Journal Article

PreJuSER-54734

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png More on the infrared renormalization group limit cycle in QCD

Epelbaum, E.FZJ* ; Hammer, W. ; Meissner, U. G.FZJ* ; Nogga, A.FZJ*

2006
Springer Berlin

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Please use a persistent id in citations: http://hdl.handle.net/2128/10588  doi:10.1140/epjc/s10052-006-0004-x

Abstract: We present a detailed study of the recently conjectured infrared renormalization group limit cycle in QCD using chiral effective field theory. It was conjectured that small increases in the up and down quark masses can move QCD to the critical trajectory for an infrared limit cycle in the three-nucleon system. At the critical quark masses, the binding energies of the deuteron and its spin-singlet partner are tuned to zero and the triton has infinitely many excited states with an accumulation point at the three-nucleon threshold. We exemplify three parameter sets where this effect occurs at next-to-leading order in the chiral counting. For one of them, we study the structure of the three-nucleon system in detail using both chiral and contact effective field theories. Furthermore, we investigate the matching of the chiral and contact theories in the critical region and calculate the influence of the limit cycle on three-nucleon scattering observables.

Keyword(s): quantum chromodynamics ; renormalization group ; infrared ; effective Lagrangian: chiral ; quark: mass ; deuteron: binding energy ; spin: singlet ; tritium ; nucleon nucleon: scattering length ; bound state: (3nucleon) ; ground state: energy ; pi: mass ; numerical calculations

Note: Record converted from VDB: 12.11.2012

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Contributing Institute(s):

1. Institut 3 (Theoretische Kernphysik) (IKP-TH)
2. Jülich-Aachen Research Alliance - Simulation Sciences (JARA-SIM)

Research Program(s):

1. Physik der Hadronen und Kerne (P53)

Appears in the scientific report 2006

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Database coverage:

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