Proton mean field in sup 40 Ca between minus 60 MeV and +200 MeV deduced from a dispersive optical-model analysis

Journal Article · Wed Aug 01 04:00:00 EDT 1990 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.42.693· OSTI ID:6511338

Tornow, W; Chen, Z P ^[1]; Delaroche, J P ^[2]

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1. Department of Physics, Duke University, Durham, North Carolina 27706 (USA) Triangle Universities Nuclear Laboratory, Duke Station, Durham, NC (USA)
2. Service de Physique et Techniques Nucleaires, Centre d'Etudes de Bruyeres-le-Chatel, F-91680 Bruyeres le-Chatel (France) Triangle Universities Nuclear Laboratory, Duke Station, Durham, NC (USA)

The {ital p}-{sup 40}Ca mean field is derived from an optical-model (OM) analysis that explicitly incorporates the dispersion relation connecting the real and imaginary parts of the mean field. This analysis is based on differential cross-section, analyzing power, and reaction cross-section data available in the energy range between 20 and 180 MeV. The extrapolation of the OM potential from positive to negative energies provides the shell-model potential. This extrapolation is guided by known single-particle energies. The deeply bound 1{ital p} and 1{ital s} orbits clearly indicate the need for a linear rather than an exponential energy dependence of the Hartree-Fock potential at large negative energies. The analysis also provides root-mean-square radii, occupation probabilities, spectral functions, and absolute spectroscopic factors for proton single-particle orbits in {sup 40}Ca. Our calculated 15% depletion of the hole states in {sup 40}Ca is lower than that suggested for {sup 208}Pb from theoretical and experimental studies. We also find that a substantial amount of single-particle strength in {sup 40}Ca is located at rather high excitation energy.

• DOE Contract Number: AC05-76ER01067
• OSTI ID: 6511338
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 42:2; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651520* -- Nuclear Properties & Reactions
A=39-58
Experimental
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALINE EARTH ISOTOPES
ANALYZING POWER
BARYON REACTIONS
CALCIUM 40
CALCIUM 40 TARGET
CALCIUM ISOTOPES
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DISPERSION RELATIONS
EFFECTIVE MASS
ELASTIC SCATTERING
ENERGY RANGE
EVEN-EVEN NUCLEI
FUNCTIONS
HADRON REACTIONS
ISOTOPES
LIGHT NUCLEI
MASS
MEV RANGE
MEV RANGE 10-100
MEV RANGE 100-1000
NUCLEAR PROPERTIES
NUCLEAR RADII
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
OCCUPATION NUMBER
OPTICAL MODELS
PROTON REACTIONS
SCATTERING
SPECTRAL FUNCTIONS
STABLE ISOTOPES
TARGETS