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Related papers: Three-body contact for fermions. I. General relati…

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The 3-body recombination rate at threshold for distinguishable atoms with large negative pair scattering lengths is calculated in the zero-range approximation. The only parameters in this limit are the 3 scattering lengths and the Efimov…

Other Condensed Matter · Physics 2013-05-29 Eric Braaten , H. -W. Hammer , Daekyoung Kang , Lucas Platter

In this study we aim for quantifying the role of in-medium 3$\leftrightarrow$3 collisions for systems of fermions which initially are out-off equilibrium. The formulation of the 3-body dynamics is based on the equations of motion method for…

Nuclear Theory · Physics 2025-05-29 Wolfgang Cassing

We discuss the three-body properties of identical bosons exhibiting large scattering length in two spatial dimensions. Within an effective field theory for resonant interactions, we calculate the leading non-universal corrections from the…

Quantum Gases · Physics 2015-03-17 K. Helfrich , H. -W. Hammer

Three-body recombination, or ternary association, is a termolecular reaction in which three particles collide, forming a bound state between two, whereas the third escapes freely. Three-body recombination reactions play a significant role…

Chemical Physics · Physics 2023-08-03 Marjan Mirahmadi , Jesús Pérez-Ríos

We study the short-range correlation strength of three dimensional spin half dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction is modeled by the contact pseudopotential. In the high temperature limit, we derive…

Quantum Gases · Physics 2012-04-17 Zhenhua Yu

Properties of two identical particles of mass $m$ and a distinct particle of mass $m_1$ in the universal low-energy limit of zero-range two-body interaction are studied in different sectors of total angular momentum $L$ and parity $P$. For…

Quantum Gases · Physics 2019-04-11 O. I. Kartavtsev , A. V. Malykh

We derive the asymptotic expansions of the wave function of three particles having equal mass with finite-range interactions and infinite or zero two-dimensional scattering length colliding at zero energy and zero orbital angular momentum,…

Quantum Gases · Physics 2024-04-30 Junjie Liang , Shina Tan

We study three same spin state fermions of mass M interacting with a distinguishable particle of mass m in the unitary limit where the interaction has a zero range and an infinite s-wave scattering length. We predict an interval of mass…

Quantum Gases · Physics 2015-05-19 Yvan Castin , Christophe Mora , Ludovic Pricoupenko

We present a comprehensive derivation of a set of universal relations for spin-orbit-coupled Fermi gases in three or two dimension, which follow from the short-range behavior of the two-body physics. Besides the adiabatic energy relations,…

Quantum Gases · Physics 2020-04-29 Cai-Xia Zhang , Shi-Guo Peng , Kaijun Jiang

We experimentally investigate the unitarity-limited behavior of the three-body loss near a p-wave Feshbach resonance in a single-component Fermi gas of $^6$Li atoms. At the unitarity limit, the three-body loss coefficient $L_{3}$ exhibits…

Quantum Gases · Physics 2018-08-15 Muhammad Waseem , Jun Yoshida , Taketo Saito , Takashi Mukaiyama

We derive exact relations for $N$ spin-1/2 fermions with zero-range or short-range interactions, in continuous space or on a lattice, in $2D$ or in $3D$, in any external potential. Some of them generalize known relations between energy,…

Quantum Gases · Physics 2019-03-20 Félix Werner , Yvan Castin

We report the creation and the study of the stability of a repulsive quasi-homogeneous spin-$1/2$ Fermi gas with contact interactions. For the range of scattering lengths $a$ explored, the dominant mechanism of decay is a universal…

We investigate many-body properties of equally populated three-component fermions with attractive three-body contact interaction in one dimension. A diagrammatic approach suggests the possible occurrence of Cooper triples at low…

Quantum Gases · Physics 2024-03-20 Hiroyuki Tajima , Shoichiro Tsutsui , Takahiro M. Doi , Kei Iida

The Bethe-Salpeter equation for three bosons with zero-range interaction is solved for the first time. For comparison the light-front equation is also solved. The input is the two-body scattering length and the outputs are the three-body…

Nuclear Theory · Physics 2017-05-24 E. Ydrefors , J. H. Alvarenga Nogueira , V. Gigante , T. Frederico , V. A. Karmanov

We provide a general discussion on the importance of three-body Efimov physics for strongly interacting ultracold quantum gases. Using the adiabatic hyperspherical representation, we discuss a universal classification of three-body systems…

Atomic Physics · Physics 2018-02-14 Jose P. D'Incao

We discuss three-body recombination of ultra-cold atoms to a weakly bound $s$ level. In this case, characterized by large and positive scattering length $a$ for pair interaction, we find a repulsive effective potential for three-body…

atom-ph · Physics 2009-10-28 P. O. Fedichev , M. W. Reynolds , G. V. Shlyapnikov

We describe three-body collisions close to a Feshbach resonance by taking into account two-body scattering processes involving both the open and the closed channel. We extract the atom-dimer scattering length and the three-body…

Other Condensed Matter · Physics 2014-11-17 P. Massignan , H. T. C. Stoof

We consider either 3 spinless bosons or 3 equal mass spin-1/2 fermions, interacting via a short range potential of infinite scattering length and trapped in an isotropic harmonic potential. For a zero-range model, we obtain analytically the…

Other Condensed Matter · Physics 2016-08-16 Félix Werner , Yvan Castin

This work analyzes the three and four equal-mass fermionic systems near and at the $s$- and $p$-wave unitary limits using hyperspherical methods. The unitary regime addressed here is where the two-body dimer energy is at zero energy. For…

Atomic Physics · Physics 2025-11-25 Michael D. Higgins , Chris H. Greene

We investigate the stability of a three spin state mixture of ultracold fermionic $^6$Li atoms over a range of magnetic fields encompassing three Feshbach resonances. For most field values, we attribute decay of the atomic population to…

Atomic Physics · Physics 2009-05-01 J. H. Huckans , J. R. Williams , E. L. Hazlett , R. W. Stites , K. M. O'Hara