Energy-dependent pole expansions for the effective potentials in the four-body integral equations with tensor forces

Journal Article · Wed Oct 01 04:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.22.1772· OSTI ID:5046497

Sofianos, S; Fiedeldey, H; Haberzettl, H

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), Journal Name: Phys. Rev., C; (United States) Vol. 22:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA PARTICLES
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
BINDING ENERGY
CHARGED PARTICLES
ENERGY
ENERGY DEPENDENCE
EQUATIONS
FORM FACTORS
FOUR-BODY PROBLEM
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
MANY-BODY PROBLEM
MATRICES
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
S MATRIX
SPIN
TENSOR FORCES