Abstract. The recently reported deviations of selected non-yrast states in 110 Cd from the expected sphericalvibrator behaviour, is addressed by means of an Hamiltonian with U(5) partial dynamical symmetry. The latter preserves the U(5) symmetry in a segment of the spectrum and breaks it in other states. The effect of intruder states is treated in the framework of the interacting boson model with configuration mixing.The Cd isotopes have been traditionally considered to be a prime example of spherical vibrators. Recently, advanced experimental studies have reported significant deviations from this behaviour in selected two-and threephonon states, along the Cd chain (A=108-126) [1][2][3]. These observations have led to claims for the "breakdown of the vibrational motion" in these isotopes and the need for a paradigm shift [1,2]. In the present contribution, we examine an alternative explanation for the structure of the Cd isotopes, in terms of U(5) partial dynamical symmetry (PDS) [4].A convenient starting point for describing spherical nuclei is the U(5) limit of the interacting boson model (IBM) [5], corresponding to the chain of nested algebras,The basis states whereĈ G is the Casimir operator of G,A typical U(5)-DS spectrum exhibits n d -multiplets of a spherical vibrator, with a two-phonon (n d = 2) triplet of states (L = 4, 2, 0) at an energy E(n d = 2) ≈ 2E(n d = 1) * e-mail: ami@phys.huji.ac.il * * e-mail: noam.gavrielov@mail.huji.ac.il * * * e-mail: enrique.ramos@dfaie.uhu.es * * * * e-mail: isacker@ganil.fr above the ground state (n d = L = 0), and a three-phononenforces strong (n d + 1 → n d ) E2 transitions with particular ratios, e.g.,
B(E2; nd=2,L=0,2,4→nd=1,L=2) B(E2; nd=1,L=2→nd=0,L=0) = 2 (N−1)N . The empirical spectrum of 110 Cd consists of both normal levels [shown in Fig. 1(a)], and intruder levels [shown in Fig. 2(a)] based on 2p-4h proton excitations across the Z=50 closed shell. The experimental energies and E2 rates in Fig. 1(a), demonstrate that most normal states have good spherical vibrator properties, and conform well with the U(5)-DS calculation shown in Fig. 1(b). However, the measured rates for E2 decays from the non-yrast states, 0 (ii) The discrepancy in the decays of the non-yrast two-and three-phonon states persists also in the heavier A Cd isotopes (A=110-126), even though the energy of intruder states rises away from neutron midshell, and the mixing is reduced. These observations have led to the conclusion that the normal-intruder strongmixing scenario needs to be rejected, and have raised serious questions on the validity of the multi-phonon interpretation [1,2]. In what follows, we consider a possible