@article{Platter2005,
abstract = {We consider the correlation between the binding energies of the triton and the $\alpha$-particle which is empirically observed in calculations employing different phenomenological nucleon-nucleon interactions. Using an effective quantum mechanics approach for short-range interactions with large scattering length |a|≫ℓ, where ℓ is the natural low-energy length scale, we construct the effective interaction potential at leading order in ℓ/|a|. In order to renormalize the four-nucleon system, it is sufficient to include a SU(4)-symmetric one-parameter three-nucleon interaction in addition to the S-wave nucleon-nucleon interactions. The absence of a four-nucleon force at this order explains the empirically observed correlation between the binding energies of the triton and the $\alpha$-particle. We calculate this correlation and obtain a prediction for the $\alpha$-particle binding energy. Corrections to our results are suppressed by ℓ/|a|. {\textcopyright} 2004 Elsevier B.V. All rights reserved.},
author = {Platter, L. and Hammer, H. W. and Mei{\ss}ner, Ulf G.},
doi = {10.1016/j.physletb.2004.12.068},
issn = {03702693},
journal = {Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics},
number = {3-4},
pages = {254--258},
title = {{On the correlation between the binding energies of the triton and the $\alpha$-particle}},
volume = {607},
year = {2005}
}

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