Wave-function formalisms in the channel coupling array theory of many-body scattering
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), Vol. 21:6
- Country of Publication:
- United States
- Language:
- English
Similar Records
Arrangement-channel quantum mechanics: A general time-dependent formalism for multiparticle scattering. [Coupled-channel array theory, matrix elements, real eigenvalues]
Scattering integral equations for distorted transition operators
Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MANY-BODY PROBLEM
SCATTERING AMPLITUDES
WAVE FUNCTIONS
BINDING ENERGY
BOUND STATE
COUPLED CHANNEL THEORY
EIGENSTATES
GREEN FUNCTION
HAMILTONIANS
HILBERT SPACE
KINETIC ENERGY
LIPPMANN-SCHWINGER EQUATION
MATRIX ELEMENTS
NUMERICAL SOLUTION
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
AMPLITUDES
BANACH SPACE
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
FUNCTIONS
INTEGRAL EQUATIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
QUANTUM OPERATORS
SPACE
WAVE EQUATIONS
653003* - Nuclear Theory- Nuclear Reactions & Scattering
645400 - High Energy Physics- Field Theory