Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system

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dc.contributor.authorSzpigel S.
dc.contributor.authorTimoteo V.S.
dc.date.accessioned2024-03-13T01:07:14Z
dc.date.available2024-03-13T01:07:14Z
dc.date.issued2012
dc.description.abstractWe apply the subtracted kernel method (SKM), a renormalization approach based on recursive multiple subtractions performed in the kernel of the scattering equation, to the chiral nucleon-nucleon (NN) interactions up to nextto- next-to-leading-order.We evaluate the phase-shifts in the 1S 0 channel at each order in Weinberg's power counting scheme and in a modified power counting scheme which yields a systematic power-law improvement. We also explicitly demonstrate that the SKM procedure is renormalization group invariant under the change of the subtraction scale through a non-relativistic Callan-Symanzik flow equation for the evolution of the renormalized NN interactions. © 2012 IOP Publishing Ltd.
dc.description.issuenumber10
dc.description.volume39
dc.identifier.doi10.1088/0954-3899/39/10/105102
dc.identifier.issn0954-3899
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/36761
dc.relation.ispartofJournal of Physics G: Nuclear and Particle Physics
dc.rightsAcesso Restrito
dc.titlePower counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
dc.typeArtigo
local.scopus.citations14
local.scopus.eid2-s2.0-84866316306
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84866316306&origin=inward
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