A new $\ensuremath{\alpha}$-cluster wave function is proposed which is of the $\ensuremath{\alpha}$-particle condensate type. Applications to ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ show that states of low density close to the 3 and 4 $\ensuremath{\alpha}$-particle thresholds in both nuclei are ...
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