用Berggren基计算耦合通道问题的影极
Shadow poles in a coupled-channel problem calculated with Berggren basis
摘要：
在耦合通道模型中，散射S矩阵的极点位于不同的黎曼面上。物理观测量主要受离物理区域最近的极点的影响，但有时阴影极点也有相当大的影响。本文的目的是表明，在耦合通道问题的所有极点的S-矩阵可以计算适当构造的复能量基。Berggren基用于扩展耦合通道解。计算了S-矩阵的极点位置，并与一个精确可解的耦合通道问题：Cox势问题进行了比较。我们表明，适当选择的Berggren基极点的S-矩阵，包括阴影的可以确定。
英文摘要：
In coupled-channel models the poles of the scattering S-matrix are located on different Riemann sheets. Physical observables are affected mainly by poles closest to the physical region but sometimes shadow poles have considerable effect, too. The purpose of this paper is to show that in coupled-channel problem all poles of the S-matrix can be calculated with properly constructed complex-energy basis. The Berggren basis is used for expanding the coupled-channel solutions. The location of the poles of the S-matrix were calculated and compared with an exactly solvable coupled-channel problem: the one with the Cox potential. We show that with appropriately chosen Berggren basis poles of the S-matrix including the shadow ones can be determined.
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