Ground state energy of the low density Bose gas with three-body interactions

Abstract

We consider the low density Bose gas in the thermodynamic limit with a three-body interaction potential. We prove that the leading order of the ground state energy of the system is determined completely in terms of the scattering energy of the interaction potential. The corresponding result for two-body interactions was proved in seminal papers of Dyson (1957) and Lieb--Yngvason (1998).

References in corpus (3)

• The Second Order Upper Bound for the Ground Energy of a Bose Gas
• The condensation of a trapped dilute Bose gas with three-body interactions
• Rate of convergence towards mean-field evolution for weakly interacting bosons with singular three-body interactions

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• Local Density Approximation and Other Limit Regimes for a Homogeneous Bose Gas with Repulsive Three-Body Interactions in Low-Dimensional Space
• Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the two-dimensional case