Physics – Mathematical Physics
Scientific paper
1999-10-03
Physics
Mathematical Physics
Revtex, 57 pages including 15 figures; to be published in Annals of Physics
Scientific paper
10.1006/aphy.1999.5992
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 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. P-matrix is used also for formulation of the method of treating Coulomb asymptotics in the scattering theory in oscillator representation.
Bang J. M.
Mazur A. I.
Shirokov Andrey M.
Smirnov Yu. F.
Zaytsev S. A.
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