Variational calculation of the. cap alpha. particle with the Paris potential

Journal Article · Sun Apr 01 04:00:00 EST 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.29.1444· OSTI ID:7049160

Goldhammer, P

The ground state of the ..cap alpha.. particle is calculated using a revised version of the Brillouin-Wigner perturbation method, with enhanced variational flexibility. The resulting energy eigenvalue, for the Paris potential, is -25.5 MeV. When Coulomb forces and possible errors are taken into account one establishes an upper bound on the eigenvalue of -24.1 MeV. The derived wave function contains a D state admixture of only 5.36%.

• Research Organization: Department of Physics and Astronomy, University of Kansas, Lawrence, Kansas 66045
• OSTI ID: 7049160
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 29:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651213* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Energy Levels & Transitions-- (-1987)
653001 -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA PARTICLES
BOUND STATE
BOUNDARY CONDITIONS
CHARGED PARTICLES
COULOMB FIELD
EIGENVALUES
ELECTRIC FIELDS
ENERGY LEVELS
FUNCTIONS
GROUND STATES
HAMILTONIANS
MATHEMATICAL OPERATORS
NUCLEAR POTENTIAL
NUCLEAR STRUCTURE
PERTURBATION THEORY
POTENTIALS
QUANTUM OPERATORS
VARIATIONAL METHODS
WAVE FUNCTIONS