Resonances in 14 C observed in the 4 He( 10 Be ,α ) 10 Be reaction

The $\ensuremath{\alpha}(^{10}\mathrm{Be},\phantom{\rule{0.16em}{0ex}}\ensuremath{\alpha})^{10}\mathrm{Be}$ resonant scattering reaction has been measured at nine $^{10}\mathrm{Be}$ beam energies from 25 to 48 MeV, scanning out resonances in $^{14}\mathrm{C}$ from excitation energies of 13 to 24 MeV. Angular distribution measurements were used to assign the spin and parity of ${5}^{\ensuremath{-}}$ to resonances at ${E}_{x}=18.82(2)$ and 19.67(2) MeV and ${6}^{+}$ at ${E}_{x}=20.80(2)$ MeV. The data also strongly indicate a ${3}^{\ensuremath{-}}$ resonance at 17.32(2) MeV. The systematic uncertainty on the excitation energies is 175 keV. An $R$-matrix analysis has been performed for the excitation energy range 16.5 to 22 MeV. The data are discussed in terms of cluster bands in $^{14}\mathrm{C}$.