Abstract
Taking into account the final-state density of the leptons, a single resonance model for the $^{12}\mathrm{C}+\ensuremath{\alpha} {1}^{\ensuremath{-}}$ scattering amplitude predicts a markedly asymmetric peak in the $\ensuremath{\alpha}$ spectrum following $^{16}\mathrm{N}\ensuremath{\beta}$ decay into continuum states of $^{16}\mathrm{O}$. The observed peak is nearly symmetric and it is shown that this symmetry can arise from destructive interference from the subthreshold ${1}^{\ensuremath{-}}$ state (7.12 MeV) and/or a background from states of \ensuremath{\sim}17-MeV excitation in $^{16}\mathrm{O}$. It is shown that the $\ensuremath{\alpha}$ width of the 7.12-MeV state must be an order of magnitude smaller than that of the ${1}^{\ensuremath{-}}$ state (9.58 MeV).
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