The Algebraic Cluster Model: Structure of 16O

Abstract

We discuss an algebraic treatment of four-body clusters which includes both continuous and discrete symmetries. In particular, tetrahedral configurations with T(d) symmetry are analyzed with respect to the energy spectrum, transition form factors and B(EL) values. It is concluded that the low-lying spectrum of 16O can be described by four alpha-particles at the vertices of a regular tetrahedron, not as a rigid structure but rather a more floppy structure with relatively large rotation-vibration interactions and Coriolis forces.

29 pages, 9 figures, 7 tables, Nuclear Physics A, in press. arXiv admin note: text overlap with arXiv:1606.01306

References in corpus (5)

• Structure and rotations of the Hoyle state
• Evidence for Triangular D_3h Symmetry in 12C
• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Evidence for tetrahedral symmetry in 16O
• Geometrical symmetries of nuclear systems: D(3h) and T(d) symmetries in light nuclei

Cited by in corpus (25)

• ${}^{16}{\mathrm{O}}^{16}\mathrm{O}$ at RHIC and the LHC comparing $\alpha$ clustering vs substructure
• Cluster structure of light nuclei
• Real-time evolution method and its application to 3$\alpha$ cluster system
• Exploring the compactness of $\alpha$ cluster in ${}^{16}$O nuclei with relativistic ${}^{16}$O+${}^{16}$O collisions
• Tetrahedral $4\alpha$ and ${}^{12}\text{C}+\alpha$ cluster structures in ${}^{16}$O
• Cluster structure of 20Ne: Evidence for D(3h) symmetry
• Non-trivial effect for the large radius at the dripline of Oxygen isotopes
• Isoscalar dipole excitations in ${}^{16}$O
• Investigation of spatial manifestation of $\alpha$ clusters in ${}^{16}$O via $\alpha$-transfer reactions
• Nonlocalized motion in two-dimensional container of $\alpha$ particles in $3^{-}$ and $4^{-}$ states of ${}^{12}$C
• Alpha-induced inelastic scattering and alpha-transfer reactions in ${}^{12}$C and ${}^{16}$O within the Algebraic Cluster Model
• First microscopic coupled-channel calculation of $\alpha$ inelastic cross sections on ${}^{16}$O
• 16O within the Semimicroscopic Algebraic Cluster Model and the importance of the Pauli Exclusion Principle
• Cluster structure of 21Ne and 21Na
• Electromagnetic transition rates of Carbon-12 and Oxygen-16 in rotational-vibrational models
• Effective Mass of $\alpha$-Cluster in ${}^{12}$C Nucleus
• Discrete symmetries in the cluster shell model
• Symmetries and order in cluster nuclei
• Magnetic dipole moments as a strong signature for $\alpha$-clustering in even-even self-conjugate nuclei
• First order Coriolis-coupling for rotational spectrum of a tetrahedrally-deformed core plus one-particle system
• Electromagnetic transitions in the algebraic cluster model
• Mapped $spdf$ interacting boson model for quadrupole-octupole collective states in nuclei
• Odd-mass nuclei in the cluster shell model
• Splitting of single-particle levels in clusters potentials
• Algebraic cluster models calculations for shape phase transitions of boson-fermion systems