Aspect of Clusters Correlation at Light Nuclei Excited State

The correlation of $\alpha \alpha$ was probed via measuring the transverse momentum $p_T$ and width $\delta p_T$ of one $\alpha$, for the first time, which represents the spatial and dynamical essentialities of the initial coupling state in ${}^8$Be nucleus. The weighted interaction vertex of 3$\alpha$ reflected by the magnitudes of their relative momentums and relative emission angles proves the isosceles triangle configuration for 3$\alpha$ at the high excited energy analogous Hoyle states.