Comprehensive Formalism for Nuclear-Reaction Problems. III. Calculable Theories with Systematic "Discretization"
- 20 September 1969
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 185 (4), 1403-1415
- https://doi.org/10.1103/physrev.185.1403
Abstract
The comprehensive formalism of earlier papers is specialized in the direction of calculable theories of nuclear reactions especially those based on the shell model such as that of Bloch and Fano. Unlike the basis states used in previous specialization, the shell-model states do not, in general, have the property that () is Hermitian. We show that this complication is no real obstacle, and that only a weaker Hermiticity condition is needed. The final result is a number of forms of calculable theories of the -matrix kind. No continuum-continuum interaction problems exist, since continua do not occur. This and other merits of the results are discussed from the viewpoint of practical calculations.
Keywords
This publication has 26 references indexed in Scilit:
- Extended-Matrix Theory of Nuclear ReactionsPhysical Review B, 1968
- Comparison between the-Matrix and Eigenchannel MethodsPhysical Review B, 1968
- Relation between Lippmann-Schwinger and Bloch scattering theoriesPhysics Letters B, 1967
- Resonance scattering theoryProceedings of the Physical Society, 1964
- Photonuclear reactions in a unified theoryNuclear Physics, 1964
- Antisymmetrization of a unified nuclear reaction theoryNuclear Physics, 1964
- A unified nuclear reaction theory for phenomenological analysesNuclear Physics, 1964
- Unified theory of nuclear reactionsAnnals of Physics, 1958
- The Optical Model at Low Energies and Dispersion TheoryProceedings of the Physical Society, 1958
- Une formulation unifiée de la théorie des réactions nucléairesNuclear Physics, 1957