Pseudospin and nuclear deformation

A. L. Blokhin, Louisiana State University
T. Beuschel, Louisiana State University
J. P. Draayer, Louisiana State University
C. Bahri, University of Toronto


An operator which effects the transformation to the pseudospin representation within the oscillator shell model at arbitrary triaxial deformation is constructed as a special projection of the momentum helicity operator. Since the exact transformation of many important operators cannot be performed in a closed analytical form, a procedure of approximate transformation is developed. In the spherical and asymptotic prolate limits the transforms thus derived reduce to the known exact results. The approximate transform of a modified Nilsson Hamiltonian is found to be almost indistinguishable from the "pseudo" Hamiltonian with the strongly reduced spin-orbit strength.