Study of the ${}^{50}V$ Nucleus with the ( ${}^{3}{He}, d$ ), ( ${}^{3}{He}, α$ ), ( ${}^{3}{He}, p$ ), and ( ${}^{3}{He}, p γ$ ) Reactions

The nucleus

{}^{50}V

has been studied with the

{}^{49}{Ti} ({}^{3}{He}, d)

{}^{51}V ({}^{3}{He}, α)

{}^{48}{Ti} ({}^{3}{He}, p)

, and

{}^{48}{Ti} ({}^{3}{He}, p γ)

reactions induced by the

{}^{3}{He}^{+ +}

beam from the Argonne tandem Van de Graaff. The (

{}^{3}{He}, d

), (

{}^{3}{He}, α

), and (

{}^{3}{He}, p

) angular distributions at

E ({}^{3}{He}) = 22

MeV and with 20-, 30-, and 75-keV over-all resolution, respectively, have been analyzed with the distorted-wave Born approximation. The (

{}^{3}{He}, p

) and (

{}^{3}{He}, p γ

) reactions were also studied at 13 MeV to obtain the

γ

decay of

{}^{50}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

M 1

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}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

1 f_{\frac{7}{2}}

shell model of McCullen, Bayman, and Zamick and (2) the Coriolos-coupling model of Wasielewski and Malik.

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Study of theV50Nucleus with the (He3,d), (He3,α), (He3,p), and (He3,pγ) Reactions