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arXiv 1609.01568hep-ph
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$B^+\to K^-π^+π^+$:三体末态相互作用和$Kπ$同位旋态

$B^+\to K^-π^+π^+$: three-body final state interactions and $Kπ$ isospin states

J. H. Alvarenga Nogueira, T. Frederico, O. Lourenço

摘要:

末态相互作用被认为是制定的$B$介子衰变幅度的$Kππ$通道。Faddeev分解的Bethe-Salpeter方程是为了建立一个相对论性的三体模型内的光阵面框架。在$1/2$和$3/2$的同位旋通道中,用微扰法求解了$Kπ$系统的S波散射振幅。在与以前的结果相比,$D$介子衰变在同一个通道中,人们必须考虑不同的部分子过程,建立源振幅,更大的吸收到其他衰变通道出现,这是重要的功能,要解决。在$D$衰变的情况下,收敛的再散射微扰级数也实现了两个回路的贡献。

英文摘要:

Final state interactions are considered to formulate the $B$ meson decay amplitude for the $Kππ$ channel. The Faddeev decomposition of the Bethe-Salpeter equation is used in order to build a relativistic three-body model within the light-front framework. The S-wave scattering amplitude for the $Kπ$ system is considered in the $1/2$ and $3/2$ isospin channels with the set of inhomogeneous integral equations solved perturbatively. In comparison with previous results for the $D$ meson decay in the same channel, one has to consider the different partonic processes, which build the source amplitudes, and the larger absorption to other decay channels appears, that are important features to be addressed. As in the $D$ decay case, the convergence of the rescattering perturbative series is also achieved with two-loop contributions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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