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Dispersive and absorptive corrections to the pion-deuteron scattering length

arXiv:nucl-th/0608042 · doi:10.1016/j.physletb.2006.12.078

Abstract

We present a parameter--free calculation of the dispersive and absorptive contributions to the pion--deuteron scattering length based on chiral perturbation theory. We show that once all diagrams contributing to leading order to this process are included, their net effect provides a small correction to the real part of the pion--deuteron scattering length. At the same time the sizable imaginary part of the pion--deuteron scattering length is reproduced accurately.

Numerical error corrected. Results for dispersive corrections changed - conclusions unchanged. Version as accepted by Phys. Lett. B