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REAL PART
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$1640\text{ to }1690\text{ }(\approx1665) $ MeV
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$-2{\times }$IMAGINARY PART
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$200\text{ to }300\text{ }(\approx250) $ MeV
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MODULUS $\vert \mathit r\vert $
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$10\text{ to }40\text{ }(\approx25) $ MeV
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PHASE $\theta $
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$-40\text{ to }0\text{ }(\approx-20) $ $^\circ{}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \eta}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$
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${{\mathit \Delta}{(1700)}}$ BREIT-WIGNER MASS
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$1690\text{ to }1730\text{ }(\approx1710) $ MeV
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${{\mathit \Delta}{(1700)}}$ BREIT-WIGNER WIDTH
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$220\text{ to }380\text{ }(\approx300) $ MeV
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${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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$0.100\text{ to }0.160\text{ }(\approx0.130) $ GeV${}^{−1/2}$
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${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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$0.090\text{ to }0.170\text{ }(\approx0.130) $ 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) |
$\Gamma_{1}$ | ${{\mathit N}}{{\mathit \pi}}$ | |
10$-20\%$
| | 588 |
| $\Gamma_{2}$ | ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ | |
10$-55\%$
| | 557 |
| $\Gamma_{3}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ | |
10$-50\%$
| | 394 |
| $\Gamma_{4}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$ | |
$5 - 35\%$
| | 394 |
| $\Gamma_{5}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$ | |
$4 - 16\%$
| | 394 |
| $\Gamma_{6}$ | ${{\mathit N}}{{\mathit \rho}}$ | |
| | -1 |
| $\Gamma_{7}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit S}{\mathrm -wave}$ | |
seen
| | -1 |
| $\Gamma_{8}$ | ${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ | |
$1 - 5\%$
| | 133 |
| $\Gamma_{9}$ | ${{\mathit N}{(1535)}}{{\mathit \pi}}$ | |
$0.5 - 1.5\%$
| | 113 |
| $\Gamma_{10}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$ | |
$3 - 7\%$
| | -1 |
| $\Gamma_{11}$ | ${{\mathit N}}{{\mathit \gamma}}$ | |
$0.22 - 0.60\%$
| | 598 |
| $\Gamma_{12}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 | |
$0.12 - 0.30\%$
| | 598 |
| $\Gamma_{13}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2 | |
$0.10 - 0.30\%$
| | 598 |
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