English

Universality of semisuper-Efimov effect

Quantum Gases 2020-02-19 v1 Nuclear Theory

Abstract

We study the semisuper-Efimov effect, which is found for four identical bosons with a resonant three-body interaction in 2D, in various systems. Based on solutions of bound-state and renormalization-group equations, we first demonstrate an emergence of the semisuper-Efimov effect in mass-imbalanced bosons in 2D. Compared with the Efimov and the super-Efimov effects, the mass ratio-dependent scaling parameter is unexpectedly found to take on a finite value even for extremely mass-imbalanced situations, where the mass ratio is 0 or \infty. By a renormalization-group analysis, we also show that a weak two-body interaction sustains the semisuper-Efimov effect. Finally, we liberate the universality of the semisuper-Efimov effect from 2D by showing that bosons with linear-dispersion relation support the semisuper-Efimov effect in 1D.

Keywords

Cite

@article{arxiv.2002.07330,
  title  = {Universality of semisuper-Efimov effect},
  author = {Yusuke Horinouchi},
  journal= {arXiv preprint arXiv:2002.07330},
  year   = {2020}
}
R2 v1 2026-06-23T13:44:47.451Z