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The Three-Body Continuum Coulomb Problem and the 3$α$ Structure of $^{12}$C

D. V. Fedorov·A. S. Jensen
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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 $^{12}$C, including the width of the excited level, in a 3$α$-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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D. V. Fedorov, A. S. Jensen. 1996-10-30. The Three-Body Continuum Coulomb Problem and the 3$α$ Structure of $^{12}$C. https://doi.org/10.1016/s0370-2693(96)01375-5

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