The level scheme of $^{45}\mathrm{V}$ was studied with the reaction $^{40}\mathrm{Ca}$($^{7}\mathrm{Li}$,$2n$)$^{45}\mathrm{V}$ using $^{7}\mathrm{Li}$ beams of 14-16-MeV energies. Prompt and delayed $n\ensuremath{-}\ensuremath{\gamma}$ and $\ensuremath{\gamma}\ensuremath{-}\ensuremath{\gamma}$ coincidences revealed a doublet at an excitation energy of about 57 keV with a separation energy of only 800 eV. The half-life of the upper member, a $\frac{3}{{2}^{\ensuremath{-}}}$ state, was measured to be 430\ifmmode\pm\else\textpm\fi{}80 nsec. This state decays strongly via internal conversion to the lower member of the doublet, a $\frac{5}{{2}^{\ensuremath{-}}}$ state. The half-life of the latter level was measured to be \ensuremath{\lesssim}4.2 nsec. Since $^{45}\mathrm{V}$ is a $T=\frac{1}{2}$ nucleus and the mirror of the well-known $^{45}\mathrm{Ti}$ nucleus, Coulomb displacement energies could be deduced. A comparison of these Coulomb displacement energies with those of neighboring nuclei, the measured lifetimes, and the observed $\ensuremath{\gamma}\ensuremath{-}\ensuremath{\gamma}$ and $n\ensuremath{-}\ensuremath{\gamma}$ prompt and delayed coincidence spectra established nearly all the $^{45}\mathrm{V}$ levels expected below the proton separation energy of 1.62 MeV, namely, $\frac{7}{{2}^{\ensuremath{-}}}(\mathrm{g}.\mathrm{s}.)$, $\frac{5}{{2}^{\ensuremath{-}}}(56.4 \mathrm{keV})$, $\frac{3}{{2}^{\ensuremath{-}}}(57.2 \mathrm{keV})$, $\frac{3}{{2}^{+}}(386.1 \mathrm{keV})$, $\frac{5}{{2}^{+}}(796.8 \mathrm{keV})$, and $\frac{7}{{2}^{+}}(1273 \mathrm{keV})$. The expected four highest bound levels, in particular the $\frac{9}{{2}^{\ensuremath{-}}}$ and $\frac{11}{{2}^{\ensuremath{-}}}$ states, are not seen in the present experiment. The latter two states are supposed to decay either completely or predominantly to the ground state and hence are not observable in these $\ensuremath{\gamma}\ensuremath{-}\ensuremath{\gamma}$ coincidence studies. The third and fourth levels were not seen in $^{45}\mathrm{Ti}$ $\ensuremath{\gamma}$-ray spectra which exhibit much higher counting rates than those of $^{45}\mathrm{V}$. They are therefore not expected to be observable in the present $^{45}\mathrm{V}$ spectra. $^{45}\mathrm{V}$ gamma rays were also seen in the $^{40}\mathrm{Ca}$($^{6}\mathrm{Li}$,$n$)$^{45}\mathrm{V}$ reaction with a 10- and a 13.5-MeV $^{6}\mathrm{Li}$ beam. This reaction has a smaller production cross section and is therefore less suited for detailed studies.NUCLEAR REACTIONS $^{40}\mathrm{Ca}$($^{7}\mathrm{Li}$,$2n$)$^{45}\mathrm{V}$: singles spectra, prompt and delayed $n\ensuremath{-}\ensuremath{\gamma}$ and $\ensuremath{\gamma}\ensuremath{-}\ensuremath{\gamma}$ coincidences with ${E}_{^{7}\mathrm{Li}}=14, 15, 16$ MeV. $^{40}\mathrm{Ca}$($^{6}\mathrm{Li}$,$n$)$^{45}\mathrm{V}$ with 10, 13.5 MeV $^{6}\mathrm{Li}$: $n\ensuremath{-}\ensuremath{\gamma}$ and $\ensuremath{\gamma}\ensuremath{-}\ensuremath{\gamma}$ coincidences. Measurement of ${T}_{\frac{1}{2}}=430\ifmmode\pm\else\textpm\fi{}80$ nsec for the 57.2-keV state and \ensuremath{\lesssim}4.2 nsec for the 56.4-keV state. Deduced ${\frac{7}{2}}^{\ensuremath{-}}(\mathrm{g}.\mathrm{s}.)$; ${\frac{5}{2}}^{\ensuremath{-}}(56.4)$; ${\frac{3}{2}}^{\ensuremath{-}}(57.2)$; ${\frac{3}{2}}^{+}(386.1)$; ${\frac{5}{2}}^{+}(796.8)$; ${\frac{7}{2}}^{+}(1273)$, and $\ensuremath{\gamma}$ decay of these states.
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