A dynamical $\alpha$-cluster model of ${}^{16}$O

Abstract

We calculate the low-lying spectrum of the ${}^{16}$O nucleus using an $\alpha$-cluster model which includes the important tetrahedral and square configurations. Our approach is motivated by the dynamics of $\alpha$-particle scattering in the Skyrme model. We are able to replicate the large energy splitting that is observed between states of identical spin but opposite parities, as well as introduce states that were previously not found in other cluster models, such as a $0^{-}$ state. We also provide a novel interpretation of the first excited state of ${}^{16}$O and make predictions for the energies of $6^{-}$ states that have yet to be observed experimentally.

5 pages, 9 figures

References in corpus (4)

• Evidence for tetrahedral symmetry in 16O
• Skyrmions and the alpha-particle model of nuclei
• States of Carbon-12 in the Skyrme Model
• Cluster structures in Oxygen isotopes

Cited by in corpus (6)

• Generalized Skyrme model with the loosely bound potential
• Tetrahedral $4\alpha$ and ${}^{12}\text{C}+\alpha$ cluster structures in ${}^{16}$O
• Oxygen-16 Spectrum from Tetrahedral Vibrations and their Rotational Excitations
• Effect of Coulomb energy on Skyrmions
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Lightly Bound Skyrmions, Tetrahedra and Magic Numbers