Sum rule for the backward spin polarizability of the nucleon from a backward dispersion relation

Abstract

A new sum rule for ${\gamma }_{\pi }$, the backward spin polarizability of the nucleon, is derived from a backward-angle dispersion relation. Taking into account single- and multi-pion photoproduction in the s-channel up to the energy 1.5 GeV and resonances in the t-channel with mass below 1.5 GeV, it is found for the proton and neutron that $[{\gamma }_{\pi }{]}_p$ = -39.5 +/- 2.4 and $[{\gamma }_{\pi }{]}_n$ = 52.5 +/- 2.4, respectively, in units of 10^{-4} fm^4.

10 pages, 1 figure, revtex. Submitted to Phys. Lett. B

References in corpus (6)

• Multipole analysis of pion photoproduction based on fixed t dispersion relations and unitarity
• Low-Energy Compton Scattering of Polarized Photons on Polarized Nucleons
• Compton Scattering and the Spin Structure of the Nucleon at Low Energies
• First Extraction of a Spin-Polarizability of the Proton
• Dispersion relations and the spin polarizabilities of the nucleon
• Pion photoproduction in the delta resonance region

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• Hadron structure at low Q^2
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• Backward spin polarizability ${\gamma }_{\pi }$ of the proton
• Electromagnetic polarizabilities of the nucleon and properties of the $\sigma$-meson pole contribution
• Anomaly-induced Quadrupole Moment of the Neutron in Magnetic Field
• Properties of the ${\pi }^0$, $\eta$, ${\eta }^{\prime }$, $\sigma$, $f_0(980)$ and $a_0(980)$ mesons and their relevance for the polarizabilities of the nucleon
• Dispersion theory of nucleon Compton scattering and polarizabilities
• Predictions for Polarized-Beam/Vector-Polarized-Target Observables in Elastic Compton Scattering on the Deuteron
• Polarizabilities of the nucleon and spin dependent photo-absorption
• Observation of the Higgs Boson of strong interaction via Compton scattering by the nucleon
• Structure of the nucleon and spin-polarizabilities
• Photoproduction of electron-positron pairs on the proton in the resonance region
• Studies on the electromagnetic structure of the nucleon by free and quasi-free Compton scattering at MAMI (Mainz)
• Compton Scattering by the Nucleon