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Related papers: The helium trimer with soft-core potentials

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We examine the problem of two particles confined in an isotropic harmonic trap, which interact via a finite-ranged Gaussian-shaped potential in two spatial dimensions. We derive an approximative transcendental equation for the energy and…

Flat band systems have recently attracted significant attention due to their instability under small perturbations, which can lead to the stabilization of many exotic quantum phases. We study a trimer ladder which shows a middle flat band…

Strongly Correlated Electrons · Physics 2025-03-26 Sourabh Saha , Hosho Katsura , Manoranjan Kumar

By the photoassociation method, the trimer superfluid phase disappears in the one dimensional state-dependent optical lattice if the ratio of the three-body interaction $W$ to the trimer tunneling $J$is kept at $W/J=12$ [Phys Rev A. {\bf…

Quantum Gases · Physics 2015-07-13 Wanzhou Zhang , Yuan Yang , Lijuan Guo , Chengxiang Ding , Tony C. Scott

The 4He3 system is investigated using a hard-core version of the Faddeev differential equations and realistic 4He-4He interactions. We calculate the binding energies of the 4He trimer but concentrate in particular on scattering observables.…

Atomic and Molecular Clusters · Physics 2007-05-23 A. K. Motovilov , W. Sandhas , S. A. Sofianos , E. A. Kolganova

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…

We investigate the evaporation of trace amounts of helium solvated in liquid water using molecular dynamics simulations and theory. Consistent with experimental observations, we find a super-Maxwellian distribution of kinetic energies of…

Chemical Physics · Physics 2024-08-21 Kritanjan Polley , Kevin R. Wilson , David T. Limmer

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 study the quantum three-body free space problem of two same-spin-state fermions of mass $m$ interacting with a different particle of mass $M$, on an infinitely narrow Feshbach resonance with infinite s-wave scattering length. This…

Quantum Gases · Physics 2015-05-28 Yvan Castin , Edoardo Tignone

Three interacting particles form a system which is well known for its complex physical behavior. A landmark theoretical result in few-body quantum physics is Efimov's prediction of a universal set of weakly bound trimer states appearing for…

Other Condensed Matter · Physics 2009-11-11 H. -C. Naegerl , T. Kraemer , M. Mark , P. Waldburger , J. G. Danzl , B. Engeser , A. D. Lange , K. Pilch , A. Jaakkola , C. Chin , R. Grimm

We present a method for treatment of three charged particles. The proposed method has universal character and is applicable both for bound and continuum states. A finite rank approximation is used for Coulomb potential in three-body system…

Nuclear Theory · Physics 2010-12-16 Vladimir B. Belyaev , Andrey A. Naumkin

A new pairwise hybrid machine-learning/molecular mechanics (ML/MM) potential is introduced that is conceived for application to large, heterogeneous condensed-phase systems. The PhysNet ML method describes monomers and short-range dimer…

Chemical Physics · Physics 2026-03-17 Kham Lek Chaton , Eric D. Boittier , Mike Devereux , Markus Meuwly

We propose to observe the Efimov effect experimentally by applying an external electric field on atomic three-body systems. We first derive the lowest order effective two-body interaction for two spin zero atoms in the field. Then we solve…

Atomic Physics · Physics 2009-10-31 E. Nielsen , D. V. Fedorov , A. S. Jensen

The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

Atomic Physics · Physics 2008-10-23 V. V. Kavera

Small clusters of $^4$He atoms provide a paradigmatic setting for exploring universal phenomena in few-body quantum systems with large scattering length. Their weakly bound states serve as ideal test cases for studying Efimov physics and…

Quantum Gases · Physics 2025-11-18 Betzalel Bazak

Homonuclear spin-polarized alkali-metal trimers in their lowest-lying electronic state are investigated theoretically. Their equilibrium geometries and binding energies are determined with the state-of-the-art quantum chemical methods at…

Chemical Physics · Physics 2025-05-23 Jiří Klimeš , Pavel Soldán

We study bosonic systems in the regime in which the two-body system has a shallow bound state or, equivalently, a large value of the two-body scattering length. Using the effective field theory framework as a guide, we construct a series of…

Atomic Physics · Physics 2022-09-14 Paolo Recchia , Alejandro Kievsky , Luca Girlanda , Mario Gattobigio

We theoretically investigate the properties of two interacting ultracold highly magnetic atoms trapped in a one-dimensional harmonic potential. The atoms interact via an anisotropic long-range dipole-dipole interaction, which in one…

Atomic Physics · Physics 2022-11-09 Michał Suchorowski , Anna Dawid , Michał Tomza

For charged three-body systems, we discuss the configurations and orientations that are admissible for given values of the conserved total energy and angular momentum. The admissible configurations and orientations are discussed on a…

Dynamical Systems · Mathematics 2021-12-15 Igor Hoveijn , Holger Waalkens , Mohammad Zaman

We study small clusters of bosons, $A=2,3,4,5,6$, characterized by a resonant interaction. Firstly, we use a soft-gaussian interaction that reproduces the values of the dimer binding energy and the atom-atom scattering length obtained with…

Atomic and Molecular Clusters · Physics 2015-06-12 M. Gattobigio , A. Kievsky , M. Viviani

We study a quantum mechanical system consisting of up to three identical dipoles confined to move along a helical shaped trap. The long-range interactions between particles confined to move in this one dimension leads to an interesting…

Quantum Physics · Physics 2016-08-17 J. K. Pedersen , D. V. Fedorov , A. S. Jensen , N. T. Zinner