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Skyrmion dynamics on the unstable manifold and the nucleon-nucleon interaction

Thomas Waindzoch·Jochen Wambach
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Abstract

The unstable manifold of the B=2 sector of the Skyrme model is constructed numerically using the gradient-flow method. Following paths of steepest descent from the B=2 hedgehog, we apply a collective coordinate description for the motion on the manifold to extract a Hamiltonian, approximately valid for the quantum description of the low-energy nucleon-nucleon interaction. The resulting potential - obtained in the Born-Oppenheimer approximation - is in qualitative agreement with phenomenological potentials.

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Thomas Waindzoch, Jochen Wambach. 1997-05-23. Skyrmion dynamics on the unstable manifold and the nucleon-nucleon interaction. https://arxiv.org/abs/nucl-th/9705040

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