Energy-dependent pole expansions for the effective potentials in the four-body integral equations with tensor forces
We investigate the accuracy of the energy-dependent pole expansion for the (3+1) and (2+2) subamplitudes in the calculation of the binding energy of the ..cap alpha.. particle, E/sub ..cap alpha../, for separable NN potentials with tensor components. We employ the truncated t-matrix (t/sub 00/) approximation and compare our results for E/sub ..cap alpha../ to those obtained, independent of any separable expansion, by Gibson and Lehman and to the results for E/sub ..cap alpha../ obtained with the Hilbert-Schmidt expansion of the subamplitudes. It is shown that the energy-dependent pole expansion is both more economical and converges faster than the Hilbert-Schmidt expansion, even one term of the energy-dependent pole approximation already being accurate to better than 1.5%.
- Research Organization:
- Department of Physics, University of South Africa, P.O. Box 392, Pretoria, South Africa
- OSTI ID:
- 5046497
- Journal Information:
- Phys. Rev., C; (United States), Vol. 22:4
- Country of Publication:
- United States
- Language:
- English
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ALPHA PARTICLES
BINDING ENERGY
NUCLEON-NUCLEON INTERACTIONS
FOUR-BODY PROBLEM
TENSOR FORCES
ENERGY DEPENDENCE
FORM FACTORS
INTEGRAL EQUATIONS
S MATRIX
SPIN
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
CHARGED PARTICLES
ENERGY
EQUATIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
MATRICES
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
651211* - Nuclear Properties & Reactions
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651215 - Nuclear Properties & Reactions
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