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arXiv · 2407.01410

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

Man-Yu Duan·Melahat Bayar·Eulogio Oset
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Abstract

We use the Belle data on the $K^- p$ mass distribution of the $Λ_c^+ \to p K^- π^+$ 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 $r_0$ for the first time. The addition of the $K^- p \to ηΛ$ 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 $Λ(1670)$.

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Man-Yu Duan, Melahat Bayar, Eulogio Oset. 2024-07-26. Precise determination of the $ηΛ$ scattering length and effective range and relationship to the $Λ(1670)$ resonance. https://arxiv.org/abs/2407.01410

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