Hyperon-nucleon interaction through the $K^-d\toπΛN$ reaction
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866915972672126976 |
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| author | Yasunaga, Shunsuke Jido, Daisuke |
| author_facet | Yasunaga, Shunsuke Jido, Daisuke |
| contents | The hyperon-nucleon interaction is investigated through the final-state interaction in the $K^-d\toπ^-Λp$ reaction. We focus on the $ΛN$-$ΣN$ coupled-channel interaction, which produces characteristic structures around the $ΣN$ thresholds in the $Λp$ invariant mass spectrum. The spin-triplet $ΣN\toΛp$ conversion amplitude is constructed within the $K$-matrix formalism using scattering lengths in the isospin basis. We first examine the dependence of the conversion amplitude on the $ΣN$ scattering lengths and find that the threshold structure is particularly sensitive to the sign of the real part of the $I=1/2$ scattering length. We then calculate the $Λp$ invariant mass spectrum of the $K^-d\toπ^-Λp$ reaction, including the contributions from the background diagrams. The resulting spectra show characteristic structures around the $ΣN$ thresholds, whose shapes depend on the choice of the interaction parameters. These results suggest that the $Λp$ invariant mass spectrum can serve as a useful observable for constraining the $ΛN$-$ΣN$ coupled-channel interaction. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_00727 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hyperon-nucleon interaction through the $K^-d\toπΛN$ reaction Yasunaga, Shunsuke Jido, Daisuke Nuclear Theory The hyperon-nucleon interaction is investigated through the final-state interaction in the $K^-d\toπ^-Λp$ reaction. We focus on the $ΛN$-$ΣN$ coupled-channel interaction, which produces characteristic structures around the $ΣN$ thresholds in the $Λp$ invariant mass spectrum. The spin-triplet $ΣN\toΛp$ conversion amplitude is constructed within the $K$-matrix formalism using scattering lengths in the isospin basis. We first examine the dependence of the conversion amplitude on the $ΣN$ scattering lengths and find that the threshold structure is particularly sensitive to the sign of the real part of the $I=1/2$ scattering length. We then calculate the $Λp$ invariant mass spectrum of the $K^-d\toπ^-Λp$ reaction, including the contributions from the background diagrams. The resulting spectra show characteristic structures around the $ΣN$ thresholds, whose shapes depend on the choice of the interaction parameters. These results suggest that the $Λp$ invariant mass spectrum can serve as a useful observable for constraining the $ΛN$-$ΣN$ coupled-channel interaction. |
| title | Hyperon-nucleon interaction through the $K^-d\toπΛN$ reaction |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2605.00727 |