Prediction of anomalous γ(5S) → γ(13DJ)η transitions

In this work, we study the hadronic loop contribution to the gamma(5S) -> gamma(1(3)D(J))eta ( J = 1, 2, 3) transitions. We predict that the branching ratios of gamma(5S) -> gamma(1(3)D(1))eta , gamma(5S) -> gamma(1(3)D(2))eta and gamma(5S) -> gamma(1(3)D(3))eta can reach up to (0.5- 5.1) x 10(-3), (0.7- 7.5) x 10(-3) and (0.9- 9.6) x 10(-4), respectively. Since these predicted hadronic transitions gamma(5S) of are comparable with these observed gamma(5S) -> gamma(nS)pi(+)pi(-) ( n = 1, 2, 3), we suggest for future experiments like Belle and BelleII to carry out the search for these anomalous gamma(5S) -> gamma(1(3)D(J))eta transitions.