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arXiv 1504.02557hep-phhep-exnucl-th
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$D^+\to K^- π^+π^+$衰减的耦合通道分析

Coupled-channel analysis of $D^+\to K^- π^+π^+$ decay

Satoshi X. Nakamura

摘要:

我们对D+-> K-pi+pi+ Dalitz图的伪数据进行耦合通道分析。伪数据是由E791合作组织的等压线模型产生的,并且是合理的现实。我们证明了在耦合道框架下分析高质量的数据是可行的,该框架将D ~+-> K-pi+pi ~+的末态相互作用描述为三个赝标介子通过两个赝标介子相互作用的多重重散射,符合二体和三体么正性。两赝标介子相互作用被设计成再现经验π π和π棒K散射振幅。此外,我们还包括超越两体相互作用的简单迭代的机制,即,一个三介子力,来自隐藏的局部对称模型。我们的耦合通道模型所描述的D ~+-> K-pi+pi ~+中的强子动力学图象与以往的等压线分析结果有很大的不同。例如,我们发现当再散射机制被打开时,D+-> K-pi+pi+的衰减宽度几乎可以达到三倍,其中与rho(770)bar K 0通道相关的再散射机制,仅通过通道耦合对D+-> K-pi+pi+有贡献,提供了很大的贡献,并显着提高了拟合的质量。从我们的分析中得到的K-pi+ s波振幅与从E791模型独立分波分析中提取的振幅相当一致;强子再散射和与rho(770)bar K 0通道的耦合在这里起着主要作用。我们还发现,打扮的D+衰变顶点的相位,诱导的强再散射,强烈依赖于最后的赝标介子的动量。虽然传统的等压线型分析假设相位是恒定的,但这种常见的假设并不被我们更微观的观点所支持。

英文摘要:

We perform a coupled-channel analysis of pseudodata for the D+-> K-pi+pi+ Dalitz plot. The pseudodata are generated from the isobar model of the E791 Collaboration, and are reasonably realistic. We demonstrate that it is feasible to analyze the high-quality data within a coupled-channel framework that describes the final state interaction of D+-> K-pi+pi+ as multiple rescatterings of three pseudoscalar mesons through two-pseudoscalar-meson interactions in accordance with the two-body and three-body unitarity. The two-pseudoscalar-meson interactions are designed to reproduce empirical pi pi and pi bar K scattering amplitudes. Furthermore, we also include mechanisms that are beyond simple iterations of the two-body interactions, i.e., a three-meson force, derived from the hidden local symmetry model. A picture of hadronic dynamics in D+-> K-pi+pi+ described by our coupled-channel model is found to be quite different from those of the previous isobar-type analyses. For example, we find that the D+-> K-pi+pi+ decay width can get almost triplicated when the rescattering mechanisms are turned on. Among the rescattering mechanisms, those associated with the rho(770) bar K0 channel, which contribute to D+-> K-pi+pi+ only through a channel coupling, give a large contribution, and significantly improve the quality of the fits. The K-pi+ s-wave amplitude from our analysis is reasonably consistent with those extracted from the E791 model independent partial-wave analysis; the hadronic rescattering and the coupling to the rho(770) bar K0 channel play a major role here. We also find that the dressed D+ decay vertices have phases, induced by the strong rescatterings, that strongly depend on the momenta of the final pseudoscalar mesons. Although the conventional isobar-type analyses have assumed the phases to be constant, this common assumption is not supported by our more microscopic viewpoint.

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