Validity of macroscopic models for the sup3He(. cap alpha. ,. gamma. )/sup 7/Be electric-dipole capture reaction

Journal Article · Thu May 01 04:00:00 UTC 1986 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.33.1561· OSTI ID:5925235

Liu, Q K.K.; Kanada, H; Tang, Y C

The cross sections for the electric-dipole radiative-capture reaction /sup 3/He(..cap alpha..,..gamma..)/sup 7/Be are calculated with an approximation procedure (approximate-resonating-group-method procedure) in which the antisymmetrization of the wave function is simply represented by the adoption of an intercluster renormalized function obtained by operating on the resonating-group relative-motion function with the square root of the norm operator. The result shows that this procedure does yield values for the capture cross-section factor in excellent agreement with the resonating-group-method results. By studying the properties of the approximate-resonating-group-method wave functions, we find that, in this capture reaction, the nuclear potential is sampled at all energies and should be properly considered even at astrophysical low energies around 10 keV. In addition, based again on approximate-resonating-group-method results, we have shown that the macroscopic capture-reaction models of Iwinski et al. using analytical-continuation techniques and of Buck et al. using Gaussian-type effective local potentials are not sufficiently accurate for the computation of cross-section factors because of the fact that the details of the nuclear interaction are not well accounted for.

• Research Organization: Bereich Physik, Hahn-Meitner-Institut, 1000 Berlin 39, Federal Republic of Germany
• OSTI ID: 5925235
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 33:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651215* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALINE EARTH ISOTOPES
ALPHA REACTIONS
BERYLLIUM 7
BERYLLIUM ISOTOPES
BETA DECAY RADIOISOTOPES
CAPTURE
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DAYS LIVING RADIOISOTOPES
DIPOLES
ELECTRIC DIPOLES
ELECTROMAGNETIC RADIATION
ELECTRON CAPTURE RADIOISOTOPES
EVEN-ODD NUCLEI
FUNCTIONS
GAMMA RADIATION
HELIUM 3 TARGET
IONIZING RADIATIONS
ISOTOPES
LIGHT NUCLEI
MATRIX ELEMENTS
MOMENTUM TRANSFER
MULTIPOLES
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEI
POTENTIALS
RADIATIONS
RADIOISOTOPES
RESONATING-GROUP METHOD
TARGETS
VARIATIONAL METHODS
WAVE FUNCTIONS