Pion-delta sigma-term

Abstract

We use a configuration space chiral model in order to evaluate nucleon and delta sigma-terms. Analytic expressions are consistent with chiral counting rules and give rise to expected non-analytic terms in the chiral limit. We obtain the results ${\sigma }_N=46$ MeV and ${\sigma }_{\Delta }=32$ MeV, which are very close to values extracted from experiment and produced by other groups.

18 pages, 4 figures

References in corpus (10)

• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Low energy analysis of pi N --> pi N
• Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields
• Sigma-term physics in the perturbative chiral quark model
• Subleading-twist effects in single-spin asymmetries in semi-inclusive deep-inelastic scattering on a longitudinally polarized hydrogen target
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• Two-pion exchange nucleon-nucleon potential:O(q^4) relativistic chiral expansion
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Cited by in corpus (10)

• Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
• Delta isobars in relativistic mean-field models with $\sigma$-scaled hadron masses and couplings
• Pion cloud effects on baryon masses
• Probing the quark-gluon interaction with hadrons
• Chiral corrections to the Roper mass
• Quark mass dependence of baryon properties
• Meson-baryon sigma terms in QCD Sum Rules
• Two and Three Nucleon Forces
• Nuclear Interactions: The Chiral Picture
• Scalar form factors and nuclear interactions