Work

Ground state energy of a dilute Bose gas with three-body hard-core interactions

Year: 2026

Type: article

Abstract: We consider a gas of bosons interacting through a three-body hard-core potential in the thermodynamic limit. We derive an upper bound on the ground state energy of the system at the leading order using a Jastrow factor. Our result matches the lower bound proven by Nam-Ricaud-Triay (J Math Phys 63:071903, 2022) and therefore resolves the leading order. Moreover, a straightforward adaptation of our proof can be used for systems interacting via combined two-body and three-body interactions to generalise Theorem 1.2 from (Ann. Henri Poincaré, 2026) to hard-core potentials.

Source: Letters in Mathematical Physics

DOI: 10.1007/s11005-026-02067-7

Authors: Lukas Junge, François L. A. Visconti

Institutions: University of Copenhagen, Ludwig-Maximilians-Universität München

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: European Commission, Deutsche Forschungsgemeinschaft