Derivation of the Grodzins relation in collective nuclear model

Abstract

Based on the Bohr collective quadrupole Hamiltonian and a microscopic approach to description of the low-energy nuclear structure the A-dependence of the Grodzins product is derived and the proportionality coefficient for the Grodzins relation is evaluated. The result obtained is in agreement with the experimental data.

Keywords

• Collective Hamiltonian
• Inertia tensor
• Grodzins relation