Coulomb effects in asymptotic normalization constants: A soluble model

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

DOI:https://doi.org/10.1103/PhysRevC.37.336· OSTI ID:5641604

Lehman, D R; Maximon, L C; Friar, J L

An exactly soluble two-body model is used to investigate Coulomb effects on S-wave asymptotic normalization constants. The model consists of an S-wave separable interaction with and without a repulsive Coulomb interaction. Relative to the case without the Coulomb interaction, it is shown explicitly that an S-wave asymptotic normalization constant is affected in two compensating ways by the presence of the Coulomb interaction: (1) The asymptotic norm decreases due to the decrease in binding energy; (2) the asymptotic norm increases due to the modification in the tail of the wave function brought about by the long-range nature of the Coulomb interaction. For a system like /sup 3/He, these are approximately 5% effects that essentially cancel each other, leading to nearly equal asymptotic normalization constants for /sup 3/H and /sup 3/He.

• Research Organization: Department of Physics, The George Washington University, Washington, D.C. 20052
• OSTI ID: 5641604
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 37:1; 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
ASYMPTOTIC SOLUTIONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BINDING ENERGY
CORRECTIONS
COULOMB CORRECTION
COUPLING CONSTANTS
ENERGY
EVEN-ODD NUCLEI
FUNCTIONS
HELIUM 3
HELIUM ISOTOPES
HYDROGEN ISOTOPES
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
NUCLEI
ODD-EVEN NUCLEI
PARTIAL WAVES
RADIOISOTOPES
S WAVES
STABLE ISOTOPES
TRITIUM
TWO-BODY PROBLEM
WAVE FUNCTIONS
YEARS LIVING RADIOISOTOPES