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

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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LaTeX, 8 pages, 3 postscript figures, revised version, to be published in Phys.Let.B

Scientific paper

10.1016/S0370-2693(96)01375-5

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.

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