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Author Agodi, A. ♦ Eberle, E.
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ♦ BREIT-WIGNER FORMULA ♦ CONFIGURATION ♦ CROSS SECTIONS ♦ DIFFERENTIAL EQUATIONS ♦ DISPERSIONS ♦ ENERGY LEVELS ♦ FIELD THEORY ♦ HAMILTONIAN ♦ INTERACTIONS ♦ MATHEMATICS ♦ MATRICES ♦ NUCLEAR MODELS ♦ NUCLEAR REACTIONS ♦ NUCLEAR THEORY ♦ NUCLEI ♦ NUCLEONS ♦ OPTICAL MODEL ♦ RESONANCE ♦ SCATTERING ♦ SURFACES
Abstract A new dispersion theory of nuclear reactions is presented which is a generalization of the existing ones. The theory is centered around the possibility of defining a class of problems equivalent to the original scattering problem in the sense that their solutions all determine the same transition matrix elements. These equivalent problems are generated by suitably projecting the original one on a subspace of the linear space spanned by the continuum eigenstates of the total hamiltonian, containing the initial and final channel states. A derivation of the Breit-Wigner formula analogous to Feshbach's can be given in the theory, independently of any configuration space representation. The direct processes are then defined by performing the energy average on the transition matrix elements, so that the contributions from the long- lived''compound'' states are lost. In the case of nucleon-nucleus scattering, this is shown to give an alternative definition of the optical model quite analogous to the conventional ones though perhaps more accessible to a field theoretical analysis. Moreover it is shown that the well-known surface contributions to direct reactions can be isolated quite naturally in the formalism from the other direct contributions.
ISSN 00296341
Educational Use Research
Learning Resource Type Article
Publisher Date 1960-11-01
Publisher Department Universita, Catania, Italy ♦ Centro Siciliano di Fisica Nucleare, Catania, Italy
Journal Nuovo Cimento
Volume Number 18
Issue Number 4
Organization Universita, Catania, Italy ♦ Centro Siciliano di Fisica Nucleare, Catania, Italy


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