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Four-body model of the four-nucleon system. [Phase shift total and differential cross sections, up to 25 MeV, scattering amplitudes]

Technical Report ·
DOI:https://doi.org/10.2172/6797788· OSTI ID:6797788

Using a nonrelativistic field theoretic formalism a soluble model of the four-nucleon system is developed and solved numerically. Two- and three-body scattering proceeds through intermediate quasiparticles and the resulting T-matrices are separable in momentum space and satisfy two- and three-body unitarity. The 2+2 subamplitudes are treated exactly by the convolution method. The resulting four-body equations reduce to single variable integral equations following partial wave decomposition and can be solved numerically by rotation of contour together with matrix inversion. A complete phase shift calculation is performed for the isospin triplet interaction. The differential cross sections for all two-to-two processes initiated by p + /sup 3/He, n + /sup 3/H and d + d are compared with experiment for energies up to 25 MeV in the center of mass. Total elastic and reaction cross sections for the processes initiated by n + /sup 3/H are also calculated and compared with experimental data.

Research Organization:
University of Maryland, College Park, MD
Sponsoring Organization:
USDOE
DOE Contract Number:
EY-76-S-05-5126
OSTI ID:
6797788
Report Number(s):
ORO-5126-39
Country of Publication:
United States
Language:
English

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Related Subjects

651215* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DEUTERIUM TARGET
DEUTERON REACTIONS
DIFFERENTIAL CROSS SECTIONS
ELASTIC SCATTERING
ENERGY RANGE
EQUATIONS
FIELD THEORIES
FOUR-BODY PROBLEM
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
HELIUM 3 TARGET
INTEGRAL EQUATIONS
INTERACTIONS
LINEAR MOMENTUM
MANY-BODY PROBLEM
MATHEMATICAL SPACE
MATRICES
MEV RANGE
MEV RANGE 10-100
NEUTRON REACTIONS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUCLEON-NUCLEON INTERACTIONS
NUMERICAL SOLUTION
PARTIAL WAVES
PARTICLE INTERACTIONS
PHASE SHIFT
PROTON REACTIONS
S MATRIX
SCATTERING
SCATTERING AMPLITUDES
SPACE
TARGETS
THREE-BODY PROBLEM
TOTAL CROSS SECTIONS
TRITIUM TARGET
TWO-BODY PROBLEM
UNITARITY