High-accuracy solution of the three-nucleon problem with realistic NN interactions using the method of hyperspherical harmonics. Comparison with other approaches

Journal Article · Wed Feb 01 00:00:00 EST 1989 · Soviet Journal of Nuclear Physics (English Translation); (USA)

OSTI ID:5595701

Mukhtarova, M I ^[1]

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1. I. V. Kurchatov Atomic Energy Institute (SU)

A set of realistic {ital NN} interactions is used to study the convergence properties of the main characteristics of {sup 3}H and {sup 3}He and the accuracy of reproduction of the three-nucleon wave function in the method of hyperspherical harmonics (MHH). It is shown that a suitably reconstructed MHH basis (projected onto a subspace of essential'' three-particle states) ensures the accuracy of the results and practical convergence of the asymptotic tail of the wave function for a total number of basis states {ital N}{approx lt}1500. The reasons for previous discrepancies between the Feddeev and MHH calculations are determined and the results of the two methods are brought into agreement. The dependence of the characteristics of {sup 3}H and {sup 3}He on the weight of the D wave in the deuteron and on the form of the three-nucleon forces is discussed.

• OSTI ID: 5595701
• Journal Information: Soviet Journal of Nuclear Physics (English Translation); (USA), Vol. 49:2; ISSN 0038-5506
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
HELIUM 3
NUCLEAR MODELS
TRITIUM
ASYMPTOTIC SOLUTIONS
D WAVES
DEUTERONS
NUCLEON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
SPHERICAL HARMONICS
THREE-BODY PROBLEM
WAVE FUNCTIONS
BARYON-BARYON INTERACTIONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
CHARGED PARTICLES
EVEN-ODD NUCLEI
FUNCTIONS
HADRON-HADRON INTERACTIONS
HELIUM ISOTOPES
HYDROGEN ISOTOPES
INTERACTIONS
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEI
ODD-EVEN NUCLEI
PARTIAL WAVES
PARTICLE INTERACTIONS
POTENTIALS
RADIOISOTOPES
STABLE ISOTOPES
YEARS LIVING RADIOISOTOPES
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
653001 - Nuclear Theory- Nuclear Structure
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