Comparison between the-Matrix and Eigenchannel Methods
- 20 June 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 170 (4), 847-856
- https://doi.org/10.1103/physrev.170.847
Abstract
The -matrix and eigenchannel methods for the calculation of the matrix are investigated from the point of view of their range of validity and accuracy. It is shown that no serious difficulty arises in the -matrix method provided negative boundary-condition parameters are used. Because the space of functions within which the Hamiltonian is diagonalized depends upon the eigenphases, and because of the occurrence of positive boundary-condition parameters, serious difficulties arise in the eigenchannel approach. In particular, the calculated cross sections may exhibit spurious resonance peaks.
Keywords
This publication has 21 references indexed in Scilit:
- A shell-model calculation in the continuum for the reaction N15(n, n?) N15The European Physical Journal A, 1967
- Nuclear-spectroscopy calculations including continuum states and application to the giant resonance of 16ONuclear Physics A, 1967
- Solution of Coupled Equations by-Matrix TechniquesPhysical Review B, 1967
- Treatment of the continuum-continuum interaction in the shell-model approach to nuclear reactionsNuclear Physics A, 1967
- Eigenchannel Theory of Nuclear ReactionsPhysical Review B, 1966
- Configuration mixing in the continuum and nuclear reactions.-IPhysics Letters, 1965
- Antisymmetrization of a unified nuclear reaction theoryNuclear Physics, 1964
- Resonance reactions and the nuclear shell model IAnnals of Physics, 1964
- Unified theory of nuclear reactionsAnnals of Physics, 1958
- R-Matrix Theory of Nuclear ReactionsReviews of Modern Physics, 1958