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A first prediction of the electromagnetic rare decays \$\eta^\prime\to\pi^0\gamma\gamma\$ and \$\eta^\prime\to\eta\gamma\gamma\$

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(Jul 23, 2012)

Abstract

The branching ratio of the electromagnetic rare decays \$\eta\to\pi^0\gamma\gamma\$ and \$\eta^\prime(\pi^0,\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. The measured \$\eta\to\pi^0\gamma\gamma\$ process serves as a test of our approach while the non yet measured \$\eta^\prime(\pi^0,\eta)\gamma\gamma\$ reactions are predicted for the first time. Our prediction for the \$\eta\to\pi^0\gamma\gamma\$ decay agrees with recent experimental reported values, thus supporting the validity of our framework. Therefore, our predictions for the \$\eta^\prime\to\pi^0\gamma\gamma\$ and \$\eta^\prime\to\eta\gamma\gamma\$ decays should be taken as a first indication of the possible values of the associated branching ratios. We hope these predictions to be interesting and useful for experiments such as KLOE-2, Crystal Ball, WASA, and BES-III where these processes are expected to be measured in the next future.

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