Partial wave analysis of $J/\ddot{I}ˆ\to {\hat{I}}^3\hat{I}\cdot \hat{I}\cdot$

Abstract

Based on a sample of $2.25\times 10^8$ $J/\ddot{I}ˆ$ events collected with the BESIII detector at BEPCII, a full partial wave analysis on $J/\ddot{I}ˆ\to {\hat{I}}^3\hat{I}\cdot \hat{I}\cdot$ was performed using the relativistic covariant tensor amplitude method. The results show that the dominant $0^{++}$ and $2^{++}$ components are from the $f_0(1710)$, $f_0(2100)$, $f_0(1500)$, $f_2^{\prime }(1525)$, $f_2(1810)$ and $f_2(2340)$. The resonance parameters and branching fractions are also presented.