Local versus nonlocal $αα$ interactions in $3α$ description of $^{12}$C
Local $αα$ potentials fail to describe $^{12}$C as a $3α$ system. Nonlocal $αα$ 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 $3α$ states. A comparison with fully microscopic calculations provides a measure of the importance of three-cluster exchanges in those states.
nucl-th↗