Partial Wave Analysis of $\chi_{c0}\to\pi^+\pi^-K^+K^-$

TL;DR

This study performs a detailed partial wave analysis of the decay $oldsymbol{\chi_{c0} o ext{ extpi}^+ ext{ extpi}^- ext{K}^+ ext{K}^-}$ using a large data sample, identifying multiple intermediate resonant contributions and measuring their properties.

Contribution

It introduces a comprehensive partial wave analysis of $oldsymbol{ ext{ extchi}_{c0}}$ decays, revealing new resonance contributions and flavor-SU(3) symmetry violations in $oldsymbol{ ext{ extchi}_{c0}}$ decay channels.

Findings

Identified significant contributions from multiple scalar and tensor resonances.

Observed flavor-SU(3)-violating asymmetry between $K_1(1270)$ and $K_1(1400)$.

Measured masses and widths of several scalar resonances.

Abstract

A partial wave analysis of $\chi_{c0}\to\pi^+\pi^-K^+K^-$ in $\psi(2S)\to\gamma\chi_{c0}$ decay is presented using a sample of 14 million $\psi(2S)$ events accumulated by the BES II detector. The data are fitted to the sum of relativistic covariant tensor amplitudes for intermediate resonant decay modes. From the fit, significant contributions to $\chi_{c0}$ decays from the channels $f_0(980)f_0(980)$, $f_0(980)f_0(2200)$, $f_0(1370)f_0(1710)$, $K^*(892)^0\bar K^*(892)^0$, $K^*_0(1430)\bar K^*_0(1430)$, $K^*_0(1430)\bar K^*_2(1430) + c.c.$, and $K_1(1270)K$ are found. Flavor-SU(3)-violating $K_1(1270)-K_1(1400)$ asymmetry is observed. Values obtained for the masses and widths of the resonances $f_0(1710)$, $f_0(2200)$, $f_0(1370)$, and $K^*_0(1430)$ are presented.