Extrapolation of the dispersive optical model to the resonance region for neutrons on /sup 86/Kr

Journal Article · Wed Feb 01 04:00:00 EST 1989 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.39.415· OSTI ID:6530254

Johnson, C H; Carlton, R F; Winters, R R

The neutron-/sup 86/Kr mean field is formulated in terms of a dispersive optical model potential in which the real part contains dispersive contributions derived from the imaginary part by the dispersion relation. The dispersive contribution is added to the Hartree-Fock potential, which is assumed to have a Woods-Saxon shape and a depth that decreases linearly with increasing energy. The shape parameters for all components of the potential are assumed to be independent of energy. The model is formulated in terms of the energy relative to the Fermi energy, and the imaginary potential is assumed to be symmetric about the Fermi energy, which is set equal to -7.7 MeV on the basis of the empirical level structure for n-/sup 86/Kr. All other parameters are taken from earlier analyses of other nuclei, particularly of /sup 89/Y. The model is shown to give good overall predictions for the n-/sup 86/Kr mean field by comparison to the following three sets of empirical data: (i) the observed energies of the occupied and unoccupied valence levels, (ii) the energy-averaged total cross section for neutron energies up to 25 MeV, and (iii) the averaged scattering functions for s-, p-, and d-wave neutrons in the resolved resonance region from 0.015 to 0.96 MeV. The latter comparison is the unique feature of this work; the partial-wave-scattering functions that are available for s, p, and d waves in the resonance region for /sup 86/Kr make possible detailed comparisons to the scattering functions from the model.

• Research Organization: Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
• OSTI ID: 6530254
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 39:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON REACTIONS
CROSS SECTIONS
DISPERSION RELATIONS
ENERGY LEVELS
ENERGY RANGE
EVEN-EVEN NUCLEI
HADRON REACTIONS
HARTREE-FOCK METHOD
INELASTIC SCATTERING
INTERMEDIATE MASS NUCLEI
ISOMERIC TRANSITION ISOTOPES
ISOTOPES
KRYPTON 86
KRYPTON ISOTOPES
MATHEMATICAL MODELS
MATRICES
MEAN-FIELD THEORY
MEV RANGE
MEV RANGE 10-100
NEUTRON REACTIONS
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
ODD-EVEN NUCLEI
OPTICAL MODELS
POTENTIALS
R MATRIX
RADIOISOTOPES
RESONANCE SCATTERING
SCATTERING
SECONDS LIVING RADIOISOTOPES
SHELL MODELS
STABLE ISOTOPES
TOTAL CROSS SECTIONS
VALENCE
WOODS-SAXON POTENTIAL
YTTRIUM 89
YTTRIUM ISOTOPES