Peculiarity of the ${}^{12}$C$(0^{+})$ and ${}^{12}$C$(2^{+})$ energy spectrum in a 3$\alpha$ model

E. M. Tursunov, I. Mazumdar

Lowest energy spectrum of the ${}^{12}$C nucleus is analyzed in the 3$\alpha$ cluster model with a deep $\alpha \alpha$-potential of Buck, Friedrich and Wheatley with Pauli forbidden states in the $…