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

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

1998-07-09

arxiv.org/abs/nucl-th/9807032v1

Phys.Rev. C59 (1999) 1064-1069

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.59.1064

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.

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