Integro-differential equation approach. III. Triton and. alpha. -particle bound states. Realistic forces and two-body correlations

Journal Article · Mon Jul 01 04:00:00 EDT 1991 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.44.81· OSTI ID:5536712

Oehm, W; Fiedeldey, H; Sofianos, S A ^[1]

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1. Physikalisches Institut, Universitaet Bonn, 5300 Bonn 1, West Germany (DE) Physics Department, University of South Africa, P.O. Box 392, Pretoria, 0001, (South Africa)

Four-nucleon binding energies and Faddeev amplitudes are calculated in the integro-differential equation approach, which neglects all {ital N}-body correlations with {ital N}{ge}3, for realistic forces in the three-channel approximation. Good agreement is obtained with corresponding results recently obtained by means of the Faddeev-Yakubovsky equations. Thereby, the dominance of two-body correlations, even for realistic forces, is established. The effect of the inclusion of the hypercentral potential in the definition of the (modified) Faddeev amplitudes for realistic forces is investigated and found to be of less importance for realistic forces than for central spin-dependent forces. The three- and four-nucleon modified Faddeev amplitudes are also compared. We found that the {ital D}-state Faddeev amplitudes are less sensitive to the number of nucleons, to the inclusion of the hypercentral potential, and to the nucleon-nucleon force than the mixed symmetry {ital S}{prime}-state amplitudes.

• OSTI ID: 5536712
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 44:1; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA PARTICLES
BINDING ENERGY
CHARGED PARTICLES
ENERGY
EQUATIONS
FADDEEV EQUATIONS
MANY-BODY PROBLEM
TRITONS
TWO-BODY PROBLEM