Perturbative treatment of nuclear rotations

Abstract

A full quantum mechanical perturbative treatment that is suitable for the description of a three-dimensional rotating fermion system is presented. The rules for constructing the hamiltonian follow methods used in the quantization of gauge theories. However, the subsequent treatment of this constrained hamiltonian is performed using traditional mathematical tools, as illustrated in the application to the (exactly soluble) Elliott model. The validity of the formalism is verified by evaluating of inertia, intraband quadrupole matrix elements and intrinsic excitation energies. The corresponding values are reproduced up to the required order in the expansion parameter Q−1, where Q is a static quadrupole moment in the intrinsic frame.