Determination of the $K^+\bar{K}^0$ scattering length and effective range from the $D^+\to\bar{K}^0\pi^+\eta$ reaction

TL;DR

This paper determines the scattering length and effective range of the K+K0bar system by analyzing the D+ to K0bar pi+ eta decay, providing new insights into low-energy kaon interactions.

Contribution

It introduces a novel analysis of the D+ decay to extract K+K0bar scattering parameters with improved statistical reliability.

Findings

Measured scattering length and effective range values.

Results agree with some theoretical predictions and previous data.

Enhanced understanding of low-energy K+K0bar interactions.

Abstract

We study the scattering parameters of the \(K^+\bar{K}^0\) system through the analysis of the \(D^+\to\bar{K}^0\pi^+\eta\) reaction, aiming at determining the scattering length \(a\) and effective range \(r_0\) of the \(K^+\bar{K}^0\) interaction. These parameters are extracted by analyzing and fitting the mass distributions of the pairs in the final \(\bar{K}^0\pi^+\eta\) 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 \(K^+\bar{K}^0\) interaction at low energies.