Proton-[sup 90]Zr mean field between [minus]60 and +185 MeV from a dispersive optical model analysis

Journal Article · Tue Jun 01 00:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.2677· OSTI ID:6581898

Wang, Y; Foster, C C; Polak, R D; Rapaport, J; Stephenson, E J ^[1]

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1. Physics Department, Kent State University, Kent, Ohio 44242 (United States) Indiana University Cyclotron Facility, Bloomington, Indiana 47408 (United States) Physics Department, Ohio University, Athens, Ohio, 45701 (United States)

Elastic scattering of protons from [sup 90]Zr in the energy range [ital E][sub [ital p]]=9.8 to 135 MeV is analyzed using a dispersive optical model potential (OMP). In this analysis, a dispersion relation connects the volume integrals of the imaginary and the real parts of the OMP. Best-fit dispersive OMP parameters are obtained from fits to experimental cross section and analyzing power data at each energy, while the volume integrals of the imaginary potential and dispersive correction terms are fixed at the empirical values obtained in the individual proton elastic scattering analyses from 9.8 to 135 MeV. Predictions of the cross section and analyzing power angular distributions from the best-fit dispersive OMP and conventional OMP are obtained, and give similar quality fits to data. A dispersive OMP with parameters that show a smooth energy dependence are determined from fits to the entire data set. Comparison of cross sections and analyzing powers calculated by the dispersive OMP with experimental data at 160 and 185 MeV is also presented. The dispersive OMP with a smooth energy dependence is extended to the negative energy region with the guidance of the known first single-particle and single-hole state energies near the Fermi energy, [ital E][sub [ital F]]=[minus]6.8 MeV, to provide parameters for the shell model potential. This analysis also provides estimates for single-particle and hole energies [ital E][sub [ital n][ital l][ital j]], root-mean-square radii [ital R][sub [ital n][ital l][ital j]], expectat ion values of the effective mass [l angle][ital m][sup *]/[ital m][r angle][sub [ital n][ital l][ital j]], occupation probabilities [ital N][sub [ital n][ital l][ital j]], absolute spectroscopic factors [ital S][sub [ital n][ital l][ital j]], and spectral functions [zeta][sub [ital n][ital l][ital j]]([ital E][sub [ital x]]) for proton single-particle and single-hole orbits in [sup 90]Zr.

• OSTI ID: 6581898
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 47:6; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
PROTON REACTIONS
OPTICAL MODELS
ZIRCONIUM 90 TARGET
ANALYZING POWER
DIFFERENTIAL CROSS SECTIONS
DISPERSION RELATIONS
EFFECTIVE MASS
ELASTIC SCATTERING
MEV RANGE 01-10
MEV RANGE 10-100
MEV RANGE 100-1000
NUCLEAR RADII
POLARIZATION
SPECTRAL FUNCTIONS
SPECTROSCOPIC FACTORS
BARYON REACTIONS
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
ENERGY RANGE
FUNCTIONS
HADRON REACTIONS
MASS
MEV RANGE
NUCLEAR PROPERTIES
NUCLEAR REACTIONS
NUCLEON REACTIONS
SCATTERING
TARGETS
663300* - Nuclear Reactions & Scattering
General- (1992-)
663430 - Nucleon-Induced Reactions & Scattering- (1992-)
663560 - Nuclear Mass Ranges- A=90-149- (1992-)