The bound state of <i>N</i> bosons in a one-dimensional system with pairwise and three-body interactions

A one-dimensional system of a finite number of bosons with a δ-like interaction potential is treated. A three-body boson repulsion is taken into account, along with the pairwise attraction. The bound state of N bosons is found in the self-consistent-field approximation. In such a system there is no collapse of the Bose gas, and the ground state in the thermodynamic limit is the bound state of N particles with a practically constant density. Such a state can be considered as a condensate droplet in the coordinate space.

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