Effective two-body equations for the four-body problem with exact treatment of (2+2)-subsystem contributions

Journal Article · Sat Aug 01 04:00:00 EDT 1981 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.24.359· OSTI ID:6451420

Haberzettl, H; Sandhas, W

Effective two-body equations for the four-body problem are derived within the general N-body theory of Alt, Grassberger, and Sandhas. In contrast to usual treatments, the final expressions do not require separable (2+2) subamplitudes but incorporate these exactly. All four-body amplitudes can be calculated from the solution of a single integral equation for the reaction (3+1)..-->..(3+1). With single-term separable approximations for the two-particle and the (3+1) subsystem amplitudes the driving terms of the final equations are seen to reduce to those of the field-theoretical model by Fonseca and Shanley. Since our results are based on an exact and complete N-body theory, the investigation of subsystem reaction mechanisms is facilitated. As a consequence, we are led to a three-particle propagator which has the right pole behavior and includes exchange effects.

• Research Organization: Physikalisches Institut der Universitaet Bonn, D-5300 Bonn 1, West Germany
• OSTI ID: 6451420
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 24:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EQUATIONS
FADDEEV EQUATIONS
FIELD THEORIES
FOUR-BODY PROBLEM
INTEGRAL EQUATIONS
MANY-BODY PROBLEM
PROPAGATOR
THREE-BODY PROBLEM