Test of distorted wave kinematic coupling approximation calculations for knockout reactions

Journal Article · Sun Jul 01 04:00:00 EDT 1990 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.42.368· OSTI ID:6504710

Jain, A K ^[1]

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1. Nuclear Physics Division, Bhabha Atomic Research Centre, Bombay 400085 (India)

A test has been devised to check the validity of conventional distorted-wave impulse approximation (DWIA) treatment of knockout reactions. The conventional DWIA formalism separates the three-body final state Schroedinger equation for a knockout reaction into two two-body Schroedinger equations by assuming an asymptotic constant value for the three-body coupling term commonly known as the kinematic coupling approximation (KCA). In the test case, which consists of an extreme asymmetric situation where one of the distorting optical potentials is assumed to vanish, the three-body final state Schroedinger equation can be solved exactly as a product of two two-body solutions using one particular set of relative coordinates. Large influence of the three-body coupling term is seen in the comparison of the exact and KCA results for ({alpha},2{alpha}) and ({ital p},{ital p}{alpha}) knockout reactions when the distorting optical potentials are weakly absorbing.

• OSTI ID: 6504710
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 42:1; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA REACTIONS
BARYON REACTIONS
CHARGED-PARTICLE REACTIONS
DIFFERENTIAL EQUATIONS
DIRECT REACTIONS
DISTORTED WAVE THEORY
EQUATIONS
HADRON REACTIONS
IMPULSE APPROXIMATION
KNOCK-OUT REACTIONS
MANY-BODY PROBLEM
NUCLEAR REACTIONS
NUCLEON REACTIONS
OXYGEN 16 TARGET
PARTIAL DIFFERENTIAL EQUATIONS
PROTON REACTIONS
SCHROEDINGER EQUATION
TARGETS
THREE-BODY PROBLEM
WAVE EQUATIONS