Effects of core deformations and collective rotational currents on electron-nucleus magnetic form factors
The collective model H/sub int/ + H/sub coll/ is used to study the magnetic form factors. For the intrinsic Hamiltonian, we use the Nilsson model to generate the intrinsic state. For the collective Hamiltonian, two models are considered, the rigid body model and the liquid soap model. We use the particle-rotor model to derive the collective operators and their reduced matrix elements, and then apply this model to the elastic M1 form factor of /sup 13/C. One sees clearly the interplay of the intrinsic form factor and the collective form factor. Since the form factor is essentially a Fourier transform of the current density operator, one also sees the effects of the collective current density distribution due to all the particles in addition to that of the intrinsic current due to the unpaired nucleons. The effects of core deformation are explored. This includes discussions on the difference between the variation before projection and the variation after projection. Analytic results are obtained in the case of weak deformations. The collective model focuses on the effects of the quadrupole deformation on the M1 form factor of /sup 13/C, whereas the calculation involving core polarization stresses the monopole effects. By introducing a quenching of the isovector g/sub s/, the fits by the collective models are very comparable to the fit by the core polarization, although the justification for this procedure in light nuclei is questionable.
- OSTI ID:
- 5817823
- Country of Publication:
- United States
- Language:
- English
Similar Records
THE SINGLE PARTICLE NILSSON MODEL FOR ODD-A NUCLEI IN 1d-2s SHELL
Scission-point model of nuclear fission based on deformed-shell effects
Related Subjects
A=6-19
Theoretical-- Moments & Spin-- (-1987)
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CARBON 13
CARBON ISOTOPES
COLLECTIVE MODEL
DEFORMATION
EVEN-ODD NUCLEI
FORM FACTORS
ISOTOPES
LIGHT NUCLEI
MAGNETIC MOMENTS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
PARTICLE PROPERTIES
STABLE ISOTOPES