Nuclear Charge Radii and Electric Quadrupole Moments of Even-Even Isotopes

doi:10.1006/adnd.1995.1008

Atomic Data and Nuclear Data Tables

Volume 60, Issue 2, July 1995, Pages 287-319

https://doi.org/10.1006/adnd.1995.1008 Get rights and content

Abstract

Isotope shifts of the charge mean-square radii 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 terms, 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 with the Gaussian overlap approximation. The potential energy of the nucleus consists of a microscopic-macroscopic Strutinsky energy and a zero-point vibrational term. A liquid droplet model is used for 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. In general, good agreement between the theory and experimental data is achieved.

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Adopted values for the reduced electric quadrupole transition probability, B(E2)↑, from the ground state to the first-excited 2⁺ state of even–even nuclides are given in Table I. Values of τ, the mean life of the 2⁺ state; E, the energy; and β, the quadrupole deformation parameter, are also listed there. The ratio of β to the value expected from the single-particle model is presented. The intrinsic quadrupole moment, Q₀, is deduced from the B(E2)↑ value. The product E×B(E2)↑ is expressed as a percentage of the energy-weighted total and isoscalar E2 sum-rule strengths.
Table II presents the data on which Table I is based, namely the experimental results for B(E2)↑ values with quoted uncertainties. Information is also given on the quantity measured and the method used. The literature has been covered to November 2000.
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Regular ArticleNuclear Charge Radii and Electric Quadrupole Moments of Even-Even Isotopes

Abstract

Regular Article
Nuclear Charge Radii and Electric Quadrupole Moments of Even-Even Isotopes