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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$8\text{ to }24\text{ }(\approx16) $ 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 |
| $\Gamma_{3}$ | ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ | | | | 699 |
| $\Gamma_{4}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ | | $50 - 90\%$ | | 553 |
| $\Gamma_{5}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ | | $8 - 28\%$ | | 553 |
| $\Gamma_{6}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$ | | $44 - 72\%$ | | 553 |
| $\Gamma_{7}$ | ${{\mathit N}{(1440)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ | | $<4\%$ | | 403 |
| $\Gamma_{8}$ | ${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$ | | $<5\%$ | | 341 |
| $\Gamma_{9}$ | ${{\mathit N}{(1535)}}{{\mathit \pi}}$ | | $<2\%$ | | 328 |
| $\Gamma_{10}$ | ${{\mathit N}}{{\mathit a}_{{0}}{(980)}}$ | | seen | | 41 |
| $\Gamma_{11}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$ | | $5 - 17\%$ | | 336 |
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