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We study small clusters of bosons, $A=2,3,4,5,6$, characterized by a resonant interaction. Firstly, we use a soft-gaussian interaction that reproduces the values of the dimer binding energy and the atom-atom scattering length obtained with…

Atomic and Molecular Clusters · Physics 2015-06-12 M. Gattobigio , A. Kievsky , M. Viviani

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

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

In the three-body problem with positive energy, solutions which avoid triple collision have the property that the size of the triangle formed by the bodies tends to infinity as $t\rightarrow \pm\infty$. Furthermore, the triangles have…

Dynamical Systems · Mathematics 2026-02-20 Richard Moeckel

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

We investigate the zero-temperature properties of an impurity particle interacting with a Bose-Einstein condensate (BEC), using a variational wavefunction that includes up to two Bogoliubov excitations of the BEC. This allows one to capture…

Quantum Gases · Physics 2015-10-21 Jesper Levinsen , Meera M. Parish , Georg M. Bruun

We calculate the spectrum of three-body Efimov bound states near a Feshbach resonance within a model which accounts both for the finite range of interactions and the presence of background scattering. The latter may be due to direct…

Quantum Gases · Physics 2018-04-03 Christian Langmack , Richard Schmidt , Wilhelm Zwerger

Efimov physics at $p$-wave unitarity for three equal mass fermions in multiple symmetries interacting via Lennard-Jones potentials is predicted to modify the long range interaction potential energy, but without producing a true Efimov…

Atomic Physics · Physics 2025-11-26 Yu-Hsin Chen , Chris H. Greene

We study the Schr\"{o}dinger equation with $1/r^3$ and attractive $1/r^2$ potentials. Using the quantum defect theory, we obtain analytical solutions for both repulsive and attractive $1/r^3$ interactions. The obtained…

Quantum Gases · Physics 2026-01-28 Yuki Ohishi , Kazuki Oi , Shimpei Endo

We present a comprehensive collection of ultracold three-body collisions properties near overlapping Feshbach resonances. Our results incorporate variations of all scattering lengths and demonstrate novel collisional behavior, such as…

Atomic Physics · Physics 2015-05-13 J. P. D'Incao , B. D. Esry

Efimov's prediction more than three decades ago that three-body bound states can exist when the pairwise attractions do not bind or only support weakly bound states of a pair, has remained unconfirmed till just the past year. This lecture…

Quantum Physics · Physics 2007-06-11 A. R. P. Rau

We study three-body recombination in two dimensions for systems interacting via short-range two-body interactions in the regime of large scattering lengths. Using the adiabatic hyperspherical representation, we derive semi-analytical…

Quantum Physics · Physics 2014-11-11 J. P. D'Incao , Fatima Anis , B. D. Esry

Super Efimov effect is a recently proposed three-body effect characterized by a double-exponential scaling, which has not been observed experimentally yet. Here, we present the general dynamic equations determining the cloud size of a scale…

Quantum Gases · Physics 2017-11-22 Zhe-Yu Shi , Ran Qi , Hui Zhai , Zhenhua Yu

The two-body scattering length a for 4He atoms is much larger than their effective range r_s. As a consequence, low-energy few-body observables have universal characteristics that are independent of the interaction potential. Universality…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer

Low-energy neutron-${}^{19}$C scattering is studied in the three-body $n + n + {}^{18}$C model using a realistic $nn$ potential and a number of shallow and deep $n$-${}^{18}$C potentials, the latter supporting deeply-bound Pauli-forbidden…

Nuclear Theory · Physics 2017-08-07 A. Deltuva

In few-body physics, Efimov states are an infinite series of three-body bound states that obey universal discrete scaling symmetry when pairwise interactions are resonantly enhanced. Despite abundant reports of Efimov states in recent cold…

Quantum Gases · Physics 2014-12-17 Shih-Kuang Tung , Karina Jimenez-Garcia , Jacob Johansen , Colin V. Parker , Cheng Chin

When two non-relativistic particles interact resonantly in three dimensions, an infinite tower of three-body bound states emerges, exhibiting a discrete scale invariance. This universal phenomenon, known as the Efimov effect, has garnered…

Quantum Gases · Physics 2026-04-16 Ning Sun , Lei Feng , Pengfei Zhang

We have analyzed our recently-measured three-body loss rate coefficient for a Bose-Einstein condensate of spin-polarized metastable triplet 4He atoms in terms of Efimov physics. The large value of the scattering length for these atoms,…

Quantum Gases · Physics 2012-12-18 S. Knoop , J. S. Borbely , W. Vassen , S. J. J. M. F. Kokkelmans

A large two-body scattering length leads to universal behavior in few-body systems. In particular, the three-body system displays interesting features such as exact discrete scale invariance in the bound state spectrum in the limit of…

Nuclear Theory · Physics 2009-11-13 Lucas Platter

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer