Isospin violation in $ϕ, J/ψ, ψ^\prime \to ωπ^0$ via hadronic loops

dc.creatorLi, Gang
dc.creatorZhao, Qiang
dc.creatorZou, Bing-Song
dc.date2007-06-04
dc.date2007-10-26
dc.date.accessioned2026-07-07T11:16:35Z
dc.date.available2026-07-07T11:16:35Z
dc.descriptionIn this work, we study the isospin-violating decay of $ϕ\to ωπ^0$ 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 $ϕ\to ωπ^0$. The intermediate meson exchanges, $K\bar{K}(K^*)$ (intermediate $K\bar{K}$ interaction via $K^*$ exchanges), $K\bar{K^*}(K)$ (intermediate $K\bar{K^*}$ rescattering via kaon exchanges), and $K\bar{K^*}(K^*)$ (intermediate $K\bar{K^*}$ rescattering via $K^*$ 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 $J/ψ(ψ^\prime)\to ωπ^0$, where we find contributions from the $K\bar{K}(K^*)$, $K\bar{K^*}(K)$ and $K\bar{K^*}(K^*)$ loops are negligibly small, and the isospin violation is likely to be dominated by the EM transition.
dc.descriptionRevised version resubmitted to PRD; Additional loop contributions included; Conclusion unchanged
dc.identifierhttps://arxiv.org/abs/0706.0384
dc.identifierhttp://arxiv.org/abs/0706.0384
dc.identifierPhys.Rev.D77:014010,2008
dc.identifierdoi:10.1103/PhysRevD.77.014010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192722
dc.subjectHigh Energy Physics - Phenomenology
dc.titleIsospin violation in $ϕ, J/ψ, ψ^\prime \to ωπ^0$ via hadronic loops
dc.typetext

Files

Collections