New analysis of $\hat{I}\cdot \ddot{I}€$ tensor resonances measured at the COMPASS experiment

Abstract

We present a new amplitude analysis of the $\hat{I}\cdot \ddot{I}€$ $D$-wave in $\ddot{I}{€}^{-}p\to \hat{I}\cdot \ddot{I}{€}^{-}p$ measured by COMPASS. Employing an analytical model based on the principles of the relativistic $S$-matrix, we find two resonances that can be identified with the $a_2(1320)$ and the excited $a_2^{\prime }(1700)$, and perform a comprehensive analysis of their pole positions. For the mass and width of the $a_2$ we find $M=(1307\pm 1\pm 6)$~MeV and $\hat{I}“=(112\pm 1\pm 8)$~MeV, and for the excited state $a_2^{\prime }$ we obtain $M=(1720\pm 10\pm 60)$~MeV and $\hat{I}“=(280\pm 10\pm 70)$~MeV, respectively.

15 pages, 6 figures