Beta Feeding of thed32Hole State inSc47

The intensity of gamma rays which lead to and de-excite the 767-keV ${\frac{3}{2}}^{+}$ state of ${}_{}{}^{47}{}_{}{}^{}\mathrm{Sc}$ has been measured in the decay of ${}_{}{}^{47}{}_{}{}^{}\mathrm{Ca}$, with Ge(Li) detectors, in order to determine the intensity of a beta branch to this level and hence, after the method of Cohen and Lawson, to find the probability of core excitation in ${}_{}{}^{47}{}_{}{}^{}\mathrm{Ca}$. The intensity of the 530-keV gamma transition which feeds the ${\frac{3}{2}}^{+}$ state is found to be (1.3±0.3)×${10}^{-3\mathrm{}}$ per ${}_{}{}^{47}{}_{}{}^{}\mathrm{Ca}$ decay, while the 767-keV gamma ray de-excites this state with an intensity of (2.0±0.3)×${10}^{-3\mathrm{}}$ per ${}_{}{}^{47}{}_{}{}^{}\mathrm{Ca}$ decay. If the difference between these intensities is entirely due to beta transitions to the ${\frac{3}{2}}^{+}$ state, then this first-forbidden unique branch of the beta spectrum is characterized by $log{f}_{1}t={{9.6}_{-0.3\mathrm{}}}^{+0.8\mathrm{}}$ and the probability of the ${\left(d_{\frac{3}{2}}\right)}^{-2\mathrm{}}$ configuration in the ground state of ${}_{}{}^{47}{}_{}{}^{}\mathrm{Ca}$ is (4±3)% if positive nuclear deformation is assumed, and (6±4)% for negative deformation.