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Using a coarse temporal lattice approximation, we calculate the first few terms of the virial expansion of a three-species fermion system with a three-body contact interaction in $d$ spatial dimensions, both in homogeneous space as well as…

Quantum Gases · Physics 2020-07-08 A. J. Czejdo , J. E. Drut , Y. Hou , J. R. McKenney , K. J. Morrell

A new kind of the relativistic three-body equations for the three fermion systems are suggested. These equations are derived in the framework of the standard field-theoretical $S$-matrix approach in the time-ordered three dimensional form.…

Nuclear Theory · Physics 2016-09-08 A. I. Machavariani

This report concerns the energy of a zero-temperature many-body system of spin 1/2 fermions in the unitary limit. In a previous report (arXiv:0705.0944) this energy was determined to be xi~0.24 in units of the free gas kinetic energy,…

Nuclear Theory · Physics 2008-02-08 H. S. Kohler

We demonstrate the possibility of creating a self-bound stable three-dimensional matter-wave spherical boson-fermion quantum ball in the presence of an attractive boson-fermion interaction and a small repulsive three-boson interaction. The…

Quantum Gases · Physics 2018-08-01 S K Adhikari

We investigate the possible existence of the bound state in the system of three bosons interacting with each other via zero-radius potentials in two dimensions (it can be atoms confined in two dimensions or tri-exciton states in…

Quantum Gases · Physics 2017-01-10 Tianhao Ren , Igor Aleiner

Knowing when a physical system has reached sufficient size for its macroscopic properties to be well described by many-body theory is difficult. We investigate the crossover from few to many-body physics by studying quasi one-dimensional…

Quantum Gases · Physics 2013-10-28 A. N. Wenz , G. Zürn , S. Murmann , I. Brouzos , T. Lompe , S. Jochim

Three-dimensional (3D) Faddeev integral equations are solved for three-body (3B) bound state problem without using the partial wave (PW) form of low momentum two-body (2B) interaction $V_{low-k}$ which is constructed from spin independent…

Nuclear Theory · Physics 2014-04-03 M. R. Hadizadeh

We study pairing of an interacting three component Fermi gas in two dimensions. By using a mean field theory to decouple the interactions between different pairs of Fermi components, we study the free energy landscapes as a function of…

Other Condensed Matter · Physics 2021-09-08 Theja N. De Silva

We consider the four-boson and 3+1 fermionic problems with a model Hamiltonian which encapsulates the mechanism of the Feshbach resonance involving the coherent coupling of two atoms in the open channel and a molecule in the closed channel.…

Quantum Gases · Physics 2011-03-01 Christophe Mora , Yvan Castin , Ludovic Pricoupenko

The dominantly orbital state method allows a semiclassical description of quantum systems. At the origin, it was developed for two-body relativistic systems. Here, the method is extended to treat two-body Hamiltonians and systems with three…

Quantum Physics · Physics 2013-06-07 Claude Semay , Fabien Buisseret

In this paper we explore the transport properties of three-component Fermi gases confined to one spatial dimension, interacting via a three-body interaction, in the high temperature limit. At the classical level, the three-body interaction…

Quantum Gases · Physics 2019-12-11 Jeff Maki , Carlos R. Ordóñez

The paper examines a trapped one-dimensional system of multicomponent spinless fermions that interact with a zero-range two-body potential. We show that when the repulsion between particles is very large the system can be approached…

A relativistic wave equation for bound states of two fermions with arbitrary masses which are exposed to a magnetic field is derived from quantum electrodynamics. The interaction kernels are based upon the generalized invariant M-matrices…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei G. Terekidi , Jurij W. Darewych , Marko Horbatsch

We study a three-body system, formed by a light particle and two identical heavy dipoles, in two dimensions in the Born-Oppenheimer approximation. We present the analytic light-particle wave function resulting from an attractive zero-range…

Atomic Physics · Physics 2017-01-11 D. S. Rosa , F. F. Bellotti , A. S. Jensen , G. Krein , M. T. Yamashita

In Efimov physics, a three-body parameter (3BP), previously regarded as nonuniversal, uniquely defines bound and scattering properties of three particles. A universal 3BP, however, have been recently shown in experiments and theory in…

Atomic Physics · Physics 2012-12-13 Yujun Wang , Jia Wang , J. P. D'Incao , Chris H. Greene

We study the dynamical fermionization of strongly interacting one-dimensional bosons in Tonks-Girardeau limit by solving the time dependent many-boson Schr\"odinger equation numerically exactly. We establish that the one-body momentum…

Quantum Gases · Physics 2024-02-02 Barnali Chakrabarti , Arnaldo Gammal , N D Chavda , Mantile Leslie Lekala

We consider a class of singular, zero-range perturbations of the Hamiltonian of a quantum system composed by a test particle and a harmonic oscillators in dimension one, two and three and we study its spectrum. In facts we give a detailed…

Mathematical Physics · Physics 2008-06-27 M. Correggi , G. Dell'Antonio , D. Finco

We develop a computationally and numerically efficient method to calculate binding energies and corresponding wave functions of quantum mechanical three-body problems in low dimensions. Our approach exploits the tensor structure of the…

Computational Physics · Physics 2022-03-04 Jonas Thies , Moritz Travis Hof , Matthias Zimmermann , Maxim Efremov

A new class of universal "three-body" bound states has been recently predicted theoretically for identical fermions interacting at p-wave resonance in two dimensions. This phenomenon is called the super Efimov effect since the binding…

Quantum Gases · Physics 2017-03-15 Pengfei Zhang , Zhenhua Yu

We calculate the three-body spectrum for identical bosons interacting via attractive $1/r^2$ potentials. We have found an infinite number of three-body states even when the pair interactions are too weak to support any two-body states.…

Quantum Physics · Physics 2011-10-05 Nicolais Guevara , Yujun Wang , B. D. Esry