Abstract
The rotational bands of $\ensuremath{\alpha}+^{15}\mathrm{O}(1{2}^{\ensuremath{-}})$ in $^{19}\mathrm{Ne}$ are calculated by employing a simple potential model. The $\ensuremath{\alpha}\ensuremath{-}^{15}\mathrm{O}$ interaction potential is constructed from the calculation of the $^{20}\mathrm{Ne}=\ensuremath{\alpha}+^{16}\mathrm{O}$ structure and the $\ensuremath{\alpha}+^{15}\mathrm{N}$ elastic scattering. The resonant levels and their decay width are identified by imposing the absorbing boundary condition. The present calculations predict the sequence of the discrete and overlapping resonances in the negative- and positive-parity states of $^{19}\mathrm{Ne}$, respectively. The excitation function of the $\ensuremath{\alpha}+^{15}\mathrm{O}$ elastic scattering is also calculated, and the appropriate condition to observe the resonances is discussed.
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