Abstract

The $^{45}\mathrm{Sc}$(p,n${)}^{45}$Ti reaction was studied at 135 MeV with a beam-swinger system. Neutron kinetic energies were measured by the time-of-flight technique, with neutron detectors located in three detector stations at 0\ifmmode^\circ\else\textdegree\fi{}, 24\ifmmode^\circ\else\textdegree\fi{}, and 45\ifmmode^\circ\else\textdegree\fi{} with respect to the undeflected beam. Flight paths of 131.0, 131.1, and 81.3 m were used. The overall timing resolution was about 825 ps, providing energy resolutions of 320 keV in the first two stations and 520 keV in the third. The wide-angle spectra are dominated by a complex at ${\mathit{E}}_{\mathit{x}}$=4.3 MeV. The angular distribution for this complex is fitted well by a distorted-wave impulse approximation calculation for an assumed ${\mathit{J}}^{\mathrm{\ensuremath{\pi}}}$=17/${2}^{\mathrm{\ensuremath{-}}}$,19/${2}^{\mathrm{\ensuremath{-}}}$ (\ensuremath{\pi}${\mathit{f}}_{7/2}^{2}$,\ensuremath{\nu}${\mathit{f}}_{7/2}^{\mathrm{\ensuremath{-}}1}$) doublet. The spectra and angular distribution are consistent with (p,${\mathrm{\ensuremath{\pi}}}^{\mathrm{\ensuremath{-}}}$) excitations of the same states and are in good agreement with a full 1f-2p shell-model calculation. The 17/${2}^{\mathrm{\ensuremath{-}}}$,19/${2}^{\mathrm{\ensuremath{-}}}$ strength predicted by distorted-wave impulse approximation calculations using these shell-model wave functions is in good agreement with the experimental measurements.

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