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Related papers: An Effective Field Theory for the Three-Body Syste…

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We consider two-loop planar contributions to a three-body form factor at the next-to-leading power in the high-energy limit, where the masses of external particles are much smaller than their energies. The calculation is performed by…

High Energy Physics - Phenomenology · Physics 2025-05-21 Yishuai Guo , Zhi-Feng Liu , Mingming Lu , Tianya Xia , Li Lin Yang

The equations which relate three-body and two-body symmetry violating scattering amplitudes are derived in the first order of symmetry violating interactions. They can be used to obtain three-body symmetry violating scattering amplitudes…

Nuclear Theory · Physics 2014-11-21 Vladimir Gudkov , Young-Ho Song

Recent advances in the treatment of scattering of charged composite particles are reviewed. In a first part I report on developments of the theory. Specifically I describe the recent completion of the derivation of the co-ordinate space…

Nuclear Theory · Physics 2011-04-15 E. O. Alt

The problem of $N$ particles interacting through pairwise central forces is notoriously intractable for $N\geq3$. Some quite remarkable specific cases have been solved in one dimension, whereas higher-dimensional exactly solved systems…

Mathematical Physics · Physics 2014-10-24 A. Botero , F. Leyvraz

In the low-energy region far below the chiral symmetry breaking scale (which is of the order of 1 GeV) chiral perturbation theory provides a model-independent approach for quantitative description of nuclear processes. In the two- and…

High Energy Physics - Lattice · Physics 2016-08-14 Hermann Krebs , Bugra Borasoy , Evgeny Epelbaum , Dean Lee , Ulf-G. Meißner

We derive three-body equations valid at finite densities and temperatures. These are based on the cluster mean field approach consistently including proper self energy corrections and the Pauli blocking. As an application we investigate the…

Nuclear Theory · Physics 2009-10-31 M. Beyer , W. Schadow , C. Kuhrts , G. Roepke

The general structure of the renormalization group equations for the low energy effective field theory formulation of pure gravity is presented. The solution of these equations takes a particular simple form if the mass scale of the…

High Energy Physics - Theory · Physics 2009-10-30 Mario Atance , Jose Luis Cortes

The pionless effective field theory (EFT) is the appropriate low-energy EFT for short-range interactions that display a large scattering length. It has been successfully applied in atomic, nuclear and particle physics. We give an overview…

Nuclear Theory · Physics 2014-11-20 Lucas Platter

Recently, formalism has been derived for studying electroweak transition amplitudes for three-body systems both in infinite and finite volumes. The formalism provides exact relations that the infinite-volume amplitudes must satisfy, as well…

High Energy Physics - Lattice · Physics 2024-05-24 Raul A. Briceño , Andrew Jackura , Dimitra A. Pefkou , Fernando Romero-López

We investigate systems of three mutually interacting particles with masses of which the inner is much bigger than the intermediate and the latter is much bigger than the outer. Then the three-body problem reduces to the two-body scattering…

Atomic Physics · Physics 2017-03-08 M. Ya. Amusia

We calculate the structure of three-body hypernuclei with $S=-1$ using pionless effective field theory at leading order in the isospin $I=0$ and $I=1$ sectors. In both sectors, three-body hypernuclei arise naturally from the Efimov effect…

Nuclear Theory · Physics 2020-07-16 F. Hildenbrand , H. -W. Hammer

Elastic quantum bound-state reflection from a hard-wall boundary provides direct information regarding the structure and compressibility of quantum bound states. We discuss elastic quantum bound-state reflection and derive a general theory…

Nuclear Theory · Physics 2013-01-18 Michelle Pine , Dean Lee

We discuss the three-body properties of identical bosons exhibiting large scattering length in two spatial dimensions. Within an effective field theory for resonant interactions, we calculate the leading non-universal corrections from the…

Quantum Gases · Physics 2015-03-17 K. Helfrich , H. -W. Hammer

The three-body scattering problem in Coulombic systems is widespread, however yet unresolved problem by the mathematically rigorous methods. In this work this long term challenge has been undertaken by combining distorted waves and…

Quantum Physics · Physics 2017-03-08 R. Lazauskas

We derive the ground-state energy for a small number of ultracold atoms in an isotropic harmonic trap using effective quantum field theory (EFT). Atoms are assumed to interact through pairwise energy-independent and energy-dependent…

Quantum Gases · Physics 2014-10-29 X. Y. Yin , D. Blume , P. R. Johnson , E. Tiesinga

The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. In this study we start from the 3->3 scattering amplitude for spinless particles, which contains an…

Nuclear Theory · Physics 2017-09-12 M. Mai , B. Hu , M. Doring , A. Pilloni , A. Szczepaniak

This review article presents historical developments and recent advances in our understanding on the three-body forces and Efimov physics, from an interdisciplinary viewpoint encompassing nuclear physics and cold atoms. Theoretical attempts…

Many-body forces are sometimes a relevant ingredient in various fields, such as atomic, nuclear or hadronic physics. Their precise structure is generally difficult to uncover. So, phenomenological effective forces are often used in…

Quantum Physics · Physics 2018-07-19 Claude Semay , Guillaume Sicorello

The study of quantum chromodynamics (QCD) over the past quarter century has had relatively little impact on the traditional approach to the low-energy nuclear many-body problem. Recent developments are changing this situation. New…

Nuclear Theory · Physics 2009-11-07 R. J. Furnstahl

Effective Field Theory(EFT) is, the unique, model independent and systematic low-energy version of QCD for processes involving momenta below the pion mass. A low-energy photo-nuclear observable in three-body systems, photon polarization…

Nuclear Theory · Physics 2008-11-26 H. Sadeghi