Two- and three-alpha systems with nonlocal potential

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Two body data alone cannot determine the potential uniquely, one needs three-body data as well. A method is presented here which simultaneously fits local or nonlocal potentials to two-body and three-body observables. The interaction of composite particles, due to the Pauli effect and the indistinguishability of the constituent particles, is genuinely nonlocal. As an example, we use a Pauli-correct nonlocal fish-bone type optical model for the $α-α$ potential and derive the fitting parameters such that it reproduces the two-$α$ and three-$α$ experimental data.
16 pages, 5 figures, Inverse Scattering Conference, Aug 2007, Siofok, Hungary New reference added

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