Abstract
The Fourier transform of the Born term of the AGS equation in the NNπ-system generates an energy-dependent Yukawa-type local NN-quasi-potential. An appropriate average with respect to energy suggests a variety of local NN-potentials with different ranges: 1/r(r + a)m−1 (for 2 ≤ m) where in the long range region it becomes 1/r m, while in the short range region the Yukawa-type potential e −(m−1)r/a/r results. Therefore, one finds that the Yukawa potential is automatically accompanied by an additional longer range interaction 1/r m. For m = 2, the potential 1/r 2 produces Efimov-like bound states in the deuteron spectra. The m = 6, 7 cases lead to the Van der Waals potential.
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References
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Oryu, S. Long Range Potential Component in the NN Force. Few-Body Syst 54, 283–286 (2013). https://doi.org/10.1007/s00601-012-0358-6
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DOI: https://doi.org/10.1007/s00601-012-0358-6