The polarization charges in ${}^{44,46,48}\mathrm{Ti}$ are studied by the microscopic particle-vibration model and used to investigate the electric quadrupole transitions of the yrast terminating bands. The validity of the commonly used empirical effective charges in the $\mathit{pf}$ shell-model calculations is confirmed. The quadrupole transition probabilities $B(E2,I\to I-2)$ and electromagnetic moments are reasonably well reproduced compared with experimental results. It is found that a globally decreasing $B(E2)$ is accompanied with convergence of valence particles into the $1f_{7/2}$ shell when approaching the terminating states. The $I=6^{+}$ state in ${}^{48}\mathrm{Ti}$ shows an exotic behavior with an irregularity of $B(E2)$ and sign change of electromagnetic moments, which is related to a neutron-dominant prolate shape.

• Received 18 March 2009

DOI:https://doi.org/10.1103/PhysRevC.80.014316