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arXiv 0706.0384hep-ph
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通过强子环研究$ϕ, J/ψ, ψ^\prime \to ωπ^0$的同位旋破坏

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

Gang Li, Qiang Zhao, Bing-Song Zou

摘要:

在这项工作中,我们研究了$ϕ\to ωπ^0$的同位旋破坏衰变,并量化了电磁(EM)跃迁和中间介子交换作为两个主要来源的衰变机制。在EM衰变中,目前的数据状态允许对矢量介子优势(VMD)模型中的EM衰变形状因子进行很好的约束,结果表明EM跃迁只能解释$ϕ\to ωπ^0$分支比的大约$1/4\sim 1/3$.中间介子交换,$K\bar{K}(K^*)$(通过$K^*$交换的中间$K\bar{K}$相互作用),$K\bar{K^*}(K)$(通过K介子交换的中间$K\bar{K^*}$再散射)和$K\bar{K^*}(K^*)$(通过$K^*$交换的中间$K\bar{K^*}$再散射),避开了朴素的Okubo-Zweig-Iizuka(OZI)规则,是对同位旋破坏的另一个重要贡献。他们进行了评估,有效的拉格朗日显式约束,从实验中可以应用。结合这三个贡献,我们得到的结果与实验数据吻合得很好。这种方法也被扩展到$J/ψ(ψ^\prime)\to ωπ^0$,我们发现从$K\bar{K}(K^*)$,$K\bar{K^*}(K)$和$K\bar{K^*}(K^*)$环的贡献是可以忽略不计的小,和同位旋破坏可能是占主导地位的EM跃迁。

英文摘要:

In 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.

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