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  • 标题:Evidence for chiral logarithms in the baryon spectrum
  • 本地全文:下载
  • 作者:A. Walker-Loud
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2011
  • 卷号:2011
  • 期号:Lattice2011
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:Using precise lattice QCD computations of the baryon spectrum, we present the first direct evidence for the presence of contributions to the baryon masses which are non-analytic in the light quark masses; contributions which are often denoted chiral logarithms. We isolate the poor convergence of SU(3) baryon chiral perturbation theory to the flavor-singlet mass combination. The flavor-octet baryon mass splittings, which are corrected by chiral logarithms at next to leading order in SU(3) chiral perturbation theory, yield baryon-pion axial coupling constants D;F;C and H consistent with QCD values; the first evidence of chiral logarithms in the baryon spectrum. The Gell-Mann–Okubo relation, a flavor-27 baryon mass splitting, which is dominated by chiral corrections from light quark masses, provides further evidence for the presence of non-analytic light quark mass dependence in the baryon spectrum; we simultaneously find the GMO relation to be inconsistent with the first few terms in a taylor expansion in ms􀀀ml , which must be valid for small values of this SU(3) breaking parameter. Additional, more definitive tests of SU(3) chiral perturbation theory will become possible with future, more precise, lattice calculations.
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