The nucleus ${}_{}{}^{50}{}_{}{}^{}\mathrm{V}$ has been studied with the ${}_{}{}^{49}{}_{}{}^{}\mathrm{Ti}({}_{}{}^3{}_{}{}^{}\mathrm{He},d)$, ${}_{}{}^{51}{}_{}{}^{}\mathrm{V}({}_{}{}^3{}_{}{}^{}\mathrm{He},\alpha )$, ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ti}({}_{}{}^3{}_{}{}^{}\mathrm{He},p)$, and ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ti}({}_{}{}^3{}_{}{}^{}\mathrm{He},p\gamma )$ reactions induced by the ${}_{}{}^3{}_{}{}^{}\mathrm{He}_{}^{++}{}_{}{}^{}$ beam from the Argonne tandem Van de Graaff. The (${}_{}{}^3{}_{}{}^{}\mathrm{He},d$), (${}_{}{}^3{}_{}{}^{}\mathrm{He},\alpha$), and (${}_{}{}^3{}_{}{}^{}\mathrm{He},p$) angular distributions at $E\left({}_{}{}^3{}_{}{}^{}\mathrm{He}\right)=22\mathrm{}$ MeV and with 20-, 30-, and 75-keV over-all resolution, respectively, have been analyzed with the distorted-wave Born approximation. The (${}_{}{}^3{}_{}{}^{}\mathrm{He},p$) and (${}_{}{}^3{}_{}{}^{}\mathrm{He},p\gamma$) reactions were also studied at 13 MeV to obtain the $\gamma$ decay of ${}_{}{}^{50}{}_{}{}^{}\mathrm{V}$ levels (including two $0^{+}$ isobaric analog states) in which the neutron-proton pair is transferred with zero orbital angular momentum. The two $0^{+}$ isobaric analog states are observed to decay by $M1\mathrm{}$ transitions to two different low-lying $1^{+}$ states, one of which is $f_{\frac{7}{2}}$ and the other is a complex configuration. Several levels between 1.3- and 4-MeV excitation energy are seen to decay in part to the $1^{+}$ levels populated by decay of the two $0^{+}$ analog states. The ${}_{}{}^{50}{}_{}{}^{}\mathrm{V}$ levels at 1.333 and 1.490 MeV are assigned $1^{+}$, and the previous tentative spin assignments $5^{+}$, $4^{+}$, $3^{+}$, and $2^{+}$ of the first four excited states are supported. All available data are used to evaluate two models: (1) the truncated $1f_{\frac{7}{2}}$ shell model of McCullen, Bayman, and Zamick and (2) the Coriolos-coupling model of Wasielewski and Malik.

• Received 29 June 1972

DOI:https://doi.org/10.1103/PhysRevC.7.1099