Ground-state properties of dilute one-dimensional Bose gas with three-body repulsion

Highlights: • Explored an exact universal behavior of the Bose gas with a short-range three-body repulsion. • Calculated the impact of weak three-body potential on thermodynamics of the system. -- Abstract: We determined perturbatively the low-energy universal thermodynamics of dilute one-dimensional bosons with the three-body repulsive forces. The final results are presented for the limit of vanishing potential range in terms of three-particle scattering length. An analogue of Tan's energy theorem for considered system is derived in generic case without assuming weakness of the interparticle interaction. We also obtained an exact identity relating the three-body contact to the energy density.