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 Effective field theory for bound state reflection

2013 ◽  
Vol 331 ◽  
pp. 24-50 ◽  
Author(s):  
Michelle Pine ◽  
Dean Lee
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Bound State ◽  
Effective Field

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 Hypernuclei in halo/cluster effective field theory

2016 ◽  
Vol 25 (05) ◽  
pp. 1641005 ◽  
Author(s):  
Shung-Ichi Ando
Keyword(s):  
Field Theory ◽  
Limit Cycle ◽  
Effective Field Theory ◽  
Bound States ◽  
Scattering Length ◽  
Bound State ◽  
High Energy ◽  
Effective Field ◽  
Unitary Limit ◽  
Energy Mechanism

The light double [Formula: see text] hypernuclei, [Formula: see text] and [Formula: see text], are studied as three-body [Formula: see text] and [Formula: see text] cluster systems in halo/cluster effective field theory at leading order. We find that the [Formula: see text] system in spin-0 channel does not exhibit a limit cycle whereas the [Formula: see text] system in spin-1 channel and the [Formula: see text] system in spin-0 channel do. The limit cycle is associated with the formation of bound states, known as Efimov states, in the unitary limit. For the [Formula: see text] system in the spin-0 channel we estimate the scattering length [Formula: see text] for [Formula: see text]-wave [Formula: see text] hyperon–hypertriton scattering as [Formula: see text][Formula: see text]fm. We also discuss that studying the cutoff dependences in the [Formula: see text] and [Formula: see text] systems, the bound state of [Formula: see text] is not an Efimov state but formed due to a high energy mechanism whereas that of [Formula: see text] may be regarded as an Efimov state.

Sign in / Sign up

Export Citation Format

Share Document