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REAL PART
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$1830\text{ to }1900\text{ }(\approx1865) $ MeV
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$-2{\times }$IMAGINARY PART
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$180\text{ to }300\text{ }(\approx240) $ MeV
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MODULUS $\vert \mathit r\vert $
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$8\text{ to }14\text{ }(\approx11) $ MeV
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$
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${{\mathit \Delta}{(1900)}}$ BREIT-WIGNER MASS
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$1840\text{ to }1920\text{ }(\approx1860) $ MeV
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${{\mathit \Delta}{(1900)}}$ BREIT-WIGNER WIDTH
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$180\text{ to }320\text{ }(\approx250) $ MeV
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${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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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) |
$\Gamma_{1}$ | ${{\mathit N}}{{\mathit \pi}}$ | |
$4 - 12\%$
| | 685 |
| $\Gamma_{2}$ | ${{\mathit \Sigma}}{{\mathit K}}$ | |
seen
| | 367 |
| $\Gamma_{3}$ | ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ | |
$45 - 85\%$
| | 660 |
| $\Gamma_{4}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ | |
| | 509 |
| $\Gamma_{5}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$ | |
$30 - 70\%$
| | 509 |
| $\Gamma_{6}$ | ${{\mathit N}}{{\mathit \rho}}$ | |
| | 360 |
| $\Gamma_{7}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2, ${\mathit S}{\mathrm -wave}$ | |
$8 - 16\%$
| | 360 |
| $\Gamma_{8}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$ | |
$18 - 28\%$
| | 360 |
| $\Gamma_{9}$ | ${{\mathit N}{(1440)}}{{\mathit \pi}}$ | |
$8 - 32\%$
| | 353 |
| $\Gamma_{10}$ | ${{\mathit N}{(1520)}}{{\mathit \pi}}$ | |
$2 - 10\%$
| | 288 |
| $\Gamma_{11}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$ | |
$0 - 2\%$
| | 251 |
| $\Gamma_{12}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 | |
$0.06 - 0.43\%$
| | 693 |
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