Nuclear Charge Radii and Electric Quadrupole Moments
Abstract
Isotope shifts of the mean square radii (MSR) and electric quadrupole moments of even-even nuclei with 20< Z < 98$ are calculated using a dynamical microscopic model. A single particle Nilsson potential with the Seo set of correction term parameters, the pairing forces in the BCS formalism and a long range interaction in the local approximation are used. A collective hamiltonian is obtained using a generator coordinate method (GCM) with the gaussian overlap approximation (GOA). A potential energy of the nucleus consists of a microscopic-macroscopic Strutinsky energy and a zero point vibrational term. A liquid droplet model is used as the macroscopic part of the potential. A BCS wave function is taken as a generator function and two collective variables, quadrupole and hexadecapole deformations, serve as the generator coordinates.
Keywords
Cite
@article{arxiv.nucl-th/9311026,
title = {Nuclear Charge Radii and Electric Quadrupole Moments},
author = {Bozena Nerlo-Pomorska and Beata Mach},
journal= {arXiv preprint arXiv:nucl-th/9311026},
year = {2009}
}
Comments
16 pages of paper in TEX and 32 pages of tables in LATEX, 11 figures available on request by the Authors