Resolution of fixed-geometry optical-model ambiguities

B. D. Watson, D. Robson, D. D. Tolbert, R. H. Davis

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Abstract

In order to test a procedure for resolving the problem of discrete real-well-depth ambiguities found in optical-model analyses, α particles were elastically scattered from Ge70, Zr90, Ag107, and Ce140 at incident energies from 0.6 to 1.2 times the classical Coulomb-barrier height for each nucleus. The real and imaginary nuclear potential-well radii and the Coulomb radius (assuming a uniformly charged sphere) for each nucleus were taken to be R=RC=γ0(AAlpha13+ATarget13), where γ0=1.22 F. A diffuseness of 0.57 F was used throughout. For three of the nuclei, only one pair of real (U) and volume-imaginary (W) potentials was found, with the real-well depth for Zr90 showing a slight energy dependence. The potentials obtained were (in MeV): U=23.5, W=11.0 for Ge70; U∼22, W∼10.3 for Zr90; U=23.5, W=14.5 for Ag107; and U=18.0, W=6.0 for Ce140. Analysis of angular distributions taken with 15-18-MeV α particles did not yield evidence of expected ambiguities in the real-well depth, so further calculations were performed in which the effect of absorption was more generally explored. The usefulness of the proposed method was found to be limited to cases where the absorption is either ineffective, or small compared with the average spacing between single-particle levels of the same spin and parity.

Original languageEnglish (US)
Pages (from-to)2240-2249
Number of pages10
JournalPhysical Review C
Volume4
Issue number6
DOIs
StatePublished - Jan 1 1971

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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    Watson, B. D., Robson, D., Tolbert, D. D., & Davis, R. H. (1971). Resolution of fixed-geometry optical-model ambiguities. Physical Review C, 4(6), 2240-2249. https://doi.org/10.1103/PhysRevC.4.2240