Determination of the proximity potential from sub-barrier fusion data

Journal Article · Sun Jul 01 04:00:00 EDT 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.30.175· OSTI ID:6257299

Inui, M; Koonin, S E

Sub-barrier fusion cross sections for 12 systems involving p-shell nuclei are analyzed in an attempt to determine directly the universal form of the internucleus potential. We use a previously developed inversion procedure based on the Wentzel-Kramers-Brillouin approximation, which new model calculations presented here show to be highly accurate. The scaling implied by the proximity formulation is found to be roughly consistent with the data, with the structure of the colliding nuclei having little effect. The proximity function Phi determined from the data is consistent with the original function of Blocki et al. at intermediate separations, subject to the use of a different formula for the nuclear radii. Data for selected systems involving sd-shell nuclei lead to a more attractive potential than that found for the p-shell systems, while data for systems involving Ca isotopes exhibit ''reentrant'' barriers characteristic of a breakdown of the basic assumptions of the inversion procedure.

• Research Organization: W. K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125
• OSTI ID: 6257299
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 30:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALINE EARTH METALS
CALCIUM
CHARGED-PARTICLE REACTIONS
COULOMB FIELD
CROSS SECTIONS
ELASTIC SCATTERING
ELECTRIC FIELDS
ELEMENTS
EXCITATION FUNCTIONS
FUNCTIONS
FUSION REACTIONS
HEAVY ION REACTIONS
MATHEMATICAL MODELS
METALS
NUCLEAR MODELS
NUCLEAR PROPERTIES
NUCLEAR RADII
NUCLEAR REACTIONS
POTENTIALS
SCATTERING
SHELL MODELS
TUNNEL EFFECT
WKB APPROXIMATION