Abstract
The fixed-slope correlation between tetramer and trimer binding energies, observed by Tjon in the context of nuclear physics, is mainly a manifestation of the dominance of the two-nucleon force in the nuclear potential, which makes the four-body scale on the order of the three-body one. In a more general four-boson case, the correlation between tetramer and trimer binding energies has a non-fixed slope, which expresses the dependence on the new scale. The associated scaling function generates a family of Tjon lines. This conclusion relies on a recent study with weakly-bound four identical bosons, within a renormalized zero-range Faddeev-Yakubovsky formalism.
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Tomio, L., Delfino, A., Frederico, T. et al. Tjon Lines and Scaling Limit in Four-Body Systems. Few-Body Syst 54, 213–216 (2013). https://doi.org/10.1007/s00601-012-0356-8
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DOI: https://doi.org/10.1007/s00601-012-0356-8