The van der Waals interaction as the starting point for an effective field theory

Abstract

We consider the system of three ${}^4$He atoms to assess whether a pure van der Waals potential can be used as a starting point for an effective field theory to describe three-body processes in ultracold atomic systems. Using a long-range van der Waals interaction in combination with short-distance two-body counterterms, we analyze the dependence of two- and three-body observables on the short-distance regulator that is required due to the singular nature of the van der Waals interaction. We benchmark our approach with results obtained with the realistic ${}^4$He-${}^4$He LM2M2 interaction and find good agreement. We furthermore show that in this effective field theory approach no three-body force is required at leading order and that universal van der Waals physics leads to a universal correlation between three-body observables in the absence of an Efimov three-body parameter.

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Cited by in corpus (5)

• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
• Synergy between deep neural networks and the variational Monte Carlo method for small ${}^{4}H{e}_N$ clusters
• Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
• Universality in Ionic Three-body Systems Near an Ion-atom Feshbach Resonance