Block-diagonal similarity renormalization group and effective nucleon-nucleon interactions

dc.contributor.authorSzpigel S.
dc.contributor.authorTimoteo V.S.
dc.contributor.authorArriola E.R.
dc.date.accessioned2024-03-13T00:53:13Z
dc.date.available2024-03-13T00:53:13Z
dc.date.issued2016
dc.description.abstract© Published under licence by IOP Publishing Ltd.We apply the block-diagonal similarity renormalization group to a simple toy-model for the nucleon-nucleon (NN) interaction in the 1 S 0 channel, aiming to analyze the complementarity between the explicit and the implicit renormalization approaches in nuclear physics. By explicit renormalization we mean the methods based on the wilsonian renormalization group in which high-energy modes above a given cutoff scale are integrated out while their effects are replaced by scale dependent effective interactions consistently generated in the process. We call implicit renormalization the usual procedure of cutoff effective theories in which the high-energy modes above the cutoff scale are simply removed and their effects are included through parametrized cutoff dependent counterterms whose strengths are fixed by fitting low-energy data. We compare the effective interactions obtained in both schemes and find a wide range of cutoff scales where they overlap. We further analyze the role played by the one-pion exchange (OPE) considering a δ-shell plus OPE representation for the NN interaction.
dc.description.issuenumberSection 5
dc.description.volume706
dc.identifier.doi10.1088/1742-6596/706/5/052034
dc.identifier.issn1742-6596
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/35973
dc.relation.ispartofJournal of Physics: Conference Series
dc.rightsAcesso Aberto
dc.titleBlock-diagonal similarity renormalization group and effective nucleon-nucleon interactions
dc.typeArtigo de evento
local.scopus.citations1
local.scopus.eid2-s2.0-84985995053
local.scopus.subjectBlock diagonal
local.scopus.subjectEffective interactions
local.scopus.subjectEffective theories
local.scopus.subjectHigh energy modes
local.scopus.subjectNucleon-nucleon
local.scopus.subjectNucleon-nucleon interaction
local.scopus.subjectRenormalization
local.scopus.subjectRenormalization group
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84985995053&origin=inward
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