Köln 2004 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 26: Theory IV

HK 26.1: Group Report

Wednesday, March 10, 2004, 10:45–11:15, D

Nucleon mass, sigma term and lattice QCD — •Massimiliano Procura^1,2, Thomas Hemmert¹, and Wolfram Weise^1,2 — ¹Physik Department, Theoretische Physik T39, TU München, Germany — ²ECT^*, Trento, Italy.

We analyse the quark mass dependence of the nucleon mass in relativistic SU(2) baryon chiral perturbation theory as described in [1]. In such a framework we perform an interpolation of this nucleon property between a selected set of fully dynamical two-flavor lattice QCD data [2] and its physical value. We obtain a good interpolation function already at the one-loop level. We show that the next-to-leading one-loop corrections are small. Using results from such analysis we study also the quark mass dependence of the pion-nucleon sigma term.

Work supported in part by BMBF and DFG.

• [1] T. Becher and H. Leutwyler, Eur. Phys. J. C9, 643 (1999).
• [2] M. Procura, T. Hemmert and W. Weise, [hep-lat/0309020],
  [2] submitted to Phys. Rev. D.