${{\mathit \Delta}}$ BARYONS
($\mathit S$ = 0, $\mathit I$ = 3/2)
${{\mathit \Delta}^{++}}$ = ${{\mathit u}}{{\mathit u}}{{\mathit u}}$ , ${{\mathit \Delta}^{+}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$, ${{\mathit \Delta}^{0}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$, ${{\mathit \Delta}^{-}}$ = ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$ 		INSPIRE search

${{\boldsymbol \Delta}{(1950)}}$

$I(J^P)$ = $3/2(7/2^{+})$ 
Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).
${{\boldsymbol \Delta}{(1950)}}$ POLE POSITION
REAL PART   $1870\text{ to }1890\text{ }(\approx1880) $ MeV 
 
$-2{\times }$IMAGINARY PART   $220\text{ to }260\text{ }(\approx240) $ MeV 
 
${{\boldsymbol \Delta}{(1950)}}$ ELASTIC POLE RESIDUE
MODULUS $\vert \mathit r\vert $   $44\text{ to }60\text{ }(\approx52) $ MeV 
 
PHASE $\theta $   $-40\text{ to }-24\text{ }(\approx-32) $ $^\circ{}$ 
 
${{\boldsymbol \Delta}{(1950)}}$ INELASTIC POLE RESIDUE
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit H}{\mathrm -wave}$
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$
 
${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER MASS   $1915\text{ to }1950\text{ }(\approx1930) $ MeV 
 
${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER WIDTH   $235\text{ to }335\text{ }(\approx285) $ MeV 
 
${{\boldsymbol \Delta}{(1950)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
 
${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
 
${{\boldsymbol \Delta}{(1950)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $-0.075\text{ to }-0.065\text{ }(\approx-0.070) $ GeV${}^{−1/2}$ 
 
${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$   $-0.100\text{ to }-0.080\text{ }(\approx-0.090) $ GeV${}^{−1/2}$ 
 
The following branching fractions are our estimates, not fits or averages.
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$  $35 - 45\%$ 729
 
$\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit K}}$  $0.3 - 0.5\%$ 441
 
$\Gamma_{3}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$  706
 
$\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$  $1 - 9\%$ 560
 
$\Gamma_{5}$ ${{\mathit N}{(1680)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$  $3 - 9\%$ 191
 
$\Gamma_{6}$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$  $<$ 0.6$\%$ 349
 
FOOTNOTES