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Using non-relativistic effective Lagrangians in the particle-dimer picture, we rederive the expression for the energy shift of a loosely bound three-particle bound state of identical bosons in the unitary limit. The effective field theory…

High Energy Physics - Lattice · Physics 2017-10-25 H. -W. Hammer , J. -Y. Pang , A. Rusetsky

We present the exact diagonalization study of rotating Bose-condensed gas interacting via finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many-body Hamiltonian matrix is diagonalized in given subspaces of…

Quantum Gases · Physics 2023-07-19 Mohd. Imran , M. A. H. Ahsan

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

Quantum Gases · Physics 2017-04-06 A. Cappellaro , L. Salasnich

It is shown using the Gross-Pitaevskii equation that resonance states of Bose-Einstein condensates with attractive interactions can be stabilized into true bound states. A semiclassical variational approximation and an independent quantum…

Soft Condensed Matter · Physics 2007-05-23 Nimrod Moiseyev , L. D. Carr , Boris A. Malomed , Y. B. Band

We make use of a simple pair correlated wave function approach to obtain results for the ground-state densities and momentum distribution of a one-dimensional three-body bosonic system with different interactions in a harmonic trap. For…

Quantum Gases · Physics 2016-06-06 R. E. Barfknecht , A. S. Dehkharghani , A. Foerster , N. T. Zinner

We compute the virial coefficients, the contact parameters, and the momentum distribution of a strongly interacting three-dimensional Bose gas by means of a virial expansion up to third order in the fugacity, which takes into account…

Quantum Gases · Physics 2016-01-25 Marcus Barth , Johannes Hofmann

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

Universal properties of mass-imbalanced three-body systems in 2D are studied using zero-range interactions in momentum space. The dependence of the three-particle binding energy on the parameters (masses and two-body energies) is highly…

Quantum Gases · Physics 2014-11-12 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

The isotropic scattering phase shift is calculated for non-relativistic bosons interacting at low energies via an arbitrary finite-range potential in d spacetime dimensions. Scattering on a (d-1)-dimensional torus is then considered, and…

Quantum Gases · Physics 2011-04-14 Silas R. Beane

We consider the focusing 3D quantum many-body dynamic which models a dilute bose gas strongly confined in two spatial directions. We assume that the microscopic pair interaction is attractive and given by $a^{3\beta-1}V(a^{\beta}\cdot)$…

Analysis of PDEs · Mathematics 2017-06-05 Xuwen Chen , Justin Holmer

We study charged particles in three dimensions interacting via a short-range potential in addition to the Coulomb potential. When the Bohr radius and the scattering length are much larger than the potential range, low-energy physics of the…

Nuclear Theory · Physics 2024-12-04 Shunta Mochizuki , Yusuke Nishida

We address the question of minimal requirements for the existence of quantum bound states. In particular, we demonstrate that a few-body system with zero-range momentum-independent two-body interactions is unstable against decay into…

Nuclear Theory · Physics 2021-03-16 Martin Schäfer , Lorenzo Contessi , Johannes Kirscher , Jiří Mareš

It was shown recently that the discrete scaling symmetry, which underlies the Efimov effect in the three identical boson system with two-body short-range interactions, survives when single-particle 1D spin-orbit coupling terms are added to…

Quantum Gases · Physics 2019-10-30 Qingze Guan , Doerte Blume

The non-Markovian effects of open quantum systems subjected to external environments are deemed to be valuable resources in quantum optics and quantum information processing. In this work, we investigate the non-Markovian dynamics of a…

Optics · Physics 2025-12-15 S. J. Sun , Z. Y. Li , C. Cui , Shuang Xu , H. Z. Shen

When the binding energy of a two-body system goes to zero the two-body system shows a continuous scaling invariance governed by the large value of the scattering length. In the case of three identical bosons, the three-body system in the…

Quantum Gases · Physics 2018-12-17 A. Kievsky , A. Polls , B. Julia-Diaz , N. Timofeyuk , M. Gattobigio

Consider $N$ bosons in a finite box $\Lambda= [0,L]^3\subset \bR^3$ interacting via a two-body nonnegative soft potential $V= \lambda \tilde V$ with $\tilde V$ fixed and $\lambda>0$ small. We will take the limit $L, N \to \infty$ by keeping…

Mathematical Physics · Physics 2009-11-13 Laszlo Erdos , Benjamin Schlein , Horng-Tzer Yau

We discuss the inclusion of relativistic boost corrections into the CBF effective nuclear Hamiltonian, derived from a realistic model of two- and three-nucleon interactions using the formalism of correlated basis functions and the cluster…

Nuclear Theory · Physics 2024-12-04 Andrea Sabatucci , Omar Benhar , Alessandro Lovato

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

The theoretical study of ultracold few-body systems is often done using an idealized 1D model with zero range interactions. Here we study these systems using a more realistic 3D model with finite range interactions. We place…

Quantum Gases · Physics 2019-10-17 M. Wallenius , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Three body systems with short-range interactions display universal features that have been extensively explored in atomic physics, but apply to hadron physics as well. Systems composed of two non-interacting identical particles (species H)…

High Energy Physics - Phenomenology · Physics 2018-07-19 Manuel Pavon Valderrama
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