THE INFLUENCE OF FINITE MASSES ON THE THRESHOLD BEHAVIOR OF SCATTERING IN A 3 CHARGED-PARTICLE SYSTEM
THE INFLUENCE OF FINITE MASSES ON THE THRESHOLD BEHAVIOR OF SCATTERING IN A 3 CHARGED-PARTICLE SYSTEM
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DOI：
10.1088/0022-3700/15/19/012
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发表时间：
1982-01-01
影响因子：
1.6
通讯作者：
GAILITIS, M
中科院分区：
文献类型：
--
作者：
GAILITIS, M
由于两粒子库仑问题中能级的简并，新通道中的激发截面在阈值以上仍然是有限的。在阈值以下有一系列按照几何级数定律分布的共振。对于一个复特征值的情形，在阈值附近的S矩阵元素连续地在复平面上跟踪圆：一个圆在阈值以下，另一个在阈值之上。研究了该圆的性质。在任意阈值和任意质量下，得到了弹性散射振幅与激发态的对数角度关系。
Excitation cross sections in new channels remain finite above threshold because of the degeneracy of the levels in the two-particle Coulomb problem. Below the thresholds there are series of resonances distributed according to the geometrical progression law. In cases with one complex eigenvalue lambda, the S-matrix elements in the vicinity of the threshold continuously trace circles on a complex plane: one circle below the threshold, the other above. The properties of the circle are investigated. The logarithmic angular dependence is obtained for the elastic scattering amplitude on excited states at any threshold and for any mass.