The Three-Body Continuum Coulomb Problem and the 3$\alpha$ Structure of   $^{12}$C
  We introduce an approach, based on the coordinate space Faddeev equations, to solve the quantum mechanical three-body Coulomb problem in the continuum. We apply the approach to compute measured properties of the first two $0^+$ levels in $^{12}$C, including the width of the excited level, in a 3$\alpha$-particle model. We use the two-body interaction which reproduces the low energy $\alpha$-$\alpha$ scattering data and add a three-body force to account for the compound state admixture. 
D.V.Fedorov (ECT*), A.S.Jensen (Aarhus)