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${{\mathit \Delta}{(1232)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

Papers on ${{\mathit \gamma}}{{\mathit N}}$ amplitudes predating 1981 may be found in our 2006 edition, Journal of Physics G33 1 (2006).

${{\mathit \Delta}{(1232)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , ${{\mathit E}_{{2}}}/{{\mathit M}_{{1}}}$ ratio

INSPIRE   PDGID:

B033EMR

VALUE DOCUMENT ID TECN  COMMENT $\bf{ -0.030\text{ to }-0.020\text{ }(\approx-0.025) }$ OUR ESTIMATE $-0.0274$ $\pm0.0003$ $\pm0.0030$ AHRENS 2004 A DPWA $\vec\gamma\vec {{\mathit p}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \pi}}$ $-0.020$ $\pm0.002$ ARNDT 2002 DPWA ${{\mathit \gamma}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \pi}}$ $-0.0307$ $\pm0.0026$ $\pm0.0024$ BLANPIED 2001 LEGS ${{\mathit \gamma}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , ${{\mathit p}}{{\mathit \pi}^{0}}$ , ${{\mathit n}}{{\mathit \pi}^{+}}$ $-0.016$ $\pm0.004$ $\pm0.002$ GALLER 2001 DPWA ${{\mathit \gamma}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit p}}$ $-0.025$ $\pm0.001$ $\pm0.002$ BECK 2000 IPWA $\vec\gamma$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \pi}^{0}}$ , ${{\mathit n}}{{\mathit \pi}^{+}}$ $-0.0233$ $\pm0.0017$ HANSTEIN 1998 IPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ $-0.015$ $\pm0.005$ 1 ARNDT 1997 IPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ $-0.0319$ $\pm0.0024$ DAVIDSON 1997 DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ • • We do not use the following data for averages, fits, limits, etc. • • $-0.022$ DRECHSEL 2007 DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ $-0.026$ PENNER 2002 D DPWA Multichannel $-0.0254$ $\pm0.0010$ HANSTEIN 1998 DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ $-0.025$ $\pm0.002$ $\pm0.002$ BECK 1997 IPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ $-0.030$ $\pm0.003$ $\pm0.002$ BLANPIED 1997 DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ , ${{\mathit \gamma}}{{\mathit N}}$ 1  This ARNDT 1997 value is very sensitive to the database being fitted. The result is from a fit to the full pion photoproduction database, apart from the BLANPIED 1997 cross-section measurements.

References:

DRECHSEL 2007 EPJ A34 69 Unitary Isobar Model $−$ MAID2007 AHRENS 2004A EPJ A21 323 Helicity Dependence of the ${{\mathit \gamma}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \pi}}$ Channels and Multipole Analysis in the ${{\mathit \Delta}}$ Region ARNDT 2002 PR C66 055213 Analysis of Pion Photoproduction Data PENNER 2002D PR C66 055212 Vector Meson Production and Nucleon Resonance Analysis in a Coupled Channel Approach for Energies ${\mathit m}_{{{\mathit N}}}$ $<$ $\sqrt {s }$ $<$ 2 GeV. 2. Photon Induced Results BLANPIED 2001 PR C64 025203 ${{\mathit N}}$ $\rightarrow$ ${{\mathit \Delta}}$ Transition and Proton Polarizabilities from Measurements of ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit \gamma}}$), ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit \pi}^{0}}$), and ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit \pi}^{+}}$) GALLER 2001 PL B503 245 Compton Scattering by the Proton BECK 2000 PR C61 035204 Determination of the $\mathit E2/\mathit M$1 Ratio in the ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}$ Transition from a Simultaneous Measurement of ${{\mathit p}}({{\mathit \gamma}}↑$, ${{\mathit p}}){{\mathit \pi}^{0}}$ and ${{\mathit p}}({{\mathit \gamma}}↑$, ${{\mathit \pi}^{+}}){{\mathit n}}$ HANSTEIN 1998 NP A632 561 Multipole Analysis of Pion Photoproduction Based on Fixed $\mathit t$ Dispersion Relations and Unitarity ARNDT 1997 PR C56 577 Pion Photoproduction in the ${{\mathit \Delta}}$ Resonance Region BECK 1997 PRL 78 606 Measurement of the $\mathit E2/\mathit M$1 Ratio in the ${{\mathit N}}$ $\rightarrow$ ${{\mathit \Delta}}$ Transition using the Reaction ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit p}}$) ${{\mathit \pi}^{0}}$ Also PRL 79 4510 Replay on BECK 1997 Measurement of the $\mathit E2/\mathit M$1 Ratio in the ${{\mathit N}}$ $\rightarrow$ ${{\mathit \Delta}}$ Transition using the Reaction ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit p}}$) ${{\mathit \pi}^{0}}$ Also PRL 79 4512 Measurement of the $\mathit E2/\mathit M$1 Ratio in the ${{\mathit N}}$ $\rightarrow$ ${{\mathit \Delta}}$ Transition using the Reaction ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit p}}$) ${{\mathit \pi}^{0}}$ Also PRL 79 4515 (erratum) Erratum: (BECK 1997 ) Measurement of the $\mathit E2/\mathit M$1 Ratio in the ${{\mathit N}}$ $\rightarrow$ ${{\mathit \Delta}}$ Transition using the Reaction ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit p}}$) ${{\mathit \pi}^{0}}$ BLANPIED 1997 PRL 79 4337 ${{\mathit n}}$ $\rightarrow$ ${{\mathit \Delta}}$ Transition from Simultaneous Measurements of ${{\mathit p}}$ (${{\mathit \gamma}}$, ${{\mathit \pi}}$) and ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit \gamma}}$) DAVIDSON 1997 PRL 79 4509 Mainz Measurement of the $\mathit E2/\mathit M$1 Ratio in the ${{\mathit N}}$ $−$ ${{\mathit \Delta}}$ Transition. (A Comment on the Letter by R.Beck $\mathit et~al$, PRL 78, 606 (BECK 1997 ))

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