Method of hyperspherical harmonics

Journal Article · Wed Mar 01 04:00:00 EST 1978 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:6583400

Efros, V D

A rapid method of solving the equations of the hyperspherical-harmonic (h.h.) method is presented. The method is based on the fact that a small parameter appears in the problem for large values of K, namely the ratio of the potential energy and the kinetic energy. An approximation simplifying the system of equations is described. The ''high-dimension approximation'' is described, allowing for a significant simplification in the construction of the necessary h.h. basis for large K and A> or =4. This approximation is based on the fact that in the considered cases the matrix elements of particle permutations are small for all ''nontrivial'' permutations. An application of these methods provides a relatively simple method for obtaining an essentially complete solution of the /sup 4/He problem and probably also of the /sup 6/Li problem for realistic NN interactions. A convenient version of the quantum-mechanical perturbation theory is given and the choice of oscillator basis states relevant for the problem is discussed.

• Research Organization: I. V. Kurchatov Institute of Atomic Energy
• OSTI ID: 6583400
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 27:3; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
K-HARMONICS METHOD
LIGHT NUCLEI
MATRIX ELEMENTS
MECHANICS
NUCLEI
PERTURBATION THEORY
QUANTUM MECHANICS
RAYLEIGH-SCHROEDINGER FORMULA
SERIES EXPANSION