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We construct a four-parameter point-interaction for a non-relativistic particle moving on a line as the limit of a short range interaction with range tending toward zero. For particular choices of the parameters, we can obtain a…

High Energy Physics - Theory · Physics 2009-10-22 Michel Carreau

Nonrelativstic effective field theories have shown to be a useful framework to describe systems of weakly bound particles. This work focuses on the matching procedure to the underlying relativistic theory. The concept of a physical mass in…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Gall

We apply the ideas of effective field theory to nonrelativistic quantum mechanics. Utilizing an artificial boundary of ignorance as a calculational tool, we develop the effective theory using boundary conditions to encode short-ranged…

Atomic Physics · Physics 2022-06-13 David M. Jacobs , Matthew Jankowski

We study the three-body system with short-range interactions characterized by an unnaturally large two-body scattering length. We show that the off-shell scattering amplitude is cutoff independent up to power corrections. This allows us to…

Nuclear Theory · Physics 2009-11-06 H. -W. Hammer , Thomas Mehen

The chiral low-energy constants c_D and c_E are constrained by means of accurate ab initio calculations of the A=3 binding energies and, for the first time, of the triton beta decay. We demonstrate that these low-energy observables allow a…

Nuclear Theory · Physics 2009-09-21 Doron Gazit , Sofia Quaglioni , Petr Navratil

We lay out the extension of range-separated density-functional theory to a four-component relativistic frame-work using a Dirac-Coulomb-Breit Hamiltonian in the no-pair approximation. This formalism combines a wave-function method for the…

Chemical Physics · Physics 2018-12-12 Julien Paquier , Julien Toulouse

We obtain the equation of state of interacting alpha matter and the critical temperature of Bose-Einstein condensation of alpha particles within an effective scalar field theory. We start from a non-relativistic model of uniform alpha…

Nuclear Theory · Physics 2010-01-05 Armen Sedrakian , Herbert Müther , Peter Schuck

The appropriate power counting for the effective field theory of NN interactions is reviewed. It is more subtle than in most effective field theories since in the limit that the S-wave NN scattering lengths go to infinity it is governed by…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mark B. Wise

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

Subatomic systems are pivotal for understanding fundamental baryonic interactions, as they provide direct access to quark-level degrees of freedom. In particular, introducing a strange quark adds "strangeness" as a new dimension, offering a…

We present an isotropic ab initio (para-H$_2$)$_4$ four-body interaction potential energy surface (PES). The electronic structure calculations are performed at the correlated coupled-cluster theory level, with single, double, and…

Chemical Physics · Physics 2025-06-09 Alexander Ibrahim , Pierre-Nicholas Roy

Atom-dimer scattering below the three-body break-up threshold is studied for a system of three identical bosons. The atom-dimer scattering length and the energy of the most weakly-bound three-body state are shown to be strongly correlated.…

Atomic and Molecular Clusters · Physics 2013-05-30 Vladimir Roudnev , Michael Cavagnero

We develop the perturbation theory for bosons interacting via a two-body potential $V$ of vanishing mean value. We find that the leading nonpairwise contribution to the energy emerges in the third order in $V$ and represents an effective…

Quantum Gases · Physics 2021-04-07 A. Pricoupenko , D. S. Petrov

The two and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which…

Quantum Gases · Physics 2019-02-01 V. E. Colussi

Recent ab initio lattice studies have found that the interactions between alpha particles (4He nuclei) are sensitive to seemingly minor details of the nucleon-nucleon force such as interaction locality. In order to uncover the essential…

Nuclear Theory · Physics 2017-06-14 Alexander Rokash , Evgeny Epelbaum , Hermann Krebs , Dean Lee

A systematic numerical study of non-pairwise vortex interaction forces in the Ginzburg-Landau model for single- and multicomponent superconductivity is presented. The interactions are obtained by highly accurate numerical free energy…

Superconductivity · Physics 2013-02-26 Alexander Edström

We discuss the proposed description of configurations with four-branes and six-branes in m(atrix) theory. Computing the velocity dependent potential between these configurations and gravitons and membranes, we show that they agree with the…

High Energy Physics - Theory · Physics 2009-10-30 Gilad Lifschytz

In this paper, we present a physically informed neural network representation of the effective interactions associated with coupled-cluster downfolding models to describe chemical systems and processes. The neural network representation not…

Quantum Physics · Physics 2025-01-28 Senwei Liang , Karol Kowalski , Chao Yang , Nicholas P. Bauman

We construct valence-space Hamiltonians for use in shell-model calculations, where the residual two-body interaction is based on symmetry principles and the low-momentum expansion from chiral effective field theory. In addition to the usual…

Nuclear Theory · Physics 2018-11-13 Lukas Huth , Victoria Durant , Johannes Simonis , Achim Schwenk

Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Adrien Kuntz , Francesco Serra , Enrico Trincherini