Lifetime measurements in the transitional nucleus<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow/><mml:mn>138</mml:mn></mml:msup></mml:math>Gd
Annotatsiya
Lifetime measurements have been made in the ground-state band of the transitional nucleus ${}^{138}$Gd from coincidence recoil-distance Doppler-shift data. ${}^{138}$Gd nuclei were produced using the ${}^{106}$Cd (${}^{36}$Ar, 2$p$2$n$) reaction with a beam energy of 190 MeV. Reduced transition probabilities have been extracted from the lifetime data collected with the K\"oln plunger placed at the target position of the JUROGAM-II array. The $B(E2)$ values have been compared with predictions from X(5) critical-point calculations, which describe the phase transition between vibrational and axially symmetric nuclear shapes, as well as with IBM-1 calculations at the critical point. While the excitation energies in ${}^{138}$Gd are consistent with X(5) predictions, the large uncertainties associated with the measured $B(E2)$ values cannot preclude vibrational and rotational contributions to the low-lying structure of ${}^{138}$Gd. Although experimental knowledge for the low-lying $\ensuremath{\gamma}$ and $\ensuremath{\beta}$-vibrational bands in ${}^{138}$Gd is limited, potential-energy surface calculations suggest an increase in $\ensuremath{\gamma}$ softness in the ground-state band. In order to more fully account for the effects of $\ensuremath{\gamma}$ softness, the X(5) and IBM-1 calculations need to be extended to include the $\ensuremath{\gamma}$ degree of freedom for ${}^{138}$Gd.