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We study the dimer-dimer scattering length $a_4$ for a two-component Fermi mixture in which the different fermions have different masses $m\us$ and $m\ds$. This is made in the framework of the exact field theoretical method. In the large…

Quantum Gases · Physics 2013-05-30 F. Alzetto , R. Combescot , X. Leyronas

We use the diagrammatic $T$-matrix approach to analyze the three-body scattering problem between two identical fermions and a third particle (which could be a different species of fermion or a boson). We calculate the s-wave dimer-atom…

Quantum Gases · Physics 2015-05-18 M. Iskin

We consider two-component fermions with short-range interactions and large scattering length. This system has universal properties that are realized in several different fields of physics. In the limit of large fermion-fermion scattering…

Nuclear Theory · Physics 2017-03-15 Serdar Elhatisari , Kris Katterjohn , Dean Lee , Ulf-G. Meißner , Gautam Rupak

We consider systems of two-component fermions with unequal masses and interacting via a short-range attractive potential. We discuss the case where the two-component fermions form a shallow dimer with large scattering length. The…

Nuclear Theory · Physics 2018-06-25 Serdar Elhatisari

Collisions of two fermionic dimers near the unitary limit are studied using exact four-particle equations for transition operators in momentum space. Universal properties of dimer-dimer phase shifts and effective range expansion (ERE)…

Quantum Gases · Physics 2017-08-09 A. Deltuva

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

We develop a diagrammatic approach for solving few-body problems in heteronuclear fermionic mixtures near a narrow interspecies Feshbach resonance. We calculate s-, p-, and d-wave phaseshifts for the scattering of an atom by a weakly-bound…

Quantum Gases · Physics 2011-12-01 J. Levinsen , D. S. Petrov

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

We present continuum and lattice calculations for elastic scattering between a fermion and a bound dimer in the shallow binding limit. For the continuum calculation we use the Skorniakov-Ter-Martirosian (STM) integral equation to determine…

Nuclear Theory · Physics 2013-02-22 Shahin Bour , H. -W. Hammer , Dean Lee , Ulf-G. Meißner

Motivated by a recent experiment by ENS group on the mixture of Bose and Fermi superfluids (arxiv:1404.2548), we investigate the effective scattering between a bosonic atom and a molecule(dimer) of fermion atoms. It is found that the…

Quantum Gases · Physics 2014-10-30 Xiaoling Cui

We use the composite boson (coboson) many-body formalism to tackle scattering lengths for cold fermionic atoms. We show that bound dimers can be taken as elementary entities provided that fermion exchanges between them are treated exactly,…

Quantum Gases · Physics 2018-12-11 Shiue-Yuan Shiau , Ching-Hang Chien , Yia-Chung Chang , Monique Combescot

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

The zero-energy universal properties of scattering between a particle and a dimer that involves an identical particle are investigated for arbitrary scattering angular momenta. For this purpose, we derive an integral equation that…

Atomic Physics · Physics 2012-12-18 Shimpei Endo , Pascal Naidon , Masahito Ueda

We introduce a major theoretical generalization of existing techniques for handling the three-body problem that accurately describes the interactions among four fermionic atoms. Application to a two-component Fermi gas accurately determines…

Atomic Physics · Physics 2009-11-13 J. P. D'Incao , Seth T. Rittenhouse , N. P. Mehta , Chris H. Greene

We solve the three-body problem of an ultracold Fermi gas with parabolic confinement length $a_\perp$ and 3D scattering length $a$. On the two-body level, there is a Feshbach-type resonance at $a_\perp/a\approx 1.46$, and a dimer state for…

Statistical Mechanics · Physics 2007-05-23 C. Mora , R. Egger , A. O. Gogolin , A. Komnik

We study near a Feshbach resonance, as a function of the mass ratio, the fermion-dimer scattering amplitude in fermionic mixtures of two fermion species. When masses are equal the physical situation is known to be quite simple. We show…

Quantum Gases · Physics 2013-05-30 F. Alzetto , R. Combescot , X. Leyronas

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

We consider fermion-dimer scattering in the presence of a large positive scattering length in the frame of functional renormalization group equations. A flow equation for the momentum dependent fermion-dimer scattering amplitude is derived…

Statistical Mechanics · Physics 2008-11-26 S. Diehl , H. C. Krahl , M. Scherer

The interaction of neutrons and nuclei at low energies may potentially lead to scattering lengths several orders of magnitude larger than the effective range of the interaction, well beyond the nuclear scale. If such cases existed, they…

Nuclear Theory · Physics 2026-04-16 F. Miguel Marqués

We investigate the scattering of intense short laser pulses off trapped cold fermionic atoms. We discuss the sensitivity of the scattered light to the quantum statistics of the atoms. The temperature dependence of the scattered light…

Quantum Physics · Physics 2009-10-31 T. Wong , Ozgur Mustecaplioglu , L. You , M. Lewenstein
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