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$d_{N Ω}$ production in $Ωd$ scattering process

Quan-Yun Guo, Jing Liu, Dian-Yong Chen

Abstract

In the present work, we propose to investigate the production of $d_{N Ω}$ in the $Ω^{-} d \rightarrow p d_{N Ω}^-$ process by utilizing an effective Lagrangian approach, where $d_{N Ω}$ is identified as $NΩ$ bound state with the binding energy $E_{b}=2.46$ MeV. Experimentally, the J-PARC hadron facility proposed to investigate the $K^{-}p \rightarrow Ω^{-} \bar{K}^{(*)0} K^{+}$ process, which is expected to yield an $Ω$ beam with the momentum of approximately 3 GeV. Additionally, theoretical studies of the $ψ(2S) \rightarrow Ω^{-} \barΩ^{+}$ process at BESIII provided an $Ω$ beam with the momentum of 774 MeV. Considering these two potential $Ω$ beam sources, our estimations show that for the $Ω^{-} d \rightarrow p d_{N Ω}^-$ process, the cross sections are $\Big(329.7^{+26.9}_{-49.6}\Big)$ $μ$b, $\Big(174.0^{+26.5}_{-38.2}\Big)$ $μ$b, $\Big(16.9^{+7.4}_{-7.7}\Big)$ $μ$b, and $\Big(2.0^{+1.8}_{-1.4}\Big)$ $μ$b at $P_Ω =$ 0.7, 0.9, 2.0, and 4.0 GeV, respectively, where the central values are estimated with $Λ_{r}=1.0$ GeV, and the errors come from the variation of $Λ_{r}$ 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 $d_{N Ω}$ dibaryon predominantly decays into $ΞΛ$. Therefore, we further investigate the $Ω^{-} d \rightarrow p Ξ^- Λ$ 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.

$d_{N Ω}$ production in $Ωd$ scattering process

Abstract

In the present work, we propose to investigate the production of in the process by utilizing an effective Lagrangian approach, where is identified as bound state with the binding energy MeV. Experimentally, the J-PARC hadron facility proposed to investigate the process, which is expected to yield an beam with the momentum of approximately 3 GeV. Additionally, theoretical studies of the process at BESIII provided an beam with the momentum of 774 MeV. Considering these two potential beam sources, our estimations show that for the process, the cross sections are b, b, b, and b at 0.7, 0.9, 2.0, and 4.0 GeV, respectively, where the central values are estimated with GeV, and the errors come from the variation of 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 dibaryon predominantly decays into . Therefore, we further investigate the 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.
Paper Structure (9 sections, 15 equations, 5 figures)

This paper contains 9 sections, 15 equations, 5 figures.

Table of Contents

  1. Introduction
  2. $d_{N \Omega}$ PRODUCTION IN THE $\Omega d$ scattering process
  3. Cross Sections for $\Omega^{-} d \rightarrow p d_{N \Omega}^-$
  4. Cross Sections for $\Omega^{-} d \rightarrow p \Xi \Lambda$
  5. NUMERICAL RESULTS AND DISCUSSIONS
  6. Form factor and Coupling Constants
  7. Cross Sections for $\Omega^{-}d \rightarrow p d_{N \Omega}^-$
  8. Cross sections for $\Omega^{-} d \rightarrow p \Xi \Lambda$
  9. SUMMARY

Figures (5)

  • Figure 1: Diagram contributing to the $\Omega^{-} d \rightarrow p d_{N \Omega}^-$ process.
  • Figure 2: Diagram contributing to the $\Omega^{-} d \rightarrow p \Xi \Lambda$ process.
  • Figure 3: The cross sections for $\Omega^{-} d \rightarrow p d_{N \Omega}^-$ depending on the momentum of the incident $\Omega$ beam. The black solid curve is obtained with $\Lambda_{r}=1.0$ GeV, while the cyan band are the uncertainties resulted from the variation of $\Lambda_{r}$ from 0.8 to 1.2 GeV. The gray and green vertical bands correspond to the ranges of $P_{\Omega}=[0.7,0.9]$ GeV and $P_{\Omega}=[2,4]$ GeV, respectively.
  • Figure 4: The differential cross section for $\Omega^{-} d \rightarrow p d_{N \Omega}^-$ depending on cos$\theta$, and the parameter $\Lambda_{r}$ is taken as 1.0 GeV.
  • Figure 5: The cross sections for the $\Omega^{-} d \rightarrow p \Xi \Lambda$ process depending on the momentum of the incident $\Omega$ beam. The black solid curve is obtained with $\Lambda_{r}=1.0$ GeV, while the cyan band are the uncertainties resulted from the varying of $\Lambda_{r}$ from 0.8 to 1.2 GeV. The gray and green rectangles correspond to the ranges of $P_{\Omega}=[0.7,0.9]$ GeV and $P_{\Omega}=[2,4]$ GeV, respectively.