Integro-differential equation approach. II. Triton and. alpha. -particle wave functions, graphical plots

Journal Article · Tue Jan 01 04:00:00 EST 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.43.25· OSTI ID:6098264

Oehm, W; Sofianos, S A; Fiedeldey, H ^[1]

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1. Physikalisches Institut, Universitaet Bonn, 5300 Bonn 1, (Federal Republic of Germany) Physics Department, University of South Africa, Pretoria 0001 (South Africa)

Three- and four-nucleon ground-state wave functions are displayed graphically in coordinate space as well as the Faddeev amplitudes from which they are constructed. In the four-body case only two-particle correlations are taken into account in the integro-differential equation approach, which consequently allows us to make a direct comparison between the Faddeev amplitudes for three and four nucleons and to demonstrate their high degree of similarity in shape. We also investigate the effect of the inclusion of the hypercentral potential in the definition of the (modified) Faddeev amplitudes. It is shown that the Faddeev-type components calculated in the adiabatic approximation are rather similar in shape to those calculated by means of the exact solution of the system of coupled integro-differential equations in two variables. The mixed symmetry component of the Faddeev-type amplitudes show the greatest sensitivity to the number of nucleons, the inclusion of the hypercentral potential, and to the adiabatic approximation.

• OSTI ID: 6098264
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 43:1; ISSN 0556-2813; 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
CHARGED PARTICLES
ENERGY LEVELS
EQUATIONS
EVEN-EVEN NUCLEI
FADDEEV EQUATIONS
FOUR-BODY PROBLEM
FUNCTIONS
GROUND STATES
HELIUM 4
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
NUCLEI
STABLE ISOTOPES
THREE-BODY PROBLEM
TRITONS
WAVE FUNCTIONS