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Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

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Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

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dc.contributor.author Álvarez Ruso, Luis
dc.contributor.author Ledwig, T.
dc.contributor.author Martín Camalich, Jorge
dc.contributor.author Vicente Vacas, Manuel José
dc.date.accessioned 2014-02-18T12:06:34Z
dc.date.available 2014-02-18T12:06:34Z
dc.date.issued 2013
dc.identifier.citation Alvárez-Ruso, Luis Ledwig, T. Martín Camalich, Jorge Vicente Vacas, Manuel José 2013 Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data Physical Review D 88 5 054507
dc.identifier.uri http://hdl.handle.net/10550/33037
dc.description.abstract The pion mass dependence of the nucleon mass within the covariant SU(2) baryon chiral perturbation theory both without and with explicit Delta(1232) degrees of freedom up to order p(4) is investigated. By fitting to a comprehensive set of lattice QCD data in 2 and 2 + 1 flavors from several collaborations, for pion masses M-pi < 420 MeV, we obtain low energy constants of natural size that are compatible with pion-nucleon scattering data. Our results are consistent with the rather linear pion mass dependence showed by lattice QCD. In the 2 flavor case we have also performed simultaneous fits to nucleon mass and sigma(pi N) data. As a result of our analysis, which encompasses the study of finite volume corrections and discretization effects, we report a value of sigma(pi N) = 41(5)(4) MeV in the 2 flavor case and sigma(pi N) = 52(3)(8) MeV for 2 + 1 flavors, where the inclusion of the Delta(1232) resonance changes the results by around 9 MeV. In the 2 flavor case we are able to set independently the scale for lattice QCD data, given by a Sommer scale of r(0) = 0.493(23) fm.
dc.relation.ispartof Physical Review D, 2013, vol. 88, num. 5, p. 054507
dc.subject Física nuclear
dc.title Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data
dc.type journal article es_ES
dc.date.updated 2014-02-18T12:06:34Z
dc.identifier.doi 10.1103/PhysRevD.88.054507
dc.identifier.idgrec 091333
dc.rights.accessRights open access es_ES

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