Hadronic loop contributions to $J/ψ$ and $ψ^\prime$ radiative decays into $γη_c$ or $γη_c^\prime$

Details Hadronic loop contributions to $J/ψ$ and $ψ^\prime$ radiative decays into $γη_c$ or $γη_c^\prime$ Hadronic loop contributions to $J/ψ$ and $ψ^\prime$ radiative decays into $γη_c$ or $γη_c^\prime$

2007-09-28

arxiv.org/abs/0709.4639v3

Phys.Lett.B670:55-60,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 2 eps figures, revtex4; version to appear on Phys. Lett. B

Scientific paper

10.1016/j.physletb.2008.10.033

Intermediate hadronic meson loop contributions to $J/\psi$, $\psi^\prime \to \gamma\eta_c$ ($\gamma\eta_c^\prime$) are studied apart from the dominant M1 transitions in an effective Lagrangian approach. Due to the property of the unique antisymmetric tensor coupling in $V\to VP$, the hadronic loop transitions provide explicit corrections to the M1 transition amplitudes derived from the naive "quenched" $c\bar{c}$ transitions via the coupling form factors. This mechanism interfering with the M1 transition amplitudes naturally accounts for the deviations from the Godfrey-Isgur model predictions in $J/\psi$ and $\psi^\prime\to \gamma\eta_c$. It also predicts a small branching ratio of $\psi^\prime\to \gamma\eta_c^\prime$, which can be examined by experimental measurements at BES and CLEO-c.

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