8th Workshop of the APS Topical Group on Hadronic Physics

A theoretical analysis of $\eta^{\prime}\to\eta\pi\pi$, and of the doubly radiative $\eta^{(\prime)}\to\pi^0\gamma\gamma$ and $\eta^\prime\to\eta\gamma\gamma$ decays

Apr 11, 2019, 4:45 PM

20m

Director's Row H (Denver, CO)

contributed talk Production and Decays

Speaker

Dr Sergi Gonzàlez-Solís (Indiana University)

Description

In the first part of this talk, we present an analysis of the $\eta^{\prime}\to\eta\pi\pi$ decays within the framework of $U(3)_{L}\times U(3)_{R}$ ChPT including resonance states and the complete one-loop corrections. The amplitude is projected in partial waves and unitarized by means of the $N/D$ method resumming both the important $S$-and $D$-wave $\pi\pi$ and the subleading $S$-wave $\pi\eta$ final-state interactions. Using the new data from the A2 collaboration we perform a very precise analysis of this channel and make predictions for the neutral channel that are in good agreement with the BESIII measurement. In the second part of the talk, the rare, doubly radiative decays $\eta^{(\prime)}\to\pi^0\gamma\gamma$ and $\eta^\prime\to\eta\gamma\gamma$ are analysed in terms of scalar and vector meson exchange contributions using the frameworks of the Linear Sigma Model and Vector Meson Dominance, respectively.

Presentation materials

Slides

Sergi_APS.pdf