First order of the hyperspherical harmonic expansion method

Journal Article · Wed Oct 31 23:00:00 EST 1979 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(79)90270-7· OSTI ID:5611640

Navarro, J

The hyperspherical harmonic expansion method is studied in this work. Our attention is focused on the properties of the L/sub m/-approximation in which only the hyperspherical harmonics of minimal order are taken into account. Exact solutions of the Schroedinger equation for a few simple hyperspherical potentials are given. Recipes for constructing antisymmetric hyperspherical harmonics for fermions are investigated, and various procedures to derive the effective potential in the L/sub m/-approximation are discussed. The method is applied to the calculation of ground state and hyperradial excited states (which are identified as the breathing modes) of doubly-magic nuclei. Finally, the energy per particle is derived in the L/sub m/-approximation with Skyrme like forces for an infinitely heavy self-conjugate nucleus.

• Research Organization: Division de Physique Theorique, Institut de Physique Nucleaire, 91406 Orsay-Cedex, France
• OSTI ID: 5611640
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 123:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
COULOMB FIELD
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ENERGY
ENERGY LEVELS
EQUATIONS
FORM FACTORS
FUNCTIONS
MAGIC NUCLEI
NUCLEAR STRUCTURE
NUCLEI
NUCLEON-NUCLEON POTENTIAL
PARTICLE PROPERTIES
POTENTIALS
SCHROEDINGER EQUATION
SKYRME POTENTIAL
SPHERICAL HARMONICS
WAVE EQUATIONS
WAVE FUNCTIONS