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arxiv: nucl-th/9811062 · v4 · submitted 1998-11-17 · ⚛️ nucl-th

The pion photoproduction in the Delta(1232) region

classification ⚛️ nucl-th
keywords deltaregionamplitudesphotoproductionpionappropriatebecomebreaks
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We investigate the pion photoproduction in the \Delta(1232) region in the framework of an effective Lagrangian including pions, nulceon and \Delta(1232). We work to third order in a small scale expansion with both $m_{\pi}$ and $M_{\Delta}-M_N$ treated as light scales. We note that in the $\Delta$ region, straightward power counting breaks as the amplitudes become very large, to deal with this problem, we suggest that the appropriate way to compare theoretical calculations with experimental data is via weighted integrals of the amplitudes through the $\Delta$ region.

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