Isospin violation in $\varphi ,J/\psi ,{\psi }^{\prime }\to \omega {\pi }^0$ via hadronic loops

Abstract

In this work, we study the isospin-violating decay of $\varphi \to \omega {\pi }^0$ and quantify the electromagnetic (EM) transitions and intermediate meson exchanges as two major sources of the decay mechanisms. In the EM decays, the present datum status allows a good constraint on the EM decay form factor in the vector meson dominance (VMD) model, and it turns out that the EM transition can only account for about $1/4\sim 1/3$ of the branching ratio for $\varphi \to \omega {\pi }^0$. The intermediate meson exchanges, $K\bar{K}(K^{\ast })$ (intermediate $K\bar{K}$ interaction via $K^{\ast }$ exchanges), $K\overline{K^{\ast }}(K)$ (intermediate $K\overline{K^{\ast }}$ rescattering via kaon exchanges), and $K\overline{K^{\ast }}(K^{\ast })$ (intermediate $K\overline{K^{\ast }}$ rescattering via $K^{\ast }$ exchanges), which evade the naive Okubo-Zweig-Iizuka (OZI) rule, serve as another important contribution to the isospin violations. They are evaluated with effective Lagrangians where explicit constraints 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 $J/\psi ({\psi }^{\prime })\to \omega {\pi }^0$, where we find contributions from the $K\bar{K}(K^{\ast })$, $K\overline{K^{\ast }}(K)$ and $K\overline{K^{\ast }}(K^{\ast })$ loops are negligibly small, and the isospin violation is likely to be dominated by the EM transition.

Revised version resubmitted to PRD; Additional loop contributions included; Conclusion unchanged

References in corpus (5)

• Study on contributions of hadronic loops to decays of $J/\psi \to$ vector $+$ pseudoscalar mesons
• Possibility of measuring a0(980)-f0(980) mixing from J/psi -> phi a0
• Study of electromagnetic decay of $J/\psi$ and ${\psi }^{\prime }$ to vector and pseudoscalar
• On the near-threshold enhancement in $J/\psi \to \gamma X$ with $X\to \omega \varphi$
• A study of the Okubo-Zweig-Iizuka rule violations in ${\eta }_c\to VV$

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• Where are ${\chi }_{cJ}(3P)$?
• Possible contributions to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ due to intermediate meson rescatterings
• Detecting the polarization in ${\chi }_{cJ}\to \varphi \varphi$ decays to probe hadronic loop effect
• Combined study of the isospin-violating decay $D_s^{\ast }\to D_s{\pi }^0$ and radiative decay $D_s^{\ast }\to D_s\gamma$ with intermediate meson loops
• Study of $C$ parity violating and strangeness changing $J/\psi$ $\to$ $PP$ weak decays