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arXiv 0705.0565hep-ph
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夸克模型中q ^3态耦合的重子-介子散射中的λ(1405)共振

Lambda(1405) as a Resonance in the Baryon-Meson Scattering Coupled to the q^3 State in a Quark Model

Sachiko Takeuchi, Kiyotaka Shimizu

摘要:

为了把λ(1405)描述为重子-介子散射中的共振,我们研究了具有味单重态q^3(0 s)^2(0 p)(λ ^1极)的q^3-qbar散射系统。散射用夸克集团模型(QCM)处理。λ ^1极点被视为嵌入连续介质中的束缚态。我们发现,在自旋为1/2、同位旋为0的通道中,即使λ ^1极的质量高于阈值,峰值也会出现在N Kbar阈值以下。当与λ ^1极的耦合被切断时,该峰值消失。在QCM的动力学部分中使用所观察到的强子质量也被发现对于再现刚好低于N Kbar阈值的峰值是重要的。

英文摘要:

In order to describe Lambda(1405) as a resonance in the baryon-meson scattering, we have investigated q^3-q qbar scattering system with the flavor-singlet q^3 (0s)^2(0p) state (the Lambda^1 pole). The scattering is treated by the quark cluster model (QCM). The Lambda^1 pole is treated as a bound state embedded in the continuum. We found that the peak appears below the N Kbar threshold in the spin one half, isospin 0 channel even if the mass of the Lambda^1 pole is above the threshold. This peak disappears when the coupling to the Lambda^1 pole is switched off. To use the observed hadron mass in the kinetic part of QCM is also found to be important to reproduce a peak just below the N Kbar threshold.

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