Precise determination of the ηΛ scattering length and effective range and relationship to the Λ(1670) resonance

We use the Belle data on the K−p mass distribution of the Λc+→pK−π+ reaction near the ηΛ threshold to determine the ηΛ scattering length and effective range. We show that from these data alone we can determine the value of a with better precision than so far determined, and the value of r0 for the f...

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Bibliographic Details
Published in:Physics letters. B 2024-10, Vol.857, p.139003, Article 139003
Main Authors: Duan, Man-Yu, Bayar, Melahat, Oset, Eulogio
Format: Article
Language:English
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Summary:We use the Belle data on the K−p mass distribution of the Λc+→pK−π+ reaction near the ηΛ threshold to determine the ηΛ scattering length and effective range. We show that from these data alone we can determine the value of a with better precision than so far determined, and the value of r0 for the first time. The addition of the K−p→ηΛ data allows us to improve the precision of these magnitudes, with errors smaller than 15%. We also determine with high precision the pole position of the Λ(1670).
ISSN:0370-2693
DOI:10.1016/j.physletb.2024.139003