2,905 research outputs found

    Scalar strangeness content of the nucleon and baryon sigma terms

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    The scalar strangeness content of the nucleon, characterized by the so-called strangeness-nucleon sigma term, is of fundamental importance in understanding its sea-quark flavor structure. We report a determination of the octet baryon sigma terms via the Feynman-Hellmann theorem by analyzing the latest high-statistics nf=2+1n_f=2+1 lattice QCD simulations with covariant baryon chiral perturbation theory up to next-to-next-to-next-to-leading order. In particular, we predict σπN=55(1)(4)\sigma_{\pi N}=55(1)(4) MeV and σsN=27(27)(4)\sigma_{sN}=27(27)(4) MeV, while the first error is statistical and the second systematic due to different lattice scales. The predicted σsN\sigma_{sN} is consistent with the latest LQCD results and the results based on the next-to-next-to-leading order chiral perturbation theory. Several key factors in determining the sigma terms are systematically taken into account and clarified for the first time, including the effects of lattice scale setting, systematic uncertainties originating from chiral expansion truncations, and constraint of strong-interaction isospin breaking effects.Comment: 6 pages, 2 figures; version to appear in Physical Review

    Octet baryon masses and sigma terms in covariant baryon chiral perturbation theory

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    We report an analysis of the octet baryon masses using the covariant baryon chiral perturbation theory up to next-to-next-to-next-to-leading order with and without the virtual decuplet contributions. Particular attention is paid to the finite-volume corrections and the finite lattice spacing effects on the baryon masses. A reasonable description of all the publicly available nf=2+1n_f=2+1 lattice QCD data is achieved.Utilyzing the Feynman-Hellmann theorem, we determine the nucleon sigma terms as σπN=55(1)(4)\sigma_{\pi N}=55(1)(4) MeV and σsN=27(27)(4)\sigma_{sN}=27(27)(4) MeV.Comment: 4 pages; presented by Xiu-Lei Ren at The Seventh International Symposium on Chiral Symmetry in Hadrons and Nuclei (Chiral 2013), October 27-30, 2013, Beijing, Chin

    Baryon chiral perturbation theory with Wilson fermions up to O(a2)\mathcal{O}(a^2) and discretization effects of latest nf=2+1n_f=2+1 LQCD octet baryon masses

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    We construct the chiral Lagrangians relevant in studies of the ground-state octet baryon masses up to O(a2)\mathcal{O}(a^2) by taking into account discretization effects and calculate the masses up to O(p4)\mathcal{O}(p^4) in the extended-on-mass-shell scheme. As an application, we study the latest nf=2+1n_f=2+1 LQCD data on the ground-state octet baryon masses from the PACS-CS, QCDSF-UKQCD, HSC, and NPLQCD Collaborations. It is shown that the discretization effects for the studied LQCD simulations are at the order of one to two percent for lattice spacings up to 0.150.15 fm and the pion mass up to 500 MeV.Comment: 19 pages, 2 figures; discussions extended; version to appear in The European Physical Journal

    Topological Nature of the Phonon Hall Effect

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    We provide a topological understanding on phonon Hall effect in dielectrics with Raman spinphonon coupling. A general expression for phonon Hall conductivity is obtained in terms of the Berry curvature of band structures. We find a nonmonotonic behavior of phonon Hall conductivity as a function of magnetic field. Moreover, we observe a phase transition in phonon Hall effect, which corresponds to the sudden change of band topology, characterized by the altering of integer Chern numbers. This can be explained by touching and splitting of phonon bands.Comment: 12 pages, 4 figures. Detailed supplementary file is include
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