Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-04-09
Phys.Rev.C61:015204,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
Scientific paper
10.1103/PhysRevC.61.015204
We present fixed-$t$ subtracted dispersion relations for Compton scattering off the nucleon at energies $E_\gamma \leq$ 500 MeV, as a formalism to extract the nucleon polarizabilities with a minimum of model dependence. The subtracted dispersion integrals are mainly saturated by $\pi N$ intermediate states in the $s$-channel $\gamma N \to \pi N \to \gamma N$ and $\pi \pi$ intermediate states in the $t$-channel $\gamma \gamma \to \pi \pi \to N \bar N$. For the subprocess $\gamma \gamma \to \pi \pi$, we construct a unitarized amplitude and find a good description of the available data. We show results for Compton scattering using the subtracted dispersion relations and display the sensitivity on the scalar polarizability difference $\alpha - \beta$ and the backward spin polarizability $\gamma_\pi$, which enter directly as fit parameters in the present formalism.
Drechsel Dieter
Gorchtein Mikhail
Pasquini Barbara
Vanderhaeghen Marc
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