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REAL PART
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$1870\text{ to }1890\text{ }(\approx1880) $ MeV
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$-2{\times }$IMAGINARY PART
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$220\text{ to }260\text{ }(\approx240) $ MeV
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MODULUS $\vert \mathit r\vert $
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$44\text{ to }60\text{ }(\approx52) $ MeV
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PHASE $\theta $
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$-40\text{ to }-24\text{ }(\approx-32) $ $^\circ{}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit F}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit H}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$
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${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER MASS
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$1915\text{ to }1950\text{ }(\approx1930) $ MeV
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${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER WIDTH
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$235\text{ to }335\text{ }(\approx285) $ MeV
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${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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$-0.075\text{ to }-0.065\text{ }(\approx-0.070) $ GeV${}^{−1/2}$
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${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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$-0.100\text{ to }-0.080\text{ }(\approx-0.090) $ GeV${}^{−1/2}$
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The following branching fractions are our estimates, not fits or averages.
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| Mode |
Fraction ($\Gamma_i$ / $\Gamma$) |
Scale Factor/ Conf. Level |
P (MeV/c) |
| $\Gamma_{1}$ | ${{\mathit N}}{{\mathit \pi}}$ | |
$35 - 45$ $\%$
| | 729 |
| | $\Gamma_{2}$ | ${{\mathit \Sigma}}{{\mathit K}}$ | |
$0.3 - 0.5$ $\%$
| | 441 |
| | $\Gamma_{3}$ | ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ | |
$37 - 77$ $\%$
| | 706 |
| | $\Gamma_{4}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ | |
$(4.0\pm{3.0})\%$
| | 560 |
| | $\Gamma_{5}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$ | |
$1 - 9$ $\%$
| | 560 |
| | $\Gamma_{6}$ | ${{\mathit N}}{{\mathit \rho}}$ | |
$(10\pm{5})\%$
| | 443 |
| | $\Gamma_{7}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2 | |
$(10\pm{5})\%$
| | 443 |
| | $\Gamma_{8}$ | ${{\mathit N}{(1680)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ | |
$3 - 9$ $\%$
| | 191 |
| | $\Gamma_{9}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$ | |
$<$ 0.6 $\%$
| | 349 |
| | $\Gamma_{10}$ | ${{\mathit N}}{{\mathit \gamma}}$ | |
$0.06 - 0.14$ $\%$
| | 737 |
| | $\Gamma_{11}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 | |
$0.03 - 0.05$ $\%$
| | 737 |
| | $\Gamma_{12}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2 | |
$0.04 - 0.09$ $\%$
| | 737 |
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