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We consider the problem of $N$ identical fermions interacting via a zero-range attractive potential with a lighter atom in one dimension. Using the few-body approach based on the Skorniakov and Ter-Martirosian equation, we determine the…

Quantum Gases · Physics 2022-07-13 A. Tononi , J. Givois , D. S. Petrov

We study a one-dimensional system of two-component fermions in the limit of strong attractive particle-particle interactions. First, we analyze scattering in the corresponding few-body problem, which is analytically solvable via Bethe…

In the framework of the ab-initio no-core shell model (NCSM), we describe the longitudinal-longitudinal distribution function, part of the inclusive (e,e') longitudinal response. In the two-body cluster approximation, we compute the…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Bruce R. Barrett , Petr Navratil , James P. Vary

The interaction of an $\eta$-meson with two nucleons is studied within a three-body approach. The major features of the $\eta NN$-system in the low-energy region are accounted for by using a s-wave separable ansatz for the two-body $\eta…

Nuclear Theory · Physics 2011-07-19 A. Fix , H. Arenhoevel

We study three- and four-body Efimov physics in a heteronuclear atomic system with three identical heavy bosonic atoms and one light atom. We show that exchange of the light atom between the heavy atoms leads to both three- and four-body…

Atomic Physics · Physics 2012-02-27 Yujun Wang , W. Blake Laing , Javier von Stecher , B. D. Esry

Particles with resonant short-range interactions have universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the existence of a…

Nuclear Theory · Physics 2011-02-14 H. -W. Hammer , L. Platter

Efimov physics relates to 3-body systems with large 2-body scattering lengths a and small effective ranges r. For many systems in nature the assumption of a small effective range is not valid. The present report shows binding energies E of…

Nuclear Theory · Physics 2011-10-07 Sigurd Kohler

A powerful set of universal relations, centered on a quantity called the contact, connects the strength of short-range two-body correlations to the thermodynamics of a many-body system with delta-function interactions. We report on…

Quantum Gases · Physics 2012-04-30 R. J. Wild , P. Makotyn , J. M. Pino , E. A. Cornell , D. S. Jin

By splitting the Coulomb interaction into long-range and short-range components, we decompose the energy of a quantum electronic system into long-range and short-range contributions. We show that the long-range part of the energy can be…

Chemical Physics · Physics 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

The transition from a few-body system to a many-body system can result in new length scales, novel collective phenomena or even in a phase transition. Such a threshold behavior was shown for example in 4He droplets, where 4He turns into a…

The pion exchange between nucleons generates a strong tensor interaction, which provides a large attractive contribution for the binding energy of nucleus. This non central tensor interaction is difficult to handle in the shell model…

Nuclear Theory · Physics 2009-06-25 Takayuki Myo , Hiroshi Toki , Kiyomi Ikeda

We discuss interacting, closed, bosonic and superstrings in thermal equilibrium at temperatures close to the Hagedorn temperature in flat space. We calculate S-matrix elements of the strings at the Hagedorn temperature and use them to…

High Energy Physics - Theory · Physics 2021-04-28 Ram Brustein , Yoav Zigdon

A survey is presented of the theoretical status of quadratic response theories for the understanding of nonlinear aspects in the interaction of charged particles with matter. In the frame of the many-body perturbation theory we study the…

Materials Science · Physics 2007-05-23 J. M. Pitarke , I. Campillo

An N-body bosonic model with delta-contact interactions projected on the lowest Landau level is considered. For a given number of particles in a given angular momentum sector, any energy level can be obtained exactly by means of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Stefan Mashkevich , Sergey Matveenko , Stéphane Ouvry

We present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the Boundary Condition Model…

Chemical Physics · Physics 2008-02-03 E. A. Kolganova , A. K. Motovilov , S. A. Sofianos

We consider the three-boson problem with $\delta$-function interactions in one spatial dimension. Three different approaches are used to calculate the phase shifts, which we interpret in the context of the effective range expansion, for the…

Nuclear Theory · Physics 2009-11-11 Nirav P. Mehta , James R. Shepard

This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and…

Nuclear Theory · Physics 2009-11-19 R. J. Furnstahl , G. Rupak , T. Schaefer

A self-consistent many-body approach is proposed to build a first-principles crystal field theory, where crystal field parameters are calculated ab initio. Many-body theory is used to write the energy of the interacting system as a function…

Strongly Correlated Electrons · Physics 2010-09-17 Christian Brouder

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

We demonstrate the applicability of four-body exponentially correlated functions for the accurate calculations of relativistic effects in lithium-like atoms and present results for matrix elements of various operators which involve negative…

Atomic Physics · Physics 2015-05-18 Mariusz Puchalski , Krzysztof Pachucki