Alpha cluster condensation in 12C and 16O

A new $α$-cluster wave function is proposed which is of the $α$-particle condensate type. Applications to $^{12}$C and $^{16}$O show that states of low density close to the 3 resp. 4 $α$-particle threshold in both nuclei are possibly of this kind. It is conjectured that all self-conjugate 4$n$ nuclei may show similar features.

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