Sixth-order boson expansion calculations applied to samarium isotopes

Abstract
In previous publications we reported on calculations based on the boson expansion method, and showed that good overall fits can be obtained to levels of a number of collective nuclei chosen over a wide range of the periodic table. In the present paper we concentrate on Sm isotopes and obtain much improved results, the fits to experiment being very good in all cases. In achieving this, the calculations are made by first removing a few errors committed in the previous work and also by including all terms up to sixth order in the Hamiltonian. In addition to calculating energy levels, B(E2) values, and quadrupole moments as in our previous work, we also calculated isomer shifts and spectroscopic amplitudes for two-nucleon transfer reactions.