Determination of the $$K^+\bar{K}^0$$ K + K ¯ 0 scattering length and effective range from the $$D^+\rightarrow \bar{K}^0\pi ^+\eta $$ D + → K ¯ 0 π + η reaction

Abstract We study the scattering parameters of the $$K^+\bar{K}^0$$ K + K ¯ 0 system through the analysis of the $$D^+\rightarrow \bar{K}^0\pi ^+\eta $$ D + → K ¯ 0 π + η reaction, aiming at determining the scattering length $$a$$ a and effective range $$r_0$$ r 0 of the $$K^+\bar{K}^0$$ K + K ¯ 0 i...

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Bibliographic Details
Main Authors: Jing Song, Wei-Hong Liang, Eulogio Oset
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14246-2
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Summary:Abstract We study the scattering parameters of the $$K^+\bar{K}^0$$ K + K ¯ 0 system through the analysis of the $$D^+\rightarrow \bar{K}^0\pi ^+\eta $$ D + → K ¯ 0 π + η reaction, aiming at determining the scattering length $$a$$ a and effective range $$r_0$$ r 0 of the $$K^+\bar{K}^0$$ K + K ¯ 0 interaction. These parameters are extracted by analyzing and fitting the mass distributions of the pairs in the final $$\bar{K}^0\pi ^+\eta $$ K ¯ 0 π + η state. To ensure the reliability of the results, we apply resampling techniques to evaluate statistical uncertainties and improve the precision of the scattering parameters. The obtained results are compared with previous theoretical predictions and experimental data, providing new insights into the $$K^+\bar{K}^0$$ K + K ¯ 0 interaction at low energies.
ISSN:1434-6052