Microscopic structure of low-lying 0+ states in the deformed Gd158

Abstract

We study in the quasiparticle-phonon model the shell structure and the phonon content of the low-lying excited ${0}^{+}$ states in $^{158}\mathrm{Gd}$. We show that the model accounts for the large abundance of ${0}^{+}$ states observed in recent experiments and provides a detailed and exhaustive information about the properties of all these states, especially the extent and nature of their collectivity. This is achieved through an explicit investigation of the structure of the model wave functions and, more objectively, the calculation and comparative analysis of $E2$ and $E0$ transition probabilities, and, especially, two-nucleon transfer spectroscopic factors.