arXiv · 2409.16696
Determination of the $K^{+}\bar{K}^{0}$ scattering length and effective range and its relation to the $a_{0}^{+}(980)$ from the $\chi_{c1}\to\pi^{+}\pi^{-}\eta$ reaction
Abstract
We analyze the clean cusp, seen in the $\eta \pi$ mass distribution with high precision of the $\chi_{c1} \to \eta \pi^+ \pi^-$ reaction in the BESIII experiment, with the aim of making a precise determination of the scattering length $a$ and effective range $r_0$ of $K^+ \bar{K}^{0}$. 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 $r_0$ is obtained better than $20\%$. The effective range is determined for the first time with this analysis.
Explore related subjects
Keep this discovery
Hai-Peng Li, Jia-Xin Lin, Wei-Hong Liang, Eulogio Oset. 2024-09-25. Determination of the $K^{+}\bar{K}^{0}$ scattering length and effective range and its relation to the $a_{0}^{+}(980)$ from the $\chi_{c1}\to\pi^{+}\pi^{-}\eta$ reaction. https://arxiv.org/abs/2409.16696
Cite the original work for its findings. Save a collection to share your selection of sources.