scholarly journals Full three-body problem in effective-field-theory models of gravity

2014 ◽  
Vol 90 (8) ◽  
Author(s):  
Emmanuele Battista ◽  
Giampiero Esposito
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Body Problem ◽  
Effective Field ◽  
Three Body Problem ◽  
Three Body ◽  
Models Of Gravity

Renormalized three-body equations with short-range forces

2011 ◽  
Vol 89 (10) ◽  
pp. 1009-1013
Author(s):  
Ahmed Osman
Keyword(s):  
Effective Field Theory ◽  
Short Range ◽  
Body Problem ◽  
Phase Shifts ◽  
Effective Field ◽  
Three Body Problem ◽  
Deuteron Breakup ◽  
Deuteron Scattering ◽  
Group Invariant ◽  
Three Body

A three-body problem for a system of three nucleons interacting with short-range forces is discussed following effective field theory. Considering the case of a system of neutron–deuteron scattering, three-body equations are demonstrated such that the eigenvalues greater than unity are removed from the kernel leading to an equation that is renormalization-group invariant. The phase shifts are developed from a unique solution of the case of the doubled channel in neutron–deuteron scattering. The calculated neutron–deuteron phase shifts are well described below the deuteron breakup threshold.

scholarly journals Three-body systems in physics of cold atoms and halo nuclei

2016 ◽  
Vol 25 (05) ◽  
pp. 1641003 ◽  
Author(s):  
Chen Ji
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Cold Atoms ◽  
Effective Field ◽  
Low Energy ◽  
Halo Nuclei ◽  
Particle Interactions ◽  
Body Contact ◽  
Low Energies ◽  
Three Body

Few-body systems, such as cold atoms and halo nuclei, share universal features at low energies, which are insensitive to the underlying inter-particle interactions at short ranges. These low-energy properties can be investigated in the framework of effective field theory with two-body and three-body contact interactions. I review the effective-field-theory studies of universal physics in three-body systems, focusing on the application in cold atoms and halo nuclei.

scholarly journals Three-body systems in pionless effective field theory

2016 ◽  
Vol 25 (05) ◽  
pp. 1641002 ◽  
Author(s):  
Jared Vanasse
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Bound State ◽  
Effective Field ◽  
Nuclear Systems ◽  
History Of ◽  
Three Body ◽  
Theory Formula

Investigations of three-body nuclear systems using pionless effective field theory ([Formula: see text]) are reviewed. The history of [Formula: see text] in [Formula: see text] and [Formula: see text] scattering is briefly discussed and emphasis put on the use of strict perturbative techniques. In addition renormalization issues appearing in [Formula: see text] scattering are also presented. Bound state calculations are addressed and new perturbative techniques for describing them are highlighted. Three-body breakup observables in [Formula: see text] scattering are also considered and the utility of [Formula: see text] for addressing them.

scholarly journals RECENT DEVELOPMENTS IN THE NUCLEAR MANY-BODY PROBLEM

2003 ◽  
Vol 17 (28) ◽  
pp. 5111-5126 ◽  
Author(s):  
R. J. FURNSTAHL
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Body Problem ◽  
Traditional Approach ◽  
Effective Field ◽  
Analytic Structure ◽  
Many Body ◽  
Quarter Century ◽  
Theoretical Approaches ◽  
Recent Developments

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 experimental capabilities and theoretical approaches are opening windows into the richness of many-body phenomena in QCD. A common theme is the use of effective field theory (EFT) methods, which exploit the separation of scales in physical systems. At low energies, effective field theory can explain how existing phenomenology emerges from QCD and how to refine it systematically. More generally, the application of EFT methods to many-body problems promises insight into the analytic structure of observables, the identification of new expansion parameters, and a consistent organisation of many-body corrections, with reliable error estimates.

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