P-Matrix and J-Matrix Approaches: Coulomb Asymptotics in the Harmonic Oscillator Representation of Scattering Theory |
| |
| Authors: | J M Bang A I Mazur A M Shirokov Yu F Smirnov S A Zaytsev |
| |
| Institution: | a Niels Bohr Institutet, Københavns Universitet, Blegdamsvej 17, DK-2100, København Ø Denmark;b Department of Physics, Khabarovsk State Technical University, Tikhookeanskaya 136, Khabarovsk, 680035, Russia;c Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119899, Russia;d International Institute of Theoretical and Applied Physics, Iowa State University, Ames, Iowa, 50011;e Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México, D.F. 04510, México |
| |
| Abstract: | The relation between the R- and P-matrix approaches and the harmonic oscillator representation of the quantum scattering theory (J-matrix method) is discussed. We construct a discrete analogue of the P-matrix that is shown to be equivalent to the usual P-matrix in the quasiclassical limit. A definition of the natural channel radius is introduced. As a result, it is shown to be possible to use a well-developed technique of R- and P-matrix theory for calculation of resonant states characteristics, scattering phase shifts, etc., in the approaches based on harmonic oscillator expansions, e.g., in nuclear shell-model calculations. The P-matrix is used also for formulation of the method of treating Coulomb asymptotics in the scattering theory in oscillator representation. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
