Thomas Neff, Hans Feldmeier
Published 2014-09-12Version 1
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.
Comments: 7 pages, Talk given at SOTANCP3, 3rd International Workshop on State of the Art in Nuclear Cluster Physics, Yokohama, Japan, May 26-30, 2014
The 3$α$ correlations of ground and excited $0^+$ states of $^{12}\mathrm{C}$ within the microscopic cluster model
Hindrance of the excitation of the Hoyle state and the ghost of the $2^+_2$ state in $^{12}$C
Decay Modes of the Hoyle State in $^{12}C$
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