Baer-Kouri-Levin-Tobocman and Faddeev equations for the three-body problem with pairwise interactions

Journal Article · Fri Aug 01 04:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.22.422· OSTI ID:5206542

Kouri, D J

We reanalyze the Baer-Kouri-Levin-Tobocman and Faddeev equations for the three-body problem with pairwise interactions. The approach to the Baer-Kouri-Levin-Tobocman equations is more in the spirit of the usual Faddeev equations. The detailed operators which appear as ''effective interactions'' are different from those appearing in earlier forms of the Faddeev equations. It is shown that the same effective interactions appear in both the Baer-Kouri-Levin-Tobocman and Faddeev-type equations. The resulting form of the Baer-Kouri-Levin-Tobocman equations may be more suitable for the approximate treatment of breakup effects than previous forms of these equations.

• Research Organization: Institute for Advanced Studies, Hebrew University of Jerusalem, Jerusalem, Israel
• OSTI ID: 5206542
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 22:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUND STATE
CLUSTER MODEL
DIFFERENTIAL EQUATIONS
EFFECTIVE RANGE THEORY
EQUATIONS
FADDEEV EQUATIONS
HAMILTONIANS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PAIRING INTERACTIONS
QUANTUM OPERATORS
SCATTERING
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
WAVE EQUATIONS