$ω/ϕ\rightarrow 3π,\,πγ^*$的色散分析
Dispersive Analysis of $ω/ϕ\rightarrow 3π,\,πγ^*$
摘要：
衰变$ω/ϕ\rightarrow 3π$被认为是在色散的框架下，是基于等压线分解和子能量么正性。非弹性的贡献是参数化的幂级数在一个适当选择的共形变量，适当占振幅的分析性质。给出了Dalitz图分布和积分衰变宽度。我们的结果表明，最终状态的相互作用可能是相当大的。作为形式主义的进一步应用，我们还计算了$ω/ϕ\rightarrow π^0γ^*$的电磁跃迁形状因子。
英文摘要：
The decays $ω/ϕ\rightarrow 3π$ are considered in the dispersive framework that is based on the isobar decomposition and sub-energy unitarity. The inelastic contributions are parametrized by the power series in a suitably chosen conformal variable that properly accounts for the analytic properties of the amplitude. The Dalitz plot distributions and integrated decay widths are presented. Our results indicate that the final state interactions may be sizable. As a further application of the formalism we also compute the electromagnetic transition form factors of $ω/ϕ\rightarrow π^0γ^*$.
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