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首页> 外文期刊>Nuclear Physics, A: Journal Devoted to the Experimental Study of the Fundamental Constituents of Matter and Their Actions >CHAOTIC SCATTERING - THE SUPERSYMMETRY METHOD FOR LARGE NUMBER OF CHANNELS
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CHAOTIC SCATTERING - THE SUPERSYMMETRY METHOD FOR LARGE NUMBER OF CHANNELS

机译：混沌散射-大量通道的超对称方法

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We investigate a model of chaotic resonance scattering based on the random matrix approach. The hermitian part of the effective hamiltonian of resonance states is taken from the GOE whereas the amplitudes of coupling to decay channels are considered both random or fixed. A new version of the supersymmetry method is worked out to determine analytically the distribution of poles of the S-matrix in the complex energy plane as well as the mean value and two-point correlation function of its elements when the number of channels scales with the number of resonance states. Analytical formulae are compared with numerical simulations. All results obtained coincide in both models provided that the ratio rn of the numbers of channels and resonances is small enough and remain qualitatively similar for larger values of m. The relation between the pole distribution and the fluctuations in scattering is discussed. It is shown in particular that the clouds of poles of the S-matrix in the complex energy plane are separated from the real axis by a finite gap Gamma(g) which determines the correlation length in the scattering fluctuations and leads to the exponential asymptotics of the decay law of a complicated intermediate state. [References: 43]
机译：我们研究基于随机矩阵方法的混沌共振散射模型。共振状态的有效哈密顿量的厄米特部分取自GOE，而耦合到衰减通道的振幅被认为是随机的或固定的。提出了一种新的超对称方法，可以分析地确定S矩阵的极点在复能平面中的分布，以及当通道数与S呈比例关系时其元素的均值和两点相关函数。共振状态数。将分析公式与数值模拟进行比较。只要通道数和共振数之比rn足够小，并且对于较大的m值在质量上保持相似，则在两个模型中获得的所有结果都是一致的。讨论了极点分布与散射波动之间的关系。特别表明，S矩阵的极点云在复能平面中与实轴之间有一个有限的间隙Gamma（g），该间隙确定了散射波动中的相关长度，并导致了指数渐近性。复杂的中间状态的衰减定律。 [参考：43]

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