Determination of the K⁺K⁰ scattering length and effective range and its relation to the a₀⁺(980) from the χ_c1→π⁺π^-η reaction

2024/09/25 by Haipeng Li, Jia-Xin Lin, Li, Hai-Peng +5
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2409.16696

Abstract

We analyze the clean cusp, seen in the ηπ mass distribution with high precision of the χ_c1 → ηπ⁺ π^- reaction in the BESIII experiment, with the aim of making a precise determination of the scattering length a and effective range r₀ of K⁺ K⁰. For that, we follow a previous theoretical work that gave a good reproduction of these data using the chiral unitary approach for the meson-meson interaction, and allow some flexibility in the input to carry a better fit to the data. The important task of determining the uncertainties in the scattering parameters is done using the resampling method and an accuracy in a and r₀ is obtained better than 20%. The effective range is determined for the first time with this analysis.

Related

• Determination of the K⁺K⁰ scattering length and effective range from the D⁺→K⁰π⁺η reaction
• Precise determination of the ηΛ scattering length and effective range and relationship to the Λ(1670) resonance
• Determination of the K¯0d scattering length from the reaction pp→dK¯0K+
• Roles of a₀(980) and a₀(1710) in Cabibbo-suppressed process D⁺→ π⁰π⁺η
• Scattering length from BS wave function inside the interaction range