Chiral corrections to the Kroll-Ruderman theorem

Abstract

We calculate the one--loop corrections to the Kroll--Ruderman low--energy theorems for charged pion photoproduction in the framework of heavy baryon chiral perturbation theory. We predict the threshold S--wave multipole $E_{0+}$ to be $E_{0+}^{\mathrm{thr}}(\gamma p\to {\pi }^{+}n)=(28.2\pm 0.6)\cdot 10^{-3}/M_{\pi }$ and $E_{0+}^{\mathrm{thr}}(\gamma n\to {\pi }^{-}p)=(-32.7\pm 0.6)\cdot 10^{-3}/M_{\pi }$, respectively, for a fixed pion--nucleon coupling constant, $g_{\pi N}=13.4$. A comparison to the existing data is also given.

7 pp, LaTeX

References in corpus (3)

• Chiral Dynamics in Nucleons and Nuclei
• The reaction $\pi N\to \pi \pi N$ at threshold in chiral perturbation theory
• Chiral symmetry and the reaction $\gamma p\to {\pi }^{0}p$

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