Abstract. The even-even Cd isotopes have long been cited as one of the prime examples of vibrational behaviour, identified soon after the Bohr model was developed in the early 1950's. By the late 1970's, the presence of intruder states and shape coexistence were identified, but the underlying vibrational nature remained intact. More recently, the robustness of the multiphonon states was questioned, prompting detailed spectroscopic investigations at a number of facilities, including the use of the (n, n ′ γ) reaction and β-decay studies with modern γ-ray spectrometers. Combining results from these studies, a re-examination of the structure of the mid-shell Cd isotopes suggests that they may represent deformed γ-soft rotors rather than spherical vibrators.
The early years: Cd as spherical vibratorsThe collective model of Bohr and Mottelson [1,2], developed in the early 1950's, is one of the foundational models of nuclear structure. Its three main paradigms, deformed-rotational, spherical vibrational, and γ-soft, remain to this day benchmarks against which structure of nuclei are compared. Soon after the development of the vibrational limit of the Bohr Hamiltonian, in 1955 Scharff-Goldhaber and Weneser [3] used the ratio of the energy of the second excited state to the first excited state, E 2 /E 1 , to identify candidates for spherical vibrators. In this early work, the Cd nuclei 110 Cd and 114 Cd were cited as candidates, having E 2 /E 1 ≈ 2. Soon thereafter, in 1956 [4], spectroscopy following the (n, γ) capture reaction identified an additional 2 + level in the vicinity of the two-phonon triplet in 114 Cd. This was seen as a problem for the vibrational model by Cohen and Price [5], who, in 1960, using the (d, p) reaction, not only confirmed the additional 2 + level in 114 Cd, but also found an extra 0 + state. Further, they identified two 0 + and two 2 + states in 112 Cd at twice the energy of the 2 + 1 state. The validity of the phonon model was supported, however, by a series of Coulomb excitation experiments by McGowan and co-workers [6], results of which are shown in Fig. 1, that determined in 112,114,116 Cd the ratio B(E2; 4 + 1 → 2 + 1 )/B(E2; 2 + 1 → 0 + 1 ) was approximately equal to 2 (within the experimental uncertainty). Only in 110 Cd did the ratio of 1.42 ± 0.19 deviate significantly from 2.0. Furthermore, in 114,116 Cd, the ratio B(E2; 0 ′+ → 2 + 1 )/B(E2; 2 + 1 → 0 + 1 ) was measured to be near unity, again providing support to the phonon model.