Derivation of the Grodzins relation in collective nuclear model

Abstract

Basing on the Bohr collective quadrupole Hamiltonian the $A$-dependence of the Grodzins product is derived and the proportionality coefficient for the Grodzins relation is evaluated. The result obtained is in a correspondence with the experimental data.

arXiv comment7 pages

References in corpus (4)

• Nuclear ground-state masses and deformations: FRDM(2012)
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Covariant density functional theory: Reexamining the structure of superheavy nuclei
• Analytic predictions for nuclear shapes, the prolate dominance and the prolate-oblate shape transition in the proxy-SU(3) model

Cited by in corpus (3)

• The proxy-SU(3) symmetry in atomic nuclei
• Prediction of the excitation energies of the 2${}_1^{+}$ states for superheavy nuclei based on the microscopically derived Grodzins relation
• Excitation energies of $2_1^{+}$ and $4_1^{+}$ states of neutron deficient U and Pu isotopes