The Hoyle state and its relatives

Abstract

The Hoyle state and other resonances in the continuum above the 3 alpha threshold in 12C are studied in a microscopic cluster model. Whereas the Hoyle state is a very sharp resonance and can be treated reasonably well in bound state approximation, the other higher lying states require a proper treatment of the continuum. The model space consists of an internal region with 3 alpha particles on a triangular grid and an external region consisting of the 8Be ground state and excited (pseudo)-states of 8Be with an additional alpha. The microscopic R-matrix method is used to match the many-body wave function to the asymptotic Coulomb behavior of bound states, Gamow states and scattering states. 8Be-alpha phase shifts are analyzed and resonance properties like radii and transition strengths are investigated.

7 pages, Talk given at SOTANCP3, 3rd International Workshop on State of the Art in Nuclear Cluster Physics, Yokohama, Japan, May 26-30, 2014

References in corpus (10)

• The R-matrix theory
• Ab initio calculation of the Hoyle state
• Analysis of previous microscopic calculations for second $0^{+}$ state in ${}^{12}$C in terms of 3-alpha particle Bose-condensed state
• Structure of ground and excited states of ${}^{12}$C
• Evidence for Triangular D_3h Symmetry in 12C
• Unambiguous Identification of the Second 2+ State in 12C and the Structure of the Hoyle State
• Microscopic calculation of the 3He(alpha,gamma)7Be and 3H(alpha,gamma)7Li capture cross sections using realistic interactions
• Hoyle state and rotational features in Carbon-12 within a no-core shell model framework
• Pair decay width of the Hoyle state and carbon production in stars
• Clusters and halos in light nuclei

Cited by in corpus (6)

• Microscopic Clustering in Light Nuclei
• Reorientation-effect measurement of the first 2${}^{+}$ state in ${}^{12}$C: confirmation of oblate deformation
• Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective
• Explicit inclusion of spin-orbit contribution in THSR wave function
• Precision measurement of the $E2$ transition strength to the 2${}_1^{+}$ state of ${}^{12}$C
• Fusion and reactions of $\alpha$+${}^8$Be in the Hoyle resonance and associated resonances region