The sigma-term form factor of the nucleon in the large-Nc limit

Abstract

The scalar isoscalar form factor of the nucleon is calculated in the limit of a large number of colours in the framework of the chiral quark-soliton model. The calculation is based on an approximation justified by arguments from the instanton model of the QCD vacuum, from which the chiral quark-soliton model was derived. The simple parameter-free result reproduces all features of the form factor observed in previous exact calculations in that model and in chiral perturbation theory, and well agrees 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.

19 pages, 6 figures. References added & updated, modifications in Secs. I & VII, results unchanged

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Cited by in corpus (22)

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• Hard-core deconfinement and soft-surface delocalization from nuclear to quark matter
• Probing Light Dark Matter with a Hadrophilic Scalar Mediator
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Baryon masses and nucleon sigma terms in manifestly Lorentz-invariant baryon chiral perturbation theory
• Updated analysis of meson-nucleon sigma terms in the perturbative chiral quark model
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Extraction of the pion-nucleon sigma-term from the spectrum of exotic baryons
• Correlated two-pion exchange and large-N(C) behavior of nuclear forces
• Pion mass dependence of the nucleon mass in the chiral quark soliton model
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Pion-nucleon Sigma Term in the Global Color Model of QCD
• Scalar form-factor of the proton with light-cone QCD sum rules
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Differential cross sections of the charge-exchange reaction pi- p --> pi0 n in the momentum range from 103 to 178 MeV/c
• Quark flavor distribution functions for the octet baryons in the chiral quark constituent model
• Transversity distribution in spin asymmetries in semi-inclusive DIS and in the Drell-Yan process
• Meson-baryon sigma terms in QCD Sum Rules
• Pion mass dependence of the electromagnetic form factors of singly heavy baryons
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model