The $\beta$ decay of ${}^{40}\mathrm{Ti}$ and ${}^{41}\mathrm{Ti}$ was studied by measuring the $\beta$-delayed proton and $\gamma$ emission. The half-lives for ${}^{40}\mathrm{Ti}$ and ${}^{41}\mathrm{Ti}$ were determined to be 54(2) and 82(3) ms, respectively. The experimental $\beta$-decay strengths are compared with shell-model calculations and results from other measurements. The integrated Gamow-Teller strengths for ${}^{40}\mathrm{Ti}$ and ${}^{41}\mathrm{Ti}$ were found to be quenched, compared to the calculations, by factors of 0.79(3) and 0.93(3), respectively. Based on the experimental ${}^{40}\mathrm{Ti}\hspace{0.5em}\beta$-decay strength, the neutrino absorption cross section and induced neutrino event rates for ${}^{40}\mathrm{Ar}$ were determined to be $14.3\left(3\right)\mathrm{}\times {10}^{-43}\hspace{0.5em}{\mathrm{cm}}^2$ and $9.4\pm 0.2\left(\mathrm{stat}{)}_{-1.6}^{+1.3\mathrm{}}\right(\mathrm{syst})$ SNU, respectively.

• Received 26 March 1998

DOI:https://doi.org/10.1103/PhysRevC.58.2677