omega} =$ 0.7, 0.9, 2.0, and 4.0 GeV, respectively, where the central values are estimated with $\Lambda_{r}=1.0$ GeV, and the errors come from the variation of $\Lambda_{r}$ from 0.8 to 1.2 GeV. We also estimate the differential cross sections, which reach the maximum at the forward angle limit. In addition, since the $d_{N \Omega}$ dibaryon predominantly decays into $\Xi \Lambda$. Therefore, we further investigate the $\Omega^{-} d \rightarrow p \Xi^- \Lambda$ process and estimate the relevant cross sections. It is expected that the present estimations can be tested by further experimental measurements at J-PARC and STCF in the future.