Article ID Journal Published Year Pages File Type
10720734 Nuclear Physics B 2013 25 Pages PDF
Abstract
We analyze Nf=2 nucleon mass data with respect to their dependence on the pion mass down to mπ=157MeV and compare it with predictions from covariant baryon chiral perturbation theory (BChPT). A novel feature of our approach is that we fit the nucleon mass data simultaneously with the directly obtained pion-nucleon σ-term. Our lattice data below mπ=435MeV is well described by O(p4) BChPT and we find σ=37(8)(6)MeV for the σ-term at the physical point. Using the nucleon mass to set the scale we obtain a Sommer parameter of r0=0.501(10)(11)fm.
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Physical Sciences and Engineering Mathematics Mathematical Physics
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