Department of Fine Materials Engineering, Shinshu University, Ueda 386-8567, Japan.
A new alpha-cluster wave function is proposed which is of the alpha-particle condensate type. Applications to 12C and 16O show that states of low density close to the 3 and 4 alpha-particle thresholds in both nuclei are possibly of this kind. It is conjectured that all self-conjugate 4n nuclei may show similar features.