6533b854fe1ef96bd12af50d
RESEARCH PRODUCT
Polarizability contributions to the neutron-lepton amplitude at threshold
Cecilia JarlskogCecilia JarlskogJose Bernabeusubject
PhysicsNuclear and High Energy PhysicsAstrophysics::High Energy Astrophysical PhenomenaCompton scatteringFísicaVirtual particleCompton wavelengthInelastic scatteringNuclear physicsScattering amplitudeAmplitudePolarizabilityQuantum electrodynamicsNeutronParticle Physicsdescription
Abstract Motivated by recent interest in the neutron-electron scattering amplitude at threshold, a detailed investigation of the two-photon exchange contribution, commonly known as the polarizability correction, to this amplitude is made, for general lepton mass. The contributions is related to the amplitude describing forward virtual Compton scattering on neutrons. To calculate it, we write dispersion relations for the Compton amplitudes and make use of the present knowledge of the neutron structure functions as well as the scaling hypothesis. The correction is much larger for muons than for electrons. Further, we discuss the region of validity of the extreme relativistic and the classical approximations treated in the literature by giving the relevant parameter which leads naturally from one case to the other.
year | journal | country | edition | language |
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1973-01-01 |