<p>Motivated by experimental measurements, we investigate the <i>p</i>-Ω correlation functions and interactions on the basis of a quark model. By solving the inverse scattering problem with channel coupling, we renormalize the coupling to other channels into an effective single-channel <i>p</i>-Ω potentials. The effects of Coulomb interaction and spin-averaging are also discussed. According to our results, the depletion of the <i>p</i>-Ω correlation functions, which is attributed to the <i>J</i><sup><i>P</i></sup> = 2<sup>+</sup> bound state not observed in the ALICE Collaboration’s measurements (Nature <b>588</b>, 232 (2020)), can be explained by the contribution of the attractive <i>J</i><sup><i>P</i></sup> = 1<sup>+</sup> component in spin-averaging. So far, we have provided a consistent description of the <i>p</i>-Ω system from the perspective of the quark model, including the energy spectrum, scattering phase shifts, and correlation functions. The existence of the <i>p</i>-Ω bound state has been supported by all three aspects. Additionally, a sign of the <i>p</i>-Ω correlation function’s subtle sub-unity part can be seen in experimental measurements, which warrants more precise verification in the future.</p>

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Investigating the p-Ω interactions and correlation functions

  • Ye Yan,
  • Qi Huang,
  • Youchang Yang,
  • Hongxia Huang,
  • Jialun Ping

摘要

Motivated by experimental measurements, we investigate the p-Ω correlation functions and interactions on the basis of a quark model. By solving the inverse scattering problem with channel coupling, we renormalize the coupling to other channels into an effective single-channel p-Ω potentials. The effects of Coulomb interaction and spin-averaging are also discussed. According to our results, the depletion of the p-Ω correlation functions, which is attributed to the JP = 2+ bound state not observed in the ALICE Collaboration’s measurements (Nature 588, 232 (2020)), can be explained by the contribution of the attractive JP = 1+ component in spin-averaging. So far, we have provided a consistent description of the p-Ω system from the perspective of the quark model, including the energy spectrum, scattering phase shifts, and correlation functions. The existence of the p-Ω bound state has been supported by all three aspects. Additionally, a sign of the p-Ω correlation function’s subtle sub-unity part can be seen in experimental measurements, which warrants more precise verification in the future.