Unified theory of rearrangement scattering

Journal Article · Fri Jan 01 04:00:00 EST 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.25.446· OSTI ID:5726815

Greben, J M

We present a unified microscopic theory of rearrangement scattering which satisfies the Pauli principle. The equations for the transition amplitudes and wave functions are reduced to effective two-body equations with the complexity put into the distortion potentials and the transition potentials. The central theme in the development of this theory is the importance of elastic scattering in initial and final channel, although this is not a prerequisite for its validity as the theory is exact. The elastic degrees of freedom are absorbed into the distorted waves using projection techniques in combination with the Faddeev formulation. The resulting transition amplitude can be expanded in the transition potential, leading to a modified coupled channel series. The transition potential, which has a constructive nature (i.e., no counter terms), can also be expanded. We provide arguments for the convergence of both expansions. Various contributions to the transition potential are discussed, and we put special emphasis on a rescattering term which has not been considered before in the context of coupled channel equations. Various inconsistence which may hamper standard coupled channel calculations are discussed as well.

• Research Organization: Triumf, 4004 Wesbrook Mall, Vancouver, British Columbia, Canada V6T 2A3
• OSTI ID: 5726815
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 25:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BORN APPROXIMATION
COUPLED CHANNEL THEORY
DWBA
FUNCTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEAR MODELS
OPTICAL MODELS
PAULI PRINCIPLE
SCATTERING
TWO-BODY PROBLEM
UNIFIED MODEL
WAVE FUNCTIONS