Microscopic description of band structure at very extended shapes in the A∼110 mass region

Recent experiments have confirmed the existence of rotational bands in the A∼110 mass region with very extended shapes lying between super- and hyperdeformation. Using the projected shell model, we make a first attempt to describe quantitatively such a band structure in 108Cd. Excellent agreement is achieved in the dynamic moment of inertia I(2) calculation. This allows us to suggest the spin values for the energy levels, which are experimentally unknown. It is found that, at this large deformation, the sharply down-sloping orbitals in the proton i13/2 subshell are responsible for the irregularity in the experimental I(2), and the wave functions of the observed states have a dominant component of two-quasiparticles from these orbitals. Measurement of transition quadrupole moments and g factors will test these findings, and thus can provide a deeper understanding of the band structure at very extended shapes