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Sigma-term form factor of the nucleon in the large-Nc limit

P. Schweitzer

  • Dipartimento di Fisica Nucleare e Teorica, Università degli Studi di Pavia, Pavia, Italy
  • Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany

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Phys. Rev. D 69, 034003 – Published 20 February, 2004

DOI: https://doi.org/10.1103/PhysRevD.69.034003

Abstract

The scalar isoscalar form factor σ(t) of the nucleon is calculated in the limit of a large number of colors in the framework of the chiral quark-soliton model. The calculation is free of adjustable parameters and based on an approximation justified by the small packing fraction of instantons in the QCD vacuum model, from which the chiral quark-soliton model was derived. The result for σ(t) reproduces all features of the form factor observed in previous exact numerical calculations in the chiral quark-soliton model and in chiral perturbation theory, and agrees well with the available phenomenological information. The Feynman-Hellmann theorem is used to study the pion mass dependence of the nucleon mass and a good agreement with lattice QCD results is observed. The use of the present method to extrapolate lattice data to the chiral limit is discussed.

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Phys. Rev. D 69, 034003– Published 20 February, 2004
  • Received 9 August 2003

© 2004 American Physical Society

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