Abstract
The Das-Mathur-Okubo (DMO) sum rule for the polarizability of charged pions is evaluated for the Nambu-Jona-Lasinio model Lagrangian in both its minimal and extended forms. A comparison is made with the results obtained using the same sum rule from chiral perturbation theory ( χPT), approximate QCD sum rule calculations, explicit calculations on the lattice by Wilcox, and using the semi-empirical Kapusta-Shuryak spectral densities. The χPT results from Compton scattering are also given. We point to a delicate cancellation between the intrinsic and recoil contributions to α π ± in the DMO sum rule approach that can lead to calculated polarizabilities of either sign.
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