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Wave-function formalisms in the channel coupling array theory of many-body scattering

Journal Article · · Phys. Rev., C; (United States)

Wave-function formalisms corresponding to different channel coupling array transition operators of many-body scattering theory are derived and discussed. The Kouri-Levin transition operators are seen to be in typical Lippmann-Schwinger form and allow for the introduction of wave-function components in a particularly straightforward way. The Baer-Kouri transition operators are not in the Lippmann-Schwinger form and an alternate procedure is used to derive their corresponding wave-function components. In the three-body case, the Kouri-Levin operators T/sub j/k obtained from the Faddeev-Lovelace choice of channel coupling array are seen to lead to precisely the Faddeev wave-function components. The Baer-Kouri operators are shown to lead to wave-function components obeying inhomogeneous equations. These inhomogeneous equations are used to give an alternate explanation of the nonunitary amplitudes obtained in recent calculations based on approximate forms of the Baer-Kouri operators.

Research Organization:
Physikalisches Institut der Universitaet Bonn, D 5300, Bonn, West Germany
OSTI ID:
5455690
Journal Information:
Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 21:6; ISSN PRVCA
Country of Publication:
United States
Language:
English

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Related Subjects

645400 -- High Energy Physics-- Field Theory
653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BANACH SPACE
BINDING ENERGY
BOUND STATE
COUPLED CHANNEL THEORY
DIFFERENTIAL EQUATIONS
EIGENSTATES
ENERGY
EQUATIONS
FUNCTIONS
GREEN FUNCTION
HAMILTONIANS
HILBERT SPACE
INTEGRAL EQUATIONS
KINETIC ENERGY
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRIX ELEMENTS
NUMERICAL SOLUTION
QUANTUM OPERATORS
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
SPACE
THREE-BODY PROBLEM
WAVE EQUATIONS
WAVE FUNCTIONS