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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).

${{\mathit \Delta}{(1232)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

INSPIRE  

VALUE (GeV${}^{−1/2}$) DOCUMENT ID TECN  COMMENT $\bf{ -0.262\text{ to }-0.248\text{ }(\approx-0.255) }$ OUR ESTIMATE $-0.250$ $\pm0.002$ 1 HUNT 2019 DPWA Multichannel $-0.254$ $\pm0.005$ ANISOVICH 2012 A DPWA Multichannel $-0.262$ $\pm0.003$ WORKMAN 2012 A DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \pi}}$ $-0.258$ $\pm0.005$ DUGGER 2007 DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ $-0.256$ $\pm0.003$ AHRENS 2004 A DPWA $\vec\gamma\vec {{\mathit p}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \pi}}$ $-0.2669$ $\pm0.0016$ $\pm0.0078$ BLANPIED 2001 LEGS ${{\mathit \gamma}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , ${{\mathit p}}{{\mathit \pi}^{0}}$ , ${{\mathit n}}{{\mathit \pi}^{+}}$ $-0.251$ $\pm0.001$ BECK 2000 IPWA $\vec\gamma$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \pi}^{0}}$ , ${{\mathit n}}{{\mathit \pi}^{+}}$ $-0.258$ $\pm0.006$ KAMALOV 1999 DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ $-0.2466$ $\pm0.0013$ HANSTEIN 1998 IPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ $-0.2524$ $\pm0.0013$ DAVIDSON 1997 DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ • • We do not use the following data for averages, fits, limits, etc. • • $-0.251$ $\pm0.001$ 1 SHRESTHA 2012 A DPWA Multichannel $-0.267$ $\pm0.008$ ANISOVICH 2010 DPWA Multichannel $-0.265$ DRECHSEL 2007 DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ $-0.243$ $\pm0.001$ ARNDT 2002 DPWA ${{\mathit \gamma}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \pi}}$ $-0.247$ PENNER 2002 D DPWA Multichannel $-0.2522$ HANSTEIN 1998 DPWA ${{\mathit \gamma}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit N}}$ 1  Statistical error only.

References:

HUNT 2019 PR C99 055205 Updated determination of $N^*$ resonance parameters using a unitary, multichannel formalism ANISOVICH 2012A EPJ A48 15 Properties of Baryon Resonances from a Multichannel Partial Wave Analysis SHRESTHA 2012A PR C86 055203 Multichannel Parametrization of ${{\mathit \pi}}{{\mathit N}}$ Scattering Amplitudes and Extraction of Resonance Parameters WORKMAN 2012A PR C86 015202 Unified Chew-Mandelstam SAID Analysis of Pion Photoproduction Data ANISOVICH 2010 EPJ A44 203 Photoproduction of Pions and Properties of Baryon Resonances from a Bonn-Gatchina Partial-Wave Analysis DRECHSEL 2007 EPJ A34 69 Unitary Isobar Model $−$ MAID2007 DUGGER 2007 PR C76 025211 ${{\mathit \pi}^{0}}$ Photoproduction on the Proton for Photon Energies from 0.675 to 2.875 GeV 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 ${{\mathit p}}$ (${{\mathit \gamma}}$ $↑$, ${{\mathit \pi}^{+}}$ ) 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 ${{\mathit p}}$ (${{\mathit \gamma}}$ $↑$, ${{\mathit \pi}^{+}}$ )${{\mathit n}}$ KAMALOV 1999 PRL 83 4494 Pion Cloud and the $\mathit Q{}^{2}$ Dependence of ${{\mathit \gamma}^{*}}{{\mathit N}}$ $\leftrightarrow$ ${{\mathit \Delta}}$ Transition Form Factors HANSTEIN 1998 NP A632 561 Multipole Analysis of Pion Photoproduction Based on Fixed $\mathit t$ Dispersion Relations and Unitarity 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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