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Related papers: Universality of semisuper-Efimov effect

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The Efimov effect (in a broad sense) refers to the onset of a geometric sequence of many-body bound states as a consequence of the breakdown of continuous scale invariance to discrete scale invariance. While originally discovered in…

Quantum Gases · Physics 2022-09-23 Satoshi Ohya

We introduce a new member to the class of semisuper Efimov effects, where an infinite number of bound states emerge with their binding energies obeying the universal scaling law $E_n\sim e^{-2(\pi n/\gamma)^2}$ for sufficiently high…

Quantum Gases · Physics 2025-05-23 Yusuke Nishida

We study two species of particles in two dimensions interacting by isotropic short-range potentials with the interspecies potential fine-tuned to a p-wave resonance. Their universal low-energy physics can be extracted by analyzing a…

Quantum Gases · Physics 2014-12-25 Sergej Moroz , Yusuke Nishida

Wave-particle duality in quantum mechanics allows for a halo bound state whose spatial extension far exceeds a range of the interaction potential. What is even more striking is that such quantum halos can be arbitrarily large on special…

Quantum Gases · Physics 2017-06-12 Yusuke Nishida

Armed with a new solution to the four-body problem, we reanalyze the recent Innsbruck observation of an Efimov resonance in three-body collisions of cesium atoms, and show that it provides evidence of new, universal four-body physics as…

Atomic Physics · Physics 2009-06-02 Javier von Stecher , Jose P. D'Incao , Chris H. Greene

Universal behaviour has been found inside the window of Efimov physics for systems with $N=4,5,6$ particles. Efimov physics refers to the emergence of a number of three-body states in systems of identical bosons interacting {\it via} a…

Quantum Gases · Physics 2015-06-17 M. Gattobigio , A. Kievsky

We solve the three-body bound state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero-range. The system displays the…

Quantum Gases · Physics 2013-06-21 M. T. Yamashita , F. F. Bellotti , T. Frederico , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Efimov physics is a universal phenomenon arising in quantum three-body systems. For systems with resonant two-body interactions, Efimov predicted an infinite series of three-body bound states with geometric scaling symmetry. These Efimov…

Quantum Gases · Physics 2017-09-13 Jacob Johansen , B. J. DeSalvo , Krutik Patel , Cheng Chin

The Efimov effect was first predicted for three particles interacting at an $s$-wave resonance in three dimensions. Subsequent study showed that the same effect can be realized by considering two-body and three-body interactions in mixed…

Quantum Gases · Physics 2017-09-27 Pengfei Zhang , Zhenhua Yu

Three oriented bosonic dipoles are treated using the hyperspherical adiabatic representation, providing numerical evidence that the Efimov effect persists near a two-dipole resonance and in a system where angular momentum is not conserved.…

Atomic Physics · Physics 2011-07-01 Yujun Wang , J. P. D'Incao , Chris H. Greene

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…

Quantum Gases · Physics 2022-11-30 O. Hryhorchak , V. Pastukhov

The quantum mechanical three-body problem is a source of continuing interest due to its complexity and not least due to the presence of fascinating solvable cases. The prime example is the Efimov effect where infinitely many bound states of…

Particles with short-range interactions and a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at short distances. In the 2-body sector, the universal…

Other Condensed Matter · Physics 2009-07-09 Eric Braaten , H. -W. Hammer

In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which…

Quantum Gases · Physics 2025-06-17 Langxuan Chen , Pengfei Zhang

It is well-known that three-boson systems show the Efimov effect when the two-body scattering length $a$ is large with respect to the range of the two-body interaction. This effect is a manifestation of a discrete scaling invariance (DSI).…

Quantum Gases · Physics 2015-06-19 A. Kievsky , M. Gattobigio , N. K. Timofeyuk

We study a system of spinless fermions in two dimensions with a short-range interaction fine-tuned to a p-wave resonance. We show that three such fermions form an infinite tower of bound states of orbital angular momentum l=\pm1 and their…

Quantum Gases · Physics 2013-06-07 Yusuke Nishida , Sergej Moroz , Dam Thanh Son

In this note we discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions. In particular, we consider two non-interacting identical bosons plus a different lighter particle such that the interaction…

Mathematical Physics · Physics 2026-01-29 G. Basti , D. Ferretti , A. Teta

The Efimov effect for three bosons in three dimensions requires two infinitely large $s$-wave scattering lengths. We assume two identical particles with very large scattering lengths interacting with a third particle. We use a novel…

Atomic and Molecular Clusters · Physics 2020-08-03 E. R. Christensen , A. S. Jensen , E. Garrido

For a system of three identical bosons interacting via short-range forces, when two of the atoms are about to form a two-body s-wave dimer, there exists an infinite number of three-body bound states. This effect is the well-known Efimov…

Atomic Physics · Physics 2015-06-11 Jia Wang , J. P. D'Incao , Yujun Wang , Chris H. Greene

In this work, we study the Efimov effect in a mass-imbalanced system consisting of two heavy particles and one light particle within the Born-Oppenheimer approximation. The result obtained in R. Figari, H. Saberbaghi, and A. Teta, J. Phys.…

Mathematical Physics · Physics 2025-11-21 Hamidreza Saberbaghi
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