The strong decays of K1 resonances

TL;DR

This paper analyzes the strong decay processes of K1 resonances using a quark-pair-creation model, providing detailed partial wave amplitude calculations and determining the K1 mixing angle, with implications for B meson decay studies.

Contribution

It introduces a detailed method to extract partial wave amplitudes and phases for K1 decays using experimental data, and determines the K1 mixing angle consistent with previous findings.

Findings

K1 mixing angle is approximately 60 degrees.

Method for deriving partial wave amplitudes from experimental data.

Application to photon polarization in B-->K1 gamma decays.

Abstract

We investigate the K1--> K pi pi strong interaction decays. Using the 3P0 quark-pair-creation model to derive the basic parametrization, we discuss in detail how to obtain the various partial wave amplitudes into the possible quasi-two-body decay channels as well as their relative phases from the currently available experimental data. We obtain the K1 mixing angle to be thetaK1= 60 deg, in agreement with previous works. Our study can be applied to extract the information needed for the photon polarization determination of the radiative B--> K1 gamma decay.