The pion photoproduction in the Δ(1232) region

Details The pion photoproduction in the Δ(1232) region The pion photoproduction in the Δ(1232) region

1998-11-17

arxiv.org/abs/nucl-th/9811062v4

Phys.Rev. C60 (1999) 064619

Physics

Nuclear Physics

Nuclear Theory

34 pages and 5 figures,new counterterms arr added

Scientific paper

10.1103/PhysRevC.60.064619

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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