The Three-Body Continuum Coulomb Problem and the 3α Structure of 12C

Abstract

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 12C, including the width of the excited level, in a 3α-particle model. We use the two-body interaction which reproduces the low energy α-α scattering data and add a three-body force to account for the compound state admixture.

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