Study of $Λp$ and $\barΛ p$ scatterings via quasipotential Bethe-Salpeter equation
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918103528505344 |
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| author | Chen, Yaning He, Jun |
| author_facet | Chen, Yaning He, Jun |
| contents | Motivated by recent BESIII measurements of the $Λp \to Λp$ and $\barΛ p \to \barΛ p$ scattering processes, we investigate these reactions within the framework of the quasipotential Bethe-Salpeter equation using an effective Lagrangian approach. The interaction potentials are constructed via a one-boson-exchange model incorporating pseudoscalar, scalar, and vector meson exchanges, along with coupled-channel effects from the $ΣN$ and $\barΣ N$ channels. For the $Λp \to Λp$ reaction, the total cross sections from threshold up to $\sqrt{s} = 2.5~\text{GeV}$ are well reproduced. A mild enhancement near the $ΣN$ threshold is attributed to coupled-channel dynamics. Using parameters constrained by the total cross section data, our model also predicts differential cross sections at $\sqrt{s} = 2.24~\text{GeV}$, which exhibit weak angular dependence, consistent with experimental observations. Partial-wave analysis indicates that the $1^+$ partial wave dominates over the entire energy range, while the $0^+$ wave plays a significant role near threshold. For the $\barΛ p \to \barΛ p$ reaction, our predicted total cross sections show good agreement with the BESIII data. The $1^-$ partial wave is found to dominate in most of the energy region. Notably, the calculated differential cross sections exhibit a strong forward peaking behavior, consistent with experimental findings and understood as resulting from constructive interference among various partial waves. This forward-peaked angular distribution persists across a range of energies, highlighting the distinct dynamics of the $\barΛ p$ interaction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18415 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Study of $Λp$ and $\barΛ p$ scatterings via quasipotential Bethe-Salpeter equation Chen, Yaning He, Jun High Energy Physics - Phenomenology Nuclear Theory Motivated by recent BESIII measurements of the $Λp \to Λp$ and $\barΛ p \to \barΛ p$ scattering processes, we investigate these reactions within the framework of the quasipotential Bethe-Salpeter equation using an effective Lagrangian approach. The interaction potentials are constructed via a one-boson-exchange model incorporating pseudoscalar, scalar, and vector meson exchanges, along with coupled-channel effects from the $ΣN$ and $\barΣ N$ channels. For the $Λp \to Λp$ reaction, the total cross sections from threshold up to $\sqrt{s} = 2.5~\text{GeV}$ are well reproduced. A mild enhancement near the $ΣN$ threshold is attributed to coupled-channel dynamics. Using parameters constrained by the total cross section data, our model also predicts differential cross sections at $\sqrt{s} = 2.24~\text{GeV}$, which exhibit weak angular dependence, consistent with experimental observations. Partial-wave analysis indicates that the $1^+$ partial wave dominates over the entire energy range, while the $0^+$ wave plays a significant role near threshold. For the $\barΛ p \to \barΛ p$ reaction, our predicted total cross sections show good agreement with the BESIII data. The $1^-$ partial wave is found to dominate in most of the energy region. Notably, the calculated differential cross sections exhibit a strong forward peaking behavior, consistent with experimental findings and understood as resulting from constructive interference among various partial waves. This forward-peaked angular distribution persists across a range of energies, highlighting the distinct dynamics of the $\barΛ p$ interaction. |
| title | Study of $Λp$ and $\barΛ p$ scatterings via quasipotential Bethe-Salpeter equation |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2507.18415 |