6533b874fe1ef96bd12d624f
RESEARCH PRODUCT
A dispersion relation for the pion-mass dependence of hadron properties
T. LedwigMarc VanderhaeghenVladimir Pascalutsasubject
PhysicsChiral behaviorSunset diagramNuclear and High Energy PhysicsParticle physicsChiral perturbation theoryNuclear TheoryPlane (geometry)AnalyticityHadronNuclear TheoryFOS: Physical sciencesDelta(1232)Magnetic momentNuclear Theory (nucl-th)High Energy Physics - PhenomenologyPionHigh Energy Physics - Phenomenology (hep-ph)PolarizabilityDispersion relationPolarizabilityPerturbation theory (quantum mechanics)Nucleon massNucleonNuclear Experimentdescription
We present a dispersion relation in the pion-mass squared, which static quantities (nucleon mass, magnetic moment, etc.) obey under the assumption of analyticity in the entire complex $m_\pi^2$ plane modulo a cut at negative $m_\pi^2$ associated with pion production. The relation is verified here in a number of examples of nucleon and $\Delta$-isobar properties computed in chiral perturbation theory up to order $p^3$. We outline a method to obtain relations for other mass-dependencies, and illustrate it on a two-loop example.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-04-20 |