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We present an ab-initio calculation of the longitudinal electron scattering response function off 4He with two- and three-nucleon forces and compare to experimental data. The full four-body continuum dynamics is considered via the Lorentz…

Nuclear Theory · Physics 2009-06-16 Sonia Bacca , Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

A study of the $\eta$-3N interaction in the energy region near the $\eta$-^3H elastic scattering threshold is presented. The calculational scheme is based on the four-body scattering formalism. A manageable form of the integral equations is…

Nuclear Theory · Physics 2017-08-23 A. Fix , H. Arenhoevel

At the large distances compared to the chiral symmetry breaking scale, a four-quark system $\bar Q \bar Q qq$ (with $Q$ as heavy and $q$ as light quarks) can be treated as two asymptotic mesons interacting via strong residual forces. The…

High Energy Physics - Phenomenology · Physics 2025-02-28 Muhammad Naeem Anwar

We calculate energy levels of two and three bosons trapped in a harmonic oscillator potential with oscillator length $a_{\mathrm osc}$. The atoms are assumed to interact through a short-range potential with a scattering length $a$, and the…

Condensed Matter · Physics 2013-05-29 S. Jonsell , H. Heiselberg , C. J. Pethick

We include the leading charge symmetry breaking contributions into the hyperon-nucleon interactions derived within chiral effective field theory up to next-to-leading order. Two low energy constants are determined using the experimentally…

Nuclear Theory · Physics 2022-02-28 Andreas Nogga , Johann Haidenbauer , Ulf-G. Meißner

Effective field theory requires all observables to be independent of the representation used for the quantum field operators. It means that off-shell properties of the interactions should not lead to any observable effects. We analyse this…

Nuclear Theory · Physics 2016-09-08 Boris Krippa , Michael C. Birse , Judith A. McGovern , Niels R. Walet

We study three same spin state fermions of mass M interacting with a distinguishable particle of mass m in the unitary limit where the interaction has a zero range and an infinite s-wave scattering length. We predict an interval of mass…

Quantum Gases · Physics 2015-05-19 Yvan Castin , Christophe Mora , Ludovic Pricoupenko

We obtain the exact ground state and a part of the excitation spectrum in one dimension on a line and the exact ground state on a circle in a case where N particles are interacting via nearest- and next-to-nearest neighbour interactions.…

Condensed Matter · Physics 2009-10-31 Guy Auberson , Sudhir R. Jain , Avinash Khare

We briefly summarize the most relevant steps in the search of rigorous results about the properties of quantum systems made of three bosons interacting with zero-range forces. We also describe recent attempts to solve the unboundedness…

Mathematical Physics · Physics 2020-01-29 Rodolfo Figari , Alessandro Teta

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

This article considers the bound states of two heavy and two light bosons, when a short-range force attracts the bosons of different mass, and a short-range force repel the light bosons. The existence of such four-body bound states results…

Quantum Gases · Physics 2022-02-03 Pascal Naidon

A general effective field theory formalism is presented which describes the low-energy dynamics of a 3-brane universe. In this scenario an arbitrary four-dimensional particle theory, such as the Standard Model, is constrained to live on the…

High Energy Physics - Phenomenology · Physics 2009-09-15 Raman Sundrum

Short-range corrections to long-range selected configuration interaction calculations are derived from perturbation theory considerations and applied to harmonium (with two to six electrons for some low-lying states). No fitting to…

Chemical Physics · Physics 2024-07-19 Anthony Scemama , Andreas Savin

A simple two-level model is developed and used to test the properties of effective interactions for performing nuclear structure calculations in truncated model spaces. It is shown that the effective many-body interactions sensitively…

Nuclear Theory · Physics 2009-10-22 B. R. Barrett , D. C. Zheng , R. J. McCarthy , J. P. Vary

We perform a renormalization group analysis of the non-relativistic four-boson problem by means of a simple model with pointlike three- and four-body interactions. We investigate in particular the unitarity point where the scattering length…

Quantum Gases · Physics 2014-11-20 Richard Schmidt , Sergej Moroz

In this paper, a Hamiltonian mean field model with long-range four-body interactions is proposed. The model describes a long-range mean-field system in which N unit-mass particles move on a unit circle. Each particle theta_i interacts with…

Statistical Mechanics · Physics 2025-04-25 Qiang Zhang , Yu Xue , Haojie Luo , Bingling Cen

We determine the two-body contact in a planar Bose gas confined by a transverse harmonic potential, using the nonperturbative functional renormalization group. We use the three-dimensional thermodynamic definition of the contact where the…

Quantum Gases · Physics 2023-06-28 Adam Rançon , Nicolas Dupuis

The independence between few-body scales beyond the van der Waals universality is demonstrated for the extreme mass-imbalanced case of a specific many-boson system. This finding generalizes the scaling properties of universal tetramers to a…

Quantum Physics · Physics 2019-03-26 W. De Paula , A. Delfino , T. Frederico , Lauro Tomio

As a supersymmetric extension of the Randall-Sundrum model, we consider a 5-dimensional Horava-Witten type theory, and derive its low energy effective action. The model we consider is a two-brane system with a bulk scalar field satisfying…

High Energy Physics - Theory · Physics 2009-11-11 Sugumi Kanno

The four-neutron system is studied using exact continuum equations for transition operators and solving them in the momentum-space framework. A resonant behavior is found for strongly enhanced interaction but not a the physical strength,…

Nuclear Theory · Physics 2018-06-13 A. Deltuva