Random-phase-approximation ground-state correlations and the isotope effect in /sup 40/Ca and /sup 48/Ca

Journal Article · Wed Sep 01 04:00:00 EDT 1976 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.14.1213· OSTI ID:7342566

Tinkova, E; Gmitro, M

Ellis's method of constructing the random-phase-approximation ground-state wave function which avoids the earlier dubious and incorrect quasiboson approximation is extended to the N not-equal to Z nuclei. The most important effects arise from the appropriate treatment of the isospin quantum number. In application to the calcium isotopes we find that the calculated relative shift of the proton rms radius from /sup 40/Ca to /sup 48/Ca, R = - 0.35%, for the first time agrees with the high-energy electron scattering result, R = - 0.31%. Excellent agreement is also obtained for the difference of the neutron and proton rms radii in /sup 48/Ca. It should be emphasized, however, that our conclusions concerning the magnitude of the effects on the rms radii due to ground-state correlations are more significant than the detailed comparison with experiment. (AIP)

• Research Organization: Nuclear Research Institute, CSKAE, CS 250 68 Rez, Czechoslovakia
• OSTI ID: 7342566
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 14:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651511* -- Nuclear Properties & Reactions
A=39-58
Theoretical-- Mass
Abundance
& Binding Energy-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALINE EARTH ISOTOPES
CALCIUM 40
CALCIUM 48
CALCIUM ISOTOPES
CORRELATIONS
ENERGY LEVELS
EVEN-EVEN NUCLEI
FUNCTIONS
GROUND STATES
INTERMEDIATE MASS NUCLEI
ISOSPIN
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR PROPERTIES
NUCLEAR RADII
NUCLEI
PARTICLE PROPERTIES
RANDOM PHASE APPROXIMATION
SHELL MODELS
STABLE ISOTOPES
WAVE FUNCTIONS