Electromagnetic transition rates of Carbon-12 and Oxygen-16 in rotational-vibrational models

Abstract

We develop a formalism to calculate electromagnetic (EM) transition rates for rotational-vibrational models of nuclei. The formalism is applied to recently proposed models of Carbon-12 and Oxygen-16 which are inspired by nuclear dynamics in the Skyrme model. We compare the results to experimental data, as well as other nuclear models. The results for Carbon-12 are in good agreement with the data across all models, making it difficult to differentiate the models. More experimental data is needed to do this, and we suggest which transitions would be most interesting to measure. The models of Oxygen-16 are less successful in describing the data, and we suggest some possible improvements to our approximations which may help.

arXiv comment18 pages, 5 figures

References in corpus (13)

• Structure and rotations of the Hoyle state
• Evidence for Triangular D_3h Symmetry in 12C
• Ab initio calculation of the spectrum and structure of ${}^{16}$O
• Evidence for tetrahedral symmetry in 16O
• The algebraic cluster model. Three-body clusters
• Resonance states in 12C and alpha-particle condensation
• A dynamical $\alpha$-cluster model of ${}^{16}$O
• States of Carbon-12 in the Skyrme Model
• The Algebraic Cluster Model: Structure of 16O
• An Alpha Particle Model for Carbon-12
• Oxygen-16 Spectrum from Tetrahedral Vibrations and their Rotational Excitations
• Electromagnetic Transition Strengths for Light Nuclei in the Skyrme model
• Electromagnetic selection rules in the triangular alpha-cluster model of 12C

Cited by in corpus (4)

• A False Vacuum Skyrme Model for Nuclear Matter
• Magnetic dipole moments as a strong signature for $\alpha$-clustering in even-even self-conjugate nuclei
• Supersolidity of $\alpha$ cluster structure in ${}^{40}$Ca
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties