Local versus nonlocal αα interactions in 3α description of 12C

Abstract

Local α α potentials fail to describe 12C as a 3α system. Nonlocal α α potentials that renormalize the energy-dependent kernel of the resonating group method allow interpreting simultaneously the ground state and 0+2 resonance of 12C as 3α states. A comparison with fully microscopic calculations provides a measure of the importance of three-cluster exchanges in those states.

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