Local versus nonlocal $\alpha \alpha$ interactions in $3\alpha$ description of ${}^{12}$C

Abstract

Local $\alpha \alpha$ potentials fail to describe ${}^{12}$C as a $3\alpha$ system. Nonlocal $\alpha \alpha$ potentials that renormalize the energy-dependent kernel of the resonating group method allow interpreting simultaneously the ground state and $0_2^{+}$ resonance of ${}^{12}$C as $3\alpha$ states. A comparison with fully microscopic calculations provides a measure of the importance of three-cluster exchanges in those states.

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References in corpus (9)

• Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis
• Redundant Components in the 3 alpha Faddeev Equation Using 2 alpha RGM Kernel
• Faddeev calculation of 3 alpha and alpha alpha Lambda systems using alpha alpha resonating-group method kernel
• Three-Cluster Equation Using Two-Cluster RGM Kernel
• Comparative variational studies of $0^{+}$ states in three-$\alpha$ models
• Variational Calculations of the ${}^{12}C$ Nucleus Structure in a 3$\alpha$ Model Using a Deep Potential with Forbidden States
• Removal of forbidden states in a three-$\alpha$ system
• Case of Almost Redundant Components in 3 alpha Faddeev Equations
• Solving Three-Cluster OCM Equations in the Faddeev Formalism

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