2003/07/31 by P. Schweitzer · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.69.034003
published as Phys.Rev. D69 (2004) 034003 · 19 pages, 6 figures. References added & updated, modifications in Secs. I & VII, results unchanged
arxiv created 2004/02/19 · openalex publication_date 2004/02/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The scalar isoscalar form factor \ensuremathσ(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 \ensuremathσ(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.