More on the infrared renormalization group limit cycle in QCD

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dc.creatorEpelbaum, E.
dc.creatorHammer, H. -W.
dc.creatorMeißner, Ulf-G.
dc.creatorNogga, A.
dc.date2006-02-24
dc.date2006-07-05
dc.date.accessioned2026-07-07T12:25:25Z
dc.date.available2026-07-07T12:25:25Z
dc.descriptionWe 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.
dc.description17 pages, 7 figures, discussion improved, results unchanged, version to appear in EPJC
dc.identifierhttps://arxiv.org/abs/hep-ph/0602225
dc.identifierhttp://arxiv.org/abs/hep-ph/0602225
dc.identifierEur.Phys.J.C48:169-178,2006
dc.identifierdoi:10.1140/epjc/s10052-006-0004-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214608
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleMore on the infrared renormalization group limit cycle in QCD
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