Four-nucleon scattering in the K-matrix approach with improved treatment of the (2+2) channels

Journal Article · Thu Aug 01 04:00:00 EDT 1985 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.32.400· OSTI ID:5400490

Sofianos, S A; Fiedeldey, H; Sandhas, W

The cross sections for elastic and rearrangement four-nucleon reactions have been calculated above the breakup threshold in the K-matrix approximation to the Grassberger-Sandhas integral equations. In the first order K-matrix approximation we find that the /sup 2/H(d,p)/sup 3/H and /sup 2/H(d,n)/sup 3/He cross sections at low energies are sensitive to the properties of the nuclear force and to its tensor component even at higher energies. At higher energies good agreement is obtained with experiment, but there is quantitative and qualitative disagreement with the data at lower energies. We also performed K-matrix calculations including the principal value part of the (2+2) propagators by means of the generalized-unitary-pole-expansion/energy-dependent-pole-expansion for the (2+2) subamplitudes. At lower energies this improved the agreement with data in the /sup 2/H(d,n)/sup 3/He reaction considerably, and in the case of p+ /sup 3/He elastic scattering even resulted in a spectacular improvement in the forward direction. The lack of structure in the differential cross section (e.g., absence of a second maximum in the /sup 2/H(d,n)/sup 3/He cross section) persisted, however. This qualitative disagreement is probably mainly due to the omission of the contribution of the p-wave three-body subsystem amplitude in the calculations.

• Research Organization: Physics Department, University of South Africa, Pretoria, 0001, South Africa
• OSTI ID: 5400490
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 32:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651215* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR DISTRIBUTION
BARYONS
BREAKUP REACTIONS
CHARGED PARTICLES
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DEUTERIUM TARGET
DEUTERON REACTIONS
DIFFERENTIAL CROSS SECTIONS
DISTRIBUTION
ELASTIC SCATTERING
ELEMENTARY PARTICLES
EQUATIONS
EVEN-ODD NUCLEI
FERMIONS
FOUR-BODY PROBLEM
HADRONS
HELIUM 3
HELIUM ISOTOPES
INTEGRAL EQUATIONS
ISOTOPES
K MATRIX
LIGHT NUCLEI
MANY-BODY PROBLEM
MATRICES
NEUTRONS
NUCLEAR REACTIONS
NUCLEI
NUCLEONS
P WAVES
PARTIAL WAVES
PROPAGATOR
PROTONS
SCATTERING
STABLE ISOTOPES
TARGETS
TENSOR FORCES
TRITONS
UNITARY POLE APPROXIMATION