Pion photoproduction in theΔ(1232)region

1998/11/30 by Chung Wen Kao, Thomas D. Cohen · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.60.064619

published as Phys.Rev. C60 (1999) 064619 · 34 pages and 5 figures,new counterterms arr added

arxiv created 1999/05/26 · openalex publication_date 1999/11/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate the pion photoproduction off the nucleon in the \ensuremathΔ region in the framework of an effective chiral Lagrangian including pions, nucleon, and \ensuremathΔ(1232). We work to third order in a small scale expansion with both m_\ensuremathπ and M_\ensuremathΔ\ensuremath-M_N treated as light scales. We note that in the \ensuremathΔ region, straightforward power counting breaks down as the amplitude becomes very large. To deal with this problem, we suggest that the appropriate way to compare the theoretical calculations with experimental data is via weighted integrals of the amplitudes through the \ensuremathΔ region.

Citations

• Δ(1232)and the polarizabilities of the nucleon
• On a Theory of Particles with Half-Integral Spin
• Chiral Dynamics in Nucleons and Nuclei

Cited by

• Consistency of theπΔinteraction in chiral perturbation theory