$\alpha$ decaying states of ${}^{44,46,52}\mathrm{Ti}$ were investigated with angular correlation functions between $t$ and $\alpha$ with the ${}^{40,42,48}\mathrm{Ca}({}^7\mathrm{Li},t\alpha ){}^{40,42,48}\mathrm{Ca}$ reactions at $E=26.0$ MeV. Many $\alpha$ cluster states were newly observed in the $10–15$ MeV excitation energy of ${}^{44}\mathrm{Ti}$ and their spin-parities were assigned, in which $J^{\pi }=7^{-}$ state was found at $11.95$ MeV as a candidate for the member of the $K=0_1^{-}$ negative parity band. In ${}^{46}\mathrm{Ti}$ many $\alpha$ cluster states were also found in the $11–17$ MeV excitation energy with the ${}^{42}\mathrm{Ca}({}^7\mathrm{Li},t\alpha ){}^{42}\mathrm{Ca}$ reaction, though its strength is weak compared with ${}^{44}\mathrm{Ti}$. No $\alpha$ cluster states were detected for the ${}^{48}\mathrm{Ca}({}^7\mathrm{Li},t\alpha ){}^{48}\mathrm{Ca}$ reaction, in which the number of coincidence events decaying from ${}^{48}\mathrm{Ca}$ was very small.

• Received 28 October 2009

DOI:https://doi.org/10.1103/PhysRevC.80.064613