Berlin 2005 – wissenschaftliches Programm

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HK: Physik der Hadronen und Kerne

HK 12: Theorie

HK 12.6: Vortrag

Freitag, 4. März 2005, 18:00–18:15, TU MA041

Quark mass dependence of nucleon properties and lattice QCD — •Massimiliano Procura, Thomas R. Hemmert, Bernhard U. Musch, and Wolfram Weise — Institute for Theoretical Physics (T39), TU München, Germany

We present an updated analysis of the quark mass dependence of the nucleon mass M_N [1,2] and the nucleon axial-vector coupling constant g_A [2], comparing two different formulations of SU(2) Baryon Chiral Effective Field Theory, with [3] and without [4] explicit Δ(1232) degrees of freedom. We perform an interpolation of these nucleon properties between their physical values and sets of fully dynamical two-flavor lattice QCD data. We obtain good interpolation functions already at the one-loop level. The inclusion of Δ(1232) as an explicit degree of freedom turns out to be not essential for the nucleon mass, but crucial for g_A. Our study represents a first step towards a systematic approach for chiral extrapolation of lattice results for nucleon observables.

Work supported in part by DFG and BMBF.

• [1] M. Procura, T.R. Hemmert and W. Weise, Phys. Rev. D69 (2004).
• [2] M. Procura, T.R. Hemmert, B.U. Musch and W. Weise, in preparation.
• [3] V. Bernhard, T.R. Hemmert and U.-G. Meißner, Phys. Lett. B565 (2003).
• [4] T. Becher and H. Leutwyler, Eur. Phys. J. C9 (1999).