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INT S@INT Seminar: "Discrete Scale Invariance and Structure"

U. van Kolck, Centre National de la Recherche Scientifique and University of Arizona
Thursday, October 8, 2020 - 10:30am


When nonrelativistic particles interact through short-range forces near the unitarity limit, the two-body system is approximately scale invariant. Renormalization for more-body systems requires a three-body force, which lies on a limit cycle and breaks the symmetry to a discrete subgroup. The remaining, approximate discrete scale invariance gives rise to nearly geometric towers of excited states, including the famous Efimov three-body spectrum. In leading order, all energies are related through the one dimensionful parameter of the three-body force, an example being the Tjon correlation between three- and four-body ground-state energies. I discuss the implications for larger systems, in particular saturation for bosons (such as certain atoms near Feshbach resonances) and clustering for (multi-component) fermions (such as nucleons).

Zoom link will be available via announcement email, or by contacting: stroberg[at]

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