Soluble model involving four identical particles
By use of a nonrelativistic field theoretic formalism, a soluble model of scattering involving four identical spinless particles is developed and solved numerically. In addition to the elementary ''nucleon'' (the n), two composite particles meant to approximate the deuteron and triton are introduced with the couplings d--n + n and t--d + n. By consistently excluding all particle-exchange contributions to the three-body sector, four-body integral equations are obtained for the two-to-two processes: nt ..-->.. nt, nt ..-->.. dd as well as for dd ..-->.. dd and dd ..-->.. nt. Numerical solutions of the equations are found to satisfy unitarity constraints above the two-, three-, and four-body thresholds. The positions of the four-body bound states are obtained and a complete phase shift calculation is performed. The sum of the total three- and four-body breakup cross sections predicted by the model are displayed as a function of energy, and the angular distributions for all 2 ..-->.. 2 reactions are compared with the four-nucleon data. (AIP)
- Research Organization:
- Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556
- OSTI ID:
- 7147365
- Journal Information:
- Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 14:4; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
A=1-5
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON REACTIONS
BOUND STATE
CHARGED PARTICLES
CHARGED-PARTICLE REACTIONS
COUPLING
CROSS SECTIONS
DEUTERIUM TARGET
DEUTERON REACTIONS
DEUTERONS
DIRECT REACTIONS
ELASTIC SCATTERING
FIELD THEORIES
FOUR-BODY PROBLEM
HADRON REACTIONS
MANY-BODY PROBLEM
NEUTRON REACTIONS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUMERICAL SOLUTION
ONE-NUCLEON TRANSFER REACTIONS
PICKUP REACTIONS
SCATTERING
STRIPPING
TARGETS
TRANSFER REACTIONS
TRITONS
UNITARITY