Nucleon Densities in a Diffuse-Boundary Independent-Particle Model
Abstract
The approximate wave functioins developed in a previous study are applied to a survey of the proton and nucleon densities. The proton densities in six representative nuclei (each assumed to be spherically symmetrical) are calculated and compared with densities inferred from the systematics of the Stanford electron scattering experiments. Apart from a small systematic discrepancy in radii which may readily be removed by a slight readjustment of potential parameters, the theoretical and experimentally inferred proton densities are in general conformity. The theoretical densities, however, display a fine structure not present in the smoothed densities which have been used in interpreting the electron scattering experiments. The total theoretical nucleon densities also show a similar but less pronounced fine structure. In the six cases studied, it is found that the nuclear potentials extend significantly beyond the total nucleon densities. A discussion of the possible physical significance of the density-potential differences is given.
- Publication:
-
Physical Review
- Pub Date:
- December 1956
- DOI:
- 10.1103/PhysRev.104.1625
- Bibcode:
- 1956PhRv..104.1625G