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Properties of $^{8}$Be and $^{12}$C deduced from the folding--potential model

The $α$--$α$ differential cross sections are analyzed in the optical model using a double--folded potential. With the knowledge of this potential bound and resonance--state properties of $α$--cluster states in $^{8}$Be and $^{12}$C as well as astrophysical S--factors of $^{4}$He($α$,$γ$)$^{8}$Be and $^{8}$Be($α$,$γ$)$^{12}$C are calculated. $Γ_γ$--widths and B(E2)--values are deduced.