Neutron densities and the single particle structure of several even-even nuclei from /sup 40/Ca to /sup 208/Pb

Journal Article · Sat Dec 01 04:00:00 EST 1979 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.20.2403· OSTI ID:5629774

Ray, L; Hodgson, P E

Previously developed techniques which sum the squares of proton single particle wave functions to obtain nuclear charge densities are applied to the study of neutron distributions in /sup 40,48/Ca, /sup 58,64/Ni, /sup 116,124/Sn, and /sup 208/Pb by comparing to those neutron densities deduced from 800 MeV proton elastic scattering data. The proton and neutron single particle wave functions are derived from a one-body, nonlocal Woods-Saxon binding potential whose parameters are adjusted to give the experimental single particle energies. Empirical spectroscopic factors determine the appropriate occupation probabilities for the single particle levels near the Fermi surface. Proper attention is given to nonorthogonality problems and to the removal of the spurious center-of-mass motion. These semiphenomenological neutron densities are compared to the predictions of the density matrix expansion variant of Hartree-Fock theory and to densities which are empirically deduced from recent 800 MeV polarized proton elastic scattering data. These ''experimental'' neutron distributions are obtained from approximate second order Kerman, McManus, and Thaler optical potential analyses using essentially ''model independent'' neutron densities. Qualitatively good agreement is obtained between the semiphenomenological neutron densities computed here, the density matrix expansion predictions, and the empirical results.

• Research Organization: Theoretical Division, Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5629774
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 20:6; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALINE EARTH ISOTOPES
BARYON REACTIONS
CALCIUM 40
CALCIUM 48
CALCIUM ISOTOPES
CHARGE DENSITY
CHARGED-PARTICLE REACTIONS
ELASTIC SCATTERING
ENERGY RANGE
EVEN-EVEN NUCLEI
FUNCTIONS
HADRON REACTIONS
HARTREE-FOCK METHOD
HEAVY NUCLEI
INTERMEDIATE MASS NUCLEI
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LEAD ISOTOPES
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MEV RANGE 100-1000
NEUTRON DENSITY
NICKEL 58
NICKEL 64
NICKEL ISOTOPES
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
OPTICAL MODELS
POTENTIALS
PROTON REACTIONS
SCATTERING
SINGLE-PARTICLE MODEL
SPECTROSCOPIC FACTORS
STABLE ISOTOPES
TIN 116
TIN 124
TIN ISOTOPES
WAVE FUNCTIONS
WOODS-SAXON POTENTIAL