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arXiv 1408.0118nucl-thhep-ph
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$K^-d\rightarrow πΣn$反应和$Λ(1405)$的结构

$K^-d\rightarrow πΣn$ reactions and structure of the $Λ(1405)$

Shota Ohnishi, Yoichi Ikeda, Tetsuo Hyodo, Emiko Hiyama, Wolfram Weise

摘要:

我们报告的第一个完整的三体计算的$\bar{K}NN$ - $πYN$振幅的$K^-d\rightarrowπΣn$反应的结果,并研究如何$Λ(1405)$共振体现在$K^-d\rightarrowπΣn$反应的中子能量分布。使用$\bar{K}NN$ - $πYN$耦合通道Alt-Grassberger-Sandhas(AGS)方程计算振幅。考虑了两体介子-重子相互作用的两种模型:能量无关的相互作用和能量相关的相互作用,这两种模型都是由首阶手征SU(3)拉格朗日量导出的。这两个模型具有不同的离壳层性质,导致相应的不同行为的三体系统。结果表明,反映$Λ(1405)$质量分布和宽度的中子能谱对所用的(能量依赖或能量无关)模型有很强的依赖性。因此,$πΣ$质量分布的精确测量具有区分在$Λ(1405)$形成中起作用的可能机制的潜力。

英文摘要:

We report on the first results of a full three-body calculation of the $\bar{K}NN$-$πYN$ amplitude for the $K^-d\rightarrowπΣn$ reaction, and examine how the $Λ(1405)$ resonance manifests itself in the neutron energy distributions of $K^-d\rightarrowπΣn$ reactions. The amplitudes are computed using the $\bar{K}NN$-$πYN$ coupled-channels Alt-Grassberger-Sandhas (AGS) equations. Two types of models are considered for the two-body meson-baryon interactions: an energy-independent interaction and an energy-dependent one, both derived from the leading order chiral SU(3) Lagrangian. These two models have different off-shell properties that cause correspondingly different behaviors in the three-body system. As a remarkable result of this investigation, it is found that the neutron energy spectrum, reflecting the $Λ(1405)$ mass distribution and width, depends quite sensitively on the (energy-dependent or energy-independent) model used. Hence accurate measurements of the $πΣ$ mass distribution have the potential to discriminate between possible mechanisms at work in the formation of the $Λ(1405)$.

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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