Description of 3α-bosonic states in the 12C nucleus with local and nonlocal potentials

The 12C nucleus is investigated in a nonmicroscopic α-particle model involving local and nonlocal potentials. Faddeev equations formulated in configuration space are used to solve the three-body problem for bound and resonant states. We demonstrate that the nonlocal potential developed by Papp and Moszkowski [Mod. Phys. Lett. B 22, 2201 (2008)] appears to be particularly well adapted to study 3α clustering. We point out 12C states of positive-parity which share common features with the 02+ Hoyle states. Several negative-parity states revealing a clear bosonic α-particle structure are also obtained.