Application of the hyperspherical formalism to the trinucleon bound state problems

Journal Article · Sun Jun 01 04:00:00 EDT 1980 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(80)90150-5· OSTI ID:5295224

Ballot, J L; de la Ripelle, M F

A method for solving the Schroedinger equation for the ground state of any number of bosons or for the trinucleon system or ..cap alpha..-particle is formulated in the framework of the hyperspherical harmonic expansion method. It is applied to the trinucleon system for nucleons interacting through realistic soft core potentials. The convergence of the method is carefully studied. Binding energies, electric form factors, one body densities, two body correlation functions and two body photodisintegration are calculated for various potentials.

• Research Organization: Division de Physique Theorique, Instititut de Physique Nucleaire, 91406 Orsay-Cedex, France
• OSTI ID: 5295224
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 127:1; ISSN APNYA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BINDING ENERGY
BOUND STATE
BREAKUP REACTIONS
CALCULATION METHODS
CHARGED-PARTICLE REACTIONS
CORRELATION FUNCTIONS
DIFFERENTIAL EQUATIONS
ELASTIC SCATTERING
ELECTROMAGNETIC FORM FACTORS
ELECTRON REACTIONS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
EVEN-ODD NUCLEI
FERMIONS
FORM FACTORS
FUNCTIONS
HADRONS
HARMONICS
HELIUM 3
HELIUM 3 TARGET
HELIUM ISOTOPES
HYDROGEN ISOTOPES
ISOTOPES
KINETIC ENERGY
LEPTON REACTIONS
LIGHT NUCLEI
MANY-BODY PROBLEM
MULTIPOLES
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEI
NUCLEONS
ODD-EVEN NUCLEI
OSCILLATIONS
PARTIAL WAVES
PARTICLE PROPERTIES
PHOTONUCLEAR REACTIONS
POTENTIALS
RADIOISOTOPES
S WAVES
SCATTERING
SCHROEDINGER EQUATION
SOFT-CORE POTENTIAL
STABLE ISOTOPES
TARGETS
THREE-BODY PROBLEM
TRITIUM
TRITIUM TARGET
WAVE EQUATIONS
WAVE FUNCTIONS
YEARS LIVING RADIOISOTOPES