Single $\alpha$-particle orbits and Bose-Einstein condensation in ${}^{12}$C

Taiichi Yamada, Peter Schuck

The $\alpha$-bosonic properties such as single-$\alpha$ orbits and occupation numbers in $J^{\pi }$=$0^{+}$, $2^{+}$, $1^{-}$ and $3^{-}$ states of ${}^{12}$C around the $3\alpha$ threshold are investigated wit…