Electromagnetic polarizabilities and the excited states of the nucleon

Abstract

The electromagnetic polarizabilities of the nucleon are shown to be essentially composed of the nonresonant $α_p(E_{0+})=+3.2$, $α_n(E_{0+})=+4.1$,the $t$-channel $α^t_{p,n}=-β^t_{p,n}=+7.6$ and the resonant $β_{p,n}(P_{33}(1232))=+8.3$ contributions (in units of $10^{-4}$fm$^3$. The remaining deviations from the experimental data $Δα_p=1.2\pm 0.6$, $Δβ_p=1.2\mp 0.6$, Δα_n=0.8\pm 1.7$ and $Δβ_n=2.0\mp 1.8$ are contributed by a larger number of resonant and nonresonant processes with cancellations between the contributions. This result confirms that dominant contributions to the electric and magnetic polarizabilities may be represented in terms of two-photon couplings to the $σ$-meson having the predicted mass $m_σ=666$ MeV and two-photon width $Γ_{γγ}=2.6$ keV.