Convergence of a separable expansion method in three-nucleon calculations

Journal Article · Wed Oct 01 04:00:00 EDT 1986 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.34.1187· OSTI ID:5172569

Haidenbauer, J; Koike, Y

The efficiency of a separable expansion method proposed by Ernst, Shakin, and Thaler is examined in three-nucleon calculations. Separable approximations with increasing accuracy are constructed for the /sup 1/S/sub 0/ and /sup 3/S/sub 1/-/sup 3/D/sub 1/ partial waves of the Paris potential. With these models we compute the three-body bound state and observables of the nucleon-deuteron scattering. The stability of the three-nucleon results is investigated as a function of the number of terms in the separable representation. Convergence is observed already for a few terms retained.

• Research Organization: Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567, Japan
• OSTI ID: 5172569
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 34:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651215* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BANACH SPACE
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
BOUND STATE
DEUTERIUM TARGET
EQUATIONS
FADDEEV EQUATIONS
FUNCTIONS
GREEN FUNCTION
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
HILBERT SPACE
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATRICES
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
S MATRIX
SCATTERING
SHELL MODELS
SPACE
TARGETS
THREE-BODY PROBLEM