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REAL PART
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$1770\text{ to }1830\text{ }(\approx1800) $ MeV
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$-2{\times }$IMAGINARY PART
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$260\text{ to }340\text{ }(\approx300) $ MeV
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MODULUS $\vert \mathit r\vert $
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$15\text{ to }25\text{ }(\approx20) $ MeV
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PHASE $\theta $
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$-120\text{ to }-30\text{ }(\approx-50) $ $^\circ{}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$
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${{\mathit \Delta}{(1905)}}$ BREIT-WIGNER MASS
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$1855\text{ to }1910\text{ }(\approx1880) $ MeV
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${{\mathit \Delta}{(1905)}}$ BREIT-WIGNER WIDTH
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$270\text{ to }400\text{ }(\approx330) $ MeV
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${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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$0.017\text{ to }0.027\text{ }(\approx0.022) $ GeV${}^{−1/2}$
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${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
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$-0.055\text{ to }-0.035\text{ }(\approx-0.045) $ 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) |
$\Gamma_{1}$ | ${{\mathit N}}{{\mathit \pi}}$ | |
$9 - 15\%$
| | 698 |
| $\Gamma_{2}$ | ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ | |
| | 673 |
| $\Gamma_{3}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ | |
$80 - 100\%$
| | 524 |
| $\Gamma_{4}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ | |
$23 - 43\%$
| | 524 |
| $\Gamma_{5}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$ | |
$56 - 72\%$
| | 524 |
| $\Gamma_{6}$ | ${{\mathit N}}{{\mathit \rho}}$ | |
| | 385 |
| $\Gamma_{7}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit P}{\mathrm -wave}$ | |
seen
| | 385 |
| $\Gamma_{8}$ | ${{\mathit N}{(1535)}}{{\mathit \pi}}$ | |
$<$ 1$\%$
| | 293 |
| $\Gamma_{9}$ | ${{\mathit N}{(1680)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ | |
$5 - 15\%$
| | 133 |
| $\Gamma_{10}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$ | |
$2 - 6\%$
| | 282 |
| $\Gamma_{11}$ | ${{\mathit N}}{{\mathit \gamma}}$ | |
$0.012 - 0.036\%$
| | 706 |
| $\Gamma_{12}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 | |
$0.002 - 0.006\%$
| | 706 |
| $\Gamma_{13}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2 | |
$0.01 - 0.03\%$
| | 706 |
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