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Related papers: Universality in fermionic dimer-dimer scattering

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The system of four identical bosons is studied using momentum-space equations for the four-particle transition operators. Positions, widths and existence limits of universal unstable tetramers are determined with high accuracy. Their effect…

Atomic Physics · Physics 2013-04-22 A. Deltuva

The thermodynamic properties of two-component Fermi gases with divergent scattering length is investigated and the transition temperature for the emergence of a stable dimeric gas is obtained by a simple theoretical model where the unique…

Statistical Mechanics · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu , Mingsheng Zhan

The atom-dimer and dimer-dimer scattering lengths are analytically calculated in an expansion around four spatial dimensions for fermions with a large 2-body scattering length 'a'. We find the atom-dimer scattering length a_ad/a = 4/3-2/9…

Nuclear Theory · Physics 2007-05-23 Gautam Rupak

In the systems of spin $\frac12$ fermions with resonant $S$-wave interactions supporting only weakly bound dimers the antisymmetry forbids recombination of three (or more) fermions at zero energy. However, the fermion-fermion-dimer…

Quantum Gases · Physics 2021-09-02 A. Deltuva

We discuss how to consistently use Effective Field Theories (EFTs) to set universal bounds on heavy-mediator Dark Matter at colliders, without prejudice on the model underlying a given effective interaction. We illustrate the method for a…

High Energy Physics - Phenomenology · Physics 2015-05-18 Davide Racco , Andrea Wulzer , Fabio Zwirner

Thermal rate coefficients for some atomic collisions have been observed to be remarkably independent of the details of interatomic interactions at short range. This makes these rate coefficients universal functions of the long-range…

Atomic Physics · Physics 2024-12-20 Xuyang Guo , Kirk W. Madison , James L. Booth , Roman V. Krems

The momentum density, $n(k)$ of interacting many-body Fermionic systems is studied (for $k>k_F)$ using examples of several well-known two-body interaction models. This work shows that $n(k)$ can not be approximated by a zero-range model for…

Nuclear Theory · Physics 2018-02-14 Gerald A. Miller

We consider a dimer formed by two particles with an attractive contact interaction in one dimension, colliding with a hard wall. We compute the scattering phase shifts and the reflection coefficients for various collision energies and…

Quantum Gases · Physics 2026-03-17 Xican Zhang , Shina Tan

Recent theoretical developments in the four-boson system with resonant interactions are described. Momentum-space scattering equations for the four-particle transition operators are used. The properties of unstable tetramers with…

Atomic Physics · Physics 2015-06-12 A. Deltuva

In a system of ultracold atoms near a Feshbach resonance, pairs of atoms can be associated into universal dimers by an oscillating magnetic field with frequency near that determined by the dimer binding energy. We present a simple…

Quantum Gases · Physics 2015-03-18 Christian Langmack , D. Hudson Smith , Eric Braaten

Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum…

Quantum Gases · Physics 2015-05-28 K. Helfrich , H. -W. Hammer

We consider interacting Fermi systems close to the unitary regime and compute the corrections to the energy density that are due to a large scattering length and a small effective range. Our approach exploits the universality of the density…

Nuclear Theory · Physics 2009-02-05 Anirban Bhattacharyya , T. Papenbrock

This report concerns the energy of a zero-temperature many-body system of spin 1/2 fermions interacting via a two-body potential with a free space infinite scattering length and zero effective range; the Unitary limit. Given the…

Nuclear Theory · Physics 2007-05-23 H. S. Kohler

We investigate the energy spectrum of systems of two, three and four spin-1/2 fermions with short range attractive interactions both exactly, and within the scattering length approximation. The formation of molecular bound states and the…

Quantum Gases · Physics 2011-09-09 S. Q. Zhou , D. M. Ceperley , Shiwei Zhang

We develop an Effective Field Theory (EFT) for a system with three distinguishable atomic species and present a variational calculation of the two and three-body binding energies in vacuum and in the presence of a single Fermi sea.…

Quantum Gases · Physics 2026-05-19 Ronnie Slowinski , Gaël Servignat , Frédéric Chevy , Carlos Lobo

We investigate four-fermion interactions with $N$-component fermion in Einstein universe for arbitrary space-time dimensions ($2 \leq D<4$). It is found that the effective potential for composite operator $\overline{\psi}\psi$ is calculable…

High Energy Physics - Theory · Physics 2007-05-23 K. Ishikawa , T. Inagaki , T. Muta

We study the collisional properties of an ultracold mixture of cesium atoms and dimers close to a Feshbach resonance near 550G in the regime of positive $s$-wave scattering lengths. We observe an atom-dimer loss resonance that is related to…

Bosonic atom-trimer scattering is studied in the unitary limit using momentum-space equations for four-particle transition operators. The impact of the Efimov effect on the atom-trimer scattering observables is explored and a number of…

Atomic and Molecular Clusters · Physics 2011-01-17 A. Deltuva

We consider a homogeneous, balanced gas of strongly interacting fermions in two spin states interacting through a large scattering length. Finite range corrections are needed for a quantitative description of data which experiments and…

Quantum Gases · Physics 2017-01-20 Samuel B. Emmons , Daekyoung Kang , Lucas Platter

Mixtures of polarised fermions of two different masses can form weakly-bound clusters, such as dimers and trimers, that are universally described by the scattering length between the heavy and light fermions. We use the resonating group…

Quantum Gases · Physics 2016-02-17 Pascal Naidon , Shimpei Endo , Antonio M. García-García