Efimov-like physics in fraction-dimensional Bose systems with three-body interaction

Abstract

A few-body properties of spinless Bose particles interacting via the contact three-body potential in geometries with fractional dimensions $1<d<2$ are considered. In the four-body sector at three-body resonance we predict the existence of infinite tower of the Efimov bound states, and a similar behavior is found in the five-body problem. It is shown that a ratio of the high-energy levels in these two sectors is a universal constant. The consequences of emergence of the Efimov physics on the many-body behavior are briefly discussed.

7+epsilon pages, 4 figures; comments are welcome

References in corpus (9)

• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Universal Properties of the Four-Body System with Large Scattering Length
• Quantum droplet of one-dimensional bosons with a three-body attraction
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Three-body repulsive forces among identical bosons in one dimension
• Higher-order effective interactions for bosons near a two-body zero crossing
• Anomalous frequency shifts in a one-dimensional trapped Bose gas
• Virial Expansion for a Three-Component Fermi Gas in One Dimension: The Quantum Anomaly Correspondence
• Ground-state properties of dilute spinless fermions in fractional dimensions