Structure of the /sup 6/Li. -->. p+(n. cap alpha. ) vertex: Three-body formalism

Journal Article · Mon Feb 01 04:00:00 EST 1988 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.37.445· OSTI ID:5507685

Christou, C T; Lehman, D R; Parke, W C

Three-body models of /sup 6/Li are used to investigate the structure of the /sup 6/Li..-->..p+(n..cap alpha..) vertex amplitude. Within the three-body framework, the formalism of the /sup 6/Li..-->..p+(n..cap alpha..) overlap amplitude is delineated. From this overlap, the formula for the central physical quantity, namely, the /sup 6/Li..-->..p+(n..cap alpha..) joint momentum distribution, is derived. It is shown that the /sup 6/Li..-->..p+(n..cap alpha..) joint momentum distribution satisfies a sum rule consistent with its probability interpretation. The sum rule is used as a check on the numerical calculation of the joint momentum distribution and to isolate terms that contribute insignificantly. By integration of the /sup 6/Li..-->..p+(n..cap alpha..) joint momentum distribution over a given range of the n..cap alpha.. excitation energy, the momentum distribution of the valence proton in /sup 6/Li is obtained. From both the /sup 6/Li..-->..p+(n..cap alpha..) joint momentum distribution and the p-(n..cap alpha..) momentum distribution, the dynamical structure of the /sup 6/Li..-->..p+(n..cap alpha..) vertex according to three-body models is uncovered.

• Research Organization: Department of Physics, The George Washington University, Washington, D.C. 20052
• OSTI ID: 5507685
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 37:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALI METAL ISOTOPES
ALPHA PARTICLES
BARYONS
CHARGED PARTICLES
CLUSTER MODEL
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FUNCTIONS
HADRONS
ISOTOPES
LIGHT NUCLEI
LITHIUM 6
LITHIUM ISOTOPES
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICS
NEUTRONS
NUCLEAR MODELS
NUCLEI
NUCLEONS
NUMERICAL ANALYSIS
ODD-ODD NUCLEI
PROBABILITY
PROTONS
STABLE ISOTOPES
SUM RULES
THREE-BODY PROBLEM
WAVE FUNCTIONS