Cluster structure of light nuclei

Abstract

We review recent studies of the cluster structure of light nuclei within the framework of the algebraic cluster model (ACM) for nuclei composed of k alpha-particles and within the framework of the cluster shell model (CSM) for nuclei composed of k alpha-particles plus x additional nucleons. The calculations, based on symmetry considerations and thus for the most part given in analytic form, are compared with experiments in light cluster nuclei. The comparison shows evidence for Z_2, D_{3h} and T_d symmetry in the even-even nuclei 8Be (k=2), 12C (k=3) and 16O (k=4), respectively, and for the associated double groups Z'_2 and D'_{3h} in the odd nuclei 9Be, 9B (k=2, x=1) and 13C (k=3, x=1), respectively.

75 pages, 36 figures, 11 tables, final versión, Progress in Particle and Nuclear Physics (2019), in press

References in corpus (6)

• Structure and rotations of the Hoyle state
• Excited state quantum phase transitions in many-body systems
• Evidence for Triangular D_3h Symmetry in 12C
• Evidence for tetrahedral symmetry in 16O
• Alpha particle clusters and their condensation in nuclear systems
• Electromagnetic transitions in the algebraic cluster model

Cited by in corpus (21)

• Positive-parity linear-chain molecular band in ${}^{16}$C
• Candidates for the 5$\alpha$ condensed state in ${}^{20}$Ne
• Unexpectedly enhanced $\alpha$-particle preformation in ${}^{48}$Ti probed by the $(p,p\alpha )$ reaction
• Cluster structure of 20Ne: Evidence for D(3h) symmetry
• Precision measurement of the $E2$ transition strength to the 2${}_1^{+}$ state of ${}^{12}$C
• Probing configuration of $\alpha$ clusters with spectator particles in relativistic heavy-ion collisions
• Accuracy of the mean-field theory in describing ground-state properties of light nuclei
• Shape of 13C studied by the real-time evolution method
• Directly probing existence of $\alpha$-cluster structure in ${}^{20}$Ne by relativistic heavy-ion collisions
• Deformation probes for light nuclei in their collisions at relativistic energies
• Discrete symmetries in the cluster shell model
• Magnetic dipole moments as a strong signature for $\alpha$-clustering in even-even self-conjugate nuclei
• Signatures of $\alpha$-clustering in ${}^{12}$C and ${}^{13}$C
• Three-$\alpha$ configurations of the second $J^{\pi }=2^{+}$ state in ${}^{12}$C
• Shape of 12C
• Symplectic symmetry approach to clustering in atomic nuclei: The case of ${}^{24}$Mg
• Impact of pion tensor force on alpha clustering in ${}^{20}$Ne
• Quantum Phase Transitions within a nuclear cluster model and an effective model of QCD
• Quantization of skyrmions using instantons
• A comparison study of collisions at relativistic energies involving light nuclei
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics