Partial Decay Widths in Coupled-Channel Systems with the Complex-Scaled Jost Function Method

Abstract

Partial decay widths of resonant states in a coupled-channel system are studied by using the complex-scaled Jost function method (CSJFM). With CSJFM, we use the ratio of the S-matrices to calculate partial decay widths, and then we need not introduce any “channel radius”, which is used in standard scattering theory. Combining the Jost function method (JFM) and the complex scaling method (CSM), we can easily obtain many resonant states even for a large total width and partial decay widths simultaneously. Several methods to calculate partial decay widths in CSM are also discussed and are shown to give the same values in CSJFM.