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

Gang Li; Qiang Zhao

doi:10.1016/j.physletb.2008.10.033

paper

Hadronic loop contributions to $J / ψ$ and $ψ^{'}$ radiative decays into $γ η_{c}$ or $γ η_{c}^{'}$

arXiv:0709.4639 · doi:10.1016/j.physletb.2008.10.033

Abstract

Intermediate hadronic meson loop contributions to $J / ψ$ , $ψ^{'} \to γ η_{c}$ ( $γ η_{c}^{'}$ ) are studied apart from the dominant M1 transitions in an effective Lagrangian approach. Due to the property of the unique antisymmetric tensor coupling in $V \to V P$ , the hadronic loop transitions provide explicit corrections to the M1 transition amplitudes derived from the naive "quenched" $c c ˉ$ 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 $J / ψ$ and $ψ^{'} \to γ η_{c}$ . It also predicts a small branching ratio of $ψ^{'} \to γ η_{c}^{'}$ , which can be examined by experimental measurements at BES and CLEO-c.

arXiv comment10 pages, 2 eps figures, revtex4; version to appear on Phys. Lett. B

Hadronic loop contributions to $J / ψ$ and $ψ^{'}$ radiative decays into $γ η_{c}$ or $γ η_{c}^{'}$

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Hadronic loop contributions to $J / ψ$ and $ψ^{'}$ radiative decays into $γ η_{c}$ or $γ η_{c}^{'}$