Low-lying C-12 continuum states in three-alpha mod

The electromagnetic monopole (E0) transition of the C-12 nucleus, the 0(+) ground state to three alpha-particles (3 alpha) continuum states, is calculated by applying the Fad-deev three-body formalism in coordinate space accommodating the long range Coulomb potential between alpha particles. Results show that there are two 0(+) states, C-12(0(3)(+)) and C-12(0(4)(+)) states at excitation energies around 10 MeV, which is consistent with results of recent semi-microscopic calculations and analysis of alpha-C-12 inelastic scattering.