The ΣN threshold structure in the K-d→π-Λp reaction
Abstract
The Λp invariant-mass spectrum near the two physical ΣN thresholds in the K-d→π-Λp reaction is studied as a probe of the low-energy ΣN interaction. The reaction is formulated up to two-step processes, and the coupled Λp, Σ+n, and Σ0p channels are described within a constant-K-matrix model constrained by spin-triplet scattering lengths. The dependence of the ΣN→Λp conversion amplitude on these scattering lengths is examined, and the relation between its line shape and nearby pole positions is investigated. The resulting invariant-mass spectra are studied at different incident kaon momenta and compared qualitatively with existing experimental data. The effects of the spin-singlet YN amplitude and the deuteron wave function are also examined. The line shape near the ΣN thresholds is found to be particularly sensitive to the complex spin-triplet I=1/2 ΣN scattering length, indicating that measurements of this spectrum can provide useful constraints on the low-energy ΣN interaction.
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BibTeX
@misc{yasunaga2026threshold,
title = {{The $ΣN$ threshold structure in the $K^-d\toπ^-Λp$ reaction}},
author = {Shunsuke Yasunaga and Daisuke Jido},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15928},
eprint = {2610.15928},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15928},
}
RIS
TY - UNPB
TI - The ΣN threshold structure in the K^-d→π^-Λp reaction
AU - Shunsuke Yasunaga
AU - Daisuke Jido
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15928
UR - https://arxiv.org/abs/2610.15928
AB - The Λp invariant-mass spectrum near the two physical ΣN thresholds in the K^-d→π^-Λp reaction is studied as a probe of the low-energy ΣN interaction. The reaction is formulated up to two-step processes, and the coupled Λp, Σ^+n, and Σ^0p channels are described within a constant-K-matrix model constrained by spin-triplet scattering lengths. The dependence of the ΣN→Λp conversion amplitude on these scattering lengths is examined, and the relation between its line shape and nearby pole positions is investigated. The resulting invariant-mass spectra are studied at different incident kaon momenta and compared qualitatively with existing experimental data. The effects of the spin-singlet YN amplitude and the deuteron wave function are also examined. The line shape near the ΣN thresholds is found to be particularly sensitive to the complex spin-triplet I=1/2 ΣN scattering length, indicating that measurements of this spectrum can provide useful constraints on the low-energy ΣN interaction.
ER -