Validity and accuracy of separable potentials in three-body calculations

Journal Article · Thu Mar 01 04:00:00 EST 1979 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.19.1127· OSTI ID:6205498

Osman, A

The three-body problem is reconsidered using separable potentials for the two-body interactions. Using the separable approximation, the Faddeev equations reduce to coupled integral equations in one continuous variable. The separable two-body interactions used are taken as consisting of two parts to include both attraction and repulsion. Each part of the potential is a spin-dependent central force together with tensor forces. Numerical calculations for the resulting integral equations are carried out to calculate the binding energies of the nuclei /sup 3/H, /sup 3/He, /sup 6/Li, /sup 9/Be, and /sup 12/C, using separable potentials of the Yamaguchi, Tabakin, Mongan, and Reid forms. The present calculations show the validity of the separable approximation and that the separable potentials extract accurate binding energies.

• Research Organization: International Center for Theoretical Physics, Trieste, Italy
• OSTI ID: 6205498
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 19:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651211* -- Nuclear Properties & Reactions
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651311 -- Nuclear Properties & Reactions
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALI METAL ISOTOPES
ALKALINE EARTH ISOTOPES
ANGULAR MOMENTUM
BERYLLIUM 9
BERYLLIUM ISOTOPES
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BINDING ENERGY
CARBON 12
CARBON ISOTOPES
ENERGY
EQUATIONS
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FADDEEV EQUATIONS
HELIUM 3
HELIUM ISOTOPES
HYDROGEN ISOTOPES
ISOTOPES
LIGHT NUCLEI
LITHIUM 6
LITHIUM ISOTOPES
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
NUCLEI
ODD-EVEN NUCLEI
ODD-ODD NUCLEI
PARTICLE PROPERTIES
POTENTIALS
RADIOISOTOPES
SPIN
STABLE ISOTOPES
THREE-BODY PROBLEM
TRITIUM
TWO-BODY PROBLEM
YEARS LIVING RADIOISOTOPES