Symplectic symmetry approach to multicluster nuclear systems: The case of 16O

Abstract

Symplectic symmetry approach to clustering (SSAC) in the atomic nucleus is generalized for the more general multicluster nuclear systems. In the limiting case when $A_1=A_2=\dots =A_k=4$ one obtains a microscopic counterpart within the SSAC of the wide class of various multi-α-particle cluster models. As an example, the new microscopic approach is applied to the 4α cluster nuclear system of ¹⁶O. A good description for the excited states in the lowest $K^{\pi }=0_1^{+}$, $K^{\pi }=0_2^{+}$, $K^{\pi }=0_1^{-}$, $K^{\pi }=2_1^{+}$, $K^{\pi }=3_1^{-}$ and $K^{\pi }=1_1^{-}$ bands in ¹⁶O with experiment, as well as for the experimentally known $B\left(E2\right)$ low-energy transitions without the use of an effective charge, is obtained.