Separable potential approach in folding model

Thesis/Dissertation · Mon Jan 01 00:00:00 EST 1979

OSTI ID:6245532

Lee, C L

The elastic scattering of the n-/sup 4/He system is studied as a two-body problem, via a folding model using separable potentials. The two-body effective potential between the nucleon and the /sup 4/He nucleus is generated by folding in an effective separable N-N potential with the nucleonic distribution of the nucleus. Full advantage of the mathematical convenience of separable potentials is taken in both the folding procedure and the scattering solution. Separability can be retained throughout the calculations from the two-nucleon phenomenological potential all the way to the derived optical potential for the n-/sup 4/He system, even when the single nucleon knockout exchange term is included. The folding formalism involves coordinate transformations using oscillator basis and the Talmi-Moshinsky method for unequal masses. A numerical method based on the Bloch L-operator, the plane-wave expansion of the wave function by Robson and Koshel, and a matrix-inversion technique is developed to evaluate the phase shifts for s/sub 1/2/, p/sub 1/2/ and p/sub 3/2/ of the n-/sup 4/He elastic scattering. The results are qualitatively good when a simple G-matrix concept is introduced. Two free parameters are needed for the three scattering states considered. Our results show that, indeed, the free N-N interaction alone will not work and an effective two-body interaction is necessary in the folding calculations.

• Research Organization: Florida State Univ., Tallahassee (USA)
• OSTI ID: 6245532
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
HELIUM 4 TARGET
NEUTRON REACTIONS
ELASTIC SCATTERING
G MATRIX
NUCLEON-NUCLEON POTENTIAL
NUMERICAL SOLUTION
PHASE SHIFT
TWO-BODY PROBLEM
BARYON REACTIONS
HADRON REACTIONS
MANY-BODY PROBLEM
MATRICES
NUCLEAR REACTIONS
NUCLEON REACTIONS
POTENTIALS
SCATTERING
TARGETS
651215* - Nuclear Properties & Reactions
A=1-5
Theoretical- Nuclear Reactions & Scattering- (-1987)