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REAL PART
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$1850\text{ to }2050\text{ }(\approx1950) $ MeV
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$-2{\times }$IMAGINARY PART
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$200\text{ to }500\text{ }(\approx350) $ MeV
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MODULUS $\vert \mathit r\vert $
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$4\text{ to }10\text{ }(\approx7) $ MeV
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PHASE $\theta $
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$150\text{ to }250\text{ }(\approx200) $ $^\circ{}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$
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${{\mathit \Delta}{(1940)}}$ BREIT-WIGNER MASS
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$1940\text{ to }2060\text{ }(\approx2000) $ MeV
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${{\mathit \Delta}{(1940)}}$ BREIT-WIGNER WIDTH
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$300\text{ to }500\text{ }(\approx400) $ MeV
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${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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Mode |
Fraction ($\Gamma_i$ / $\Gamma$) |
Scale Factor/ Conf. Level |
P (MeV/c) |
$\Gamma_{1}$ | ${{\mathit N}}{{\mathit \pi}}$ | |
$1 - 7\%$
| | 773 |
| $\Gamma_{2}$ | ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ | |
| | 751 |
| $\Gamma_{3}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ | |
$30 - 85\%$
| | 610 |
| $\Gamma_{4}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$ | |
$25 - 65\%$
| | 610 |
| $\Gamma_{5}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$ | |
$5 - 20\%$
| | 610 |
| $\Gamma_{6}$ | ${{\mathit N}}{{\mathit \rho}}$ | |
| | 514 |
| $\Gamma_{7}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2 , ${\mathit S}{\mathrm -wave}$ | |
| | 514 |
| $\Gamma_{8}$ | ${{\mathit N}{(1535)}}{{\mathit \pi}}$ | |
$2 - 14\%$
| | 397 |
| $\Gamma_{9}$ | ${{\mathit N}}{{\mathit a}_{{0}}{(980)}}$ | |
seen
| | 283 |
| $\Gamma_{10}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$ | |
$4 - 16\%$
| | 429 |
| $\Gamma_{11}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 | |
seen
| | 780 |
| $\Gamma_{12}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2 | |
seen
| | 780 |
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