Skyrmion dynamics on the unstable manifold and the nucleon-nucleon interaction
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 1997
- DOI:
- 10.48550/arXiv.nucl-th/9705040
- arXiv:
- arXiv:nucl-th/9705040
- Bibcode:
- 1997nucl.th...5040W
- Keywords:
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- Nuclear Theory
- E-Print:
- 10 pages (RevTeX), 4 Postscript figures