Quark mass dependence of nucleon mass and axial-vector coupling constant
M. Procura, B. U. Musch, T. R. Hemmert, W. Weise
Abstract
We present an updated analysis of the quark mass dependence of the nucleon mass and nucleon axial-vector coupling gA, comparing different formulations of SU(2) Baryon Chiral Effective Field Theory, with and without explicit delta (1232) degrees of freedom. We discuss the outcome of the corresponding interpolations between lattice QCD data and the physical values for these two nucleon observables. It turns out that in order to obtain successful interpolating functions at one-loop order, the inclusion of explicit delta (1232) degrees of freedom is not decisive for the nucleon mass but crucial for gA. A chiral extrapolation of recent lattice results by the LHP collaborations is also shown.
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