Cluster model in reaction theory
A recent work by Rosenberg on cluster states in reaction theory is reexamined and generalized to include energies above the threshold for breakup into four composite fragments. The problem of elastic scattering between two interacting composite fragments is reduced to an equivalent two-particle problem with an effective potential to be determined by extremum principles. For energies above the threshold for breakup into three or four composite fragments effective few-particle potentials are introduced and the problem is reduced to effective three- and four-particle problems. The equivalent three-particle equation contains effective two- and three-particle potentials. The effective potential in the equivalent four-particle equation has two-, three-, and four-body connected parts and a piece which has two independent two-body connected parts. In the equivalent three-particle problem we show how to include the effect of a weak three-body potential perturbatively. In the equivalent four-body problem an approximate simple calculational scheme is given when one neglects the four-particle potential the effect of which is presumably very small.
- Research Organization:
- Departamento de Fisica, Universidade Federal de Pernambuco, 50 000 Recife, Pe. Brazil
- OSTI ID:
- 6457006
- Journal Information:
- Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 19:2; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUND STATE
BREAKUP REACTIONS
CLUSTER MODEL
ELASTIC SCATTERING
FRAGMENTATION
FUNCTIONS
GREEN FUNCTION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRIX ELEMENTS
NUCLEAR MODELS
NUCLEAR REACTIONS
SCATTERING
WAVE FUNCTIONS