Cluster expansion for three bound alpha particles as a three-body problem

Journal Article · Sat Oct 31 23:00:00 EST 1987 · Hadronic J.; (United States)

OSTI ID:6792475

Osman, A

A three-body model is proposed to study nuclear bound states. The nucleus is described as a bound state of three clusters. A cluster expansion is introduced for the problem. The resulting integral equations are given simple approximate solutions, which lead to effective potentials on using the cluster expansion. The /sup 12/C nucleus is described as a three-alpha-particle bound state. The binding energy of /sup 12/C is calculated numerically using the cluster expansion for three bound alpha clusters. The calculations are very near to the exact three-body calculations using separable potentials and are in good agreement with experiment.

• Research Organization: International Centre for Theoretical Physics, Trieste, Italy
• OSTI ID: 6792475
• Journal Information: Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 10:6; ISSN HAJOD
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA PARTICLES
BINDING ENERGY
BOUND STATE
CARBON 12
CARBON ISOTOPES
CHARGED PARTICLES
CLUSTER EXPANSION
CLUSTER MODEL
ENERGY
EQUATIONS
EVEN-EVEN NUCLEI
FUNCTIONS
HAMILTONIAN FUNCTION
INTEGRAL EQUATIONS
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
SERIES EXPANSION
STABLE ISOTOPES
THREE-BODY PROBLEM