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arXiv 1002.3688nucl-th
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作为动态产生的共振的λ(1670)和两个λ(1405)的螺旋振幅

Helicity Amplitudes of the Lambda(1670) and two Lambda(1405) as dynamically generated resonances

M. Doring, D. Jido, E. Oset

摘要:

我们确定了从λ(1670)到γ Y(Y= λ或Σ ^0)跃迁的螺旋度振幅A_1/2和辐射衰减宽度。在介子-重子手征动力学中,λ(1670)被看作是一种动力学产生的共振。我们得到了λ(1670)到γ λ的辐射衰减宽度为3 \pm 2 keV,到γ Σ ^0的辐射衰减宽度为120 \pm 50 keV。此外,还计算了螺旋度振幅A_1/2与Q^2的关系。我们发现,λ(1670)结构中的KXi分量,主要负责这种共振的动力学产生,也是负责对衰变比Gamma_{gamma Lambda} / Gamma_{gamma Sigma^0}的显著抑制。因此,对这个比率的测量将提供对λ(1670)性质的直接访问。为了比较Lambda(1670)的结果,我们计算了Lambda(1405)的两个状态的螺旋度振幅A_1/2。此外,更复杂的循环振幅的费曼参数化积分的解析延拓复平面的发展,允许内部一致的评估A_1/2。

英文摘要:

We determine the helicity amplitudes A_1/2 and radiative decay widths in the transition Lambda(1670) to gamma Y (Y=Lambda or Sigma^0). The Lambda(1670) is treated as a dynamically generated resonance in meson-baryon chiral dynamics. We obtain the radiative decay widths of the Lambda(1670) to gamma Lambda as 3 \pm 2 keV and to gamma Sigma^0 as 120 \pm 50 keV. Also, the Q^2 dependence of the helicity amplitudes A_1/2 is calculated. We find that the K Xi component in the Lambda(1670) structure, mainly responsible for the dynamical generation of this resonance, is also responsible for the significant suppression of the decay ratio Gamma_{gamma Lambda}/Gamma_{gamma Sigma^0}. A measurement of the ratio would, thus, provide direct access to the nature of the Lambda(1670). To compare the result for the Lambda(1670), we calculate the helicity amplitudes A_1/2 for the two states of the Lambda(1405). Also, the analytic continuation of Feynman parameterized integrals of more complicated loop amplitudes to the complex plane is developed which allows for an internally consistent evaluation of A_1/2.

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