Four-body physics in low-dimensional bosons with three-body interaction

• URL: http://arxiv.org/abs/2506.18043v1
• Date: Sun, 22 Jun 2025 14:08:14 GMT
• Title: Four-body physics in low-dimensional bosons with three-body interaction
• Authors: V. Polkanov, O. Hryhorchak, V. Pastukhov,
• Abstract summary: A two-channel model for bosons with the three-body interaction is proposed.<n>A detailed exploration of the Efimov-like effect in the fractal-dimension system of four bosons is carried out.<n> Peculiarities of the four-body bound states and the low-energy atom-trimer scattering in one dimension are revealed.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The two-channel model for bosons with the three-body interaction is proposed. Similar to the Hamiltonian describing narrow Feshbach resonance in the two-body sector, our model includes the finite-range effects of the three-body potential and is well-defined in the ultraviolet (UV). A detailed exploration of the Efimov-like effect in the fractal-dimension system of four bosons is carried out. Peculiarities of the four-body bound states and the low-energy atom-trimer scattering in one dimension are revealed.

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