Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-09-07
Phys.Rev.D79:054001,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
14pages, 11 figures
Scientific paper
We analyze the amplitude of radiative charged pion photoproduction within the framework of heavy baryon chiral perturbation theory (HBChPT) and discuss the best experimental setup for the extraction of the charged pion polarizabilities from the differential cross section. We find that the contributions from two unknown low energy constants(LECs) in the $\pi N$ chiral Lagrangian at order $p^{3}$ are comparable with the contributions of the charged pion polarizabilities. As a result, it is necessary to take these two LECs' effects into account. Furthermore, we discuss the applicability of the extrapolation method and conclude that this method is applicable only if the polarization vector of the incoming photon is perpendicular to the scattering plane in the center of mass frame of the final $\gamma-\pi$ system.
Kao Chung-Wen
Norum Blaine E.
Wang Kebin
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