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REAL PART
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$1850\text{ to }1950\text{ }(\approx1900) $ MeV
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$-2{\times }$IMAGINARY PART
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$200\text{ to }400\text{ }(\approx300) $ MeV
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MODULUS $\vert \mathit r\vert $
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$15\text{ to }35\text{ }(\approx25) $ MeV
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PHASE $\theta $
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$-150\text{ to }-50\text{ }(\approx-100) $ $^\circ{}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \eta}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit P}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit F}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit a}_{{{0}}}{(980)}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$, ${\mathit S}{\mathrm -wave}$
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${{\mathit \Delta}{(1920)}}$ BREIT-WIGNER MASS
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$1870\text{ to }1970\text{ }(\approx1920) $ MeV
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${{\mathit \Delta}{(1920)}}$ BREIT-WIGNER WIDTH
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$240\text{ to }360\text{ }(\approx300) $ MeV
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${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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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) |
| $\Gamma_{1}$ | ${{\mathit N}}{{\mathit \pi}}$ | |
$5 - 20$ $\%$
| | 723 |
| | $\Gamma_{2}$ | ${{\mathit \Sigma}}{{\mathit K}}$ | |
$2 - 6$ $\%$
| | 431 |
| | $\Gamma_{3}$ | ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ | |
$>$46 $\%$
| | 699 |
| | $\Gamma_{4}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ | |
$(38\pm{15})\%$
| | 553 |
| | $\Gamma_{5}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ | |
$2 - 28$ $\%$
| | 553 |
| | $\Gamma_{6}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$ | |
$44 - 72$ $\%$
| | 553 |
| | $\Gamma_{7}$ | ${{\mathit N}}{{\mathit \rho}}$ | |
$(57\pm{8})\%$
| | 432 |
| | $\Gamma_{8}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2 | |
$(8\pm{4})\%$
| | 432 |
| | $\Gamma_{9}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2 , ${\mathit P}{\mathrm -wave}$ | |
$(14\pm{5})\%$
| | 432 |
| | $\Gamma_{10}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2 , ${\mathit F}{\mathrm -wave}$ | |
$(35\pm{6})\%$
| | 432 |
| | $\Gamma_{11}$ | ${{\mathit N}{(1440)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ | |
$4 - 86$ $\%$
| | 403 |
| | $\Gamma_{12}$ | ${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$ | |
$<5\%$
| | 341 |
| | $\Gamma_{13}$ | ${{\mathit N}{(1535)}}{{\mathit \pi}}$ | |
$<2\%$
| | 328 |
| | $\Gamma_{14}$ | ${{\mathit N}}{{\mathit a}_{{{0}}}{(980)}}$ | |
seen
| | 41 |
| | $\Gamma_{15}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$ | |
$5 - 17$ $\%$
| | 336 |
| | $\Gamma_{16}$ | ${{\mathit N}}{{\mathit \gamma}}$ | |
$0.01 - 0.84$ $\%$
| | 731 |
| | $\Gamma_{17}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 | |
$0.0 - 0.42$ $\%$
| | 731 |
| | $\Gamma_{18}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2 | |
$0.01 - 0.42$ $\%$
| | 731 |
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