Isospin violation in phi, J/psi, psi[prime]-->omegapi0 via hadronic loops

Abstract

<p><p class="abstract">Inthis work, we study the isospin-violating decay of phi-->omegapi⁰ andquantify the electromagnetic (EM) transitions and intermediate meson exchanges astwo major sources of the decay mechanisms. In the EMdecays, the present datum status allows a good constraint onthe EM decay form factor in the vector meson dominancemodel, and it turns out that the EM transition canonly account for about 1/4~1/3 of the branching ratio forphi-->omegapi⁰. The intermediate meson exchanges, <i>K</i>[overline K](<i>K</i>^*) (intermediate <i>K</i>[overline K] interaction via<i>K</i>^* exchanges), <i>K</i>[overline K]^*(<i>K</i>) (intermediate <i>K</i>[overline K]^* rescattering via kaon exchanges), and<i>K</i>[overline K]^*(<i>K</i>^*) (intermediate <i>K</i>[overline K]^* rescattering via <i>K</i>^* exchanges), which evade thenaive Okubo-Zweig-Iizuka rule, serve as another important contribution to theisospin violations. They are evaluated with effective Lagrangians where explicitconstraints from experiment can be applied. Combining these three contributions,we obtain results in good agreement with the experimental data.This approach is also extended to <i>J</i>/psi(psi^[prime])-->omegapi⁰, where we findcontributions from the <i>K</i>[overline K](<i>K</i>^*), <i>K</i>[overline K]^*(<i>K</i>), and <i>K</i>[overline K]^*(<i>K</i>^*) loops are negligiblysmall, and the isospin violation is likely to be dominatedby the EM transition.</p>

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