${{\mathit \Delta}}$ 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   JSON  (beta) PDGID:
B013

${{\mathit \Delta}{(1930)}}$

$I(J^P)$ = $3/2(5/2^{-})$ 
Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).
${{\mathit \Delta}{(1930)}}$ POLE POSITION
REAL PART   $1820\text{ to }1880\text{ }(\approx1850) $ MeV 
 
$-2{\times }$IMAGINARY PART   $300\text{ to }450\text{ }(\approx320) $ MeV 
 
${{\mathit \Delta}{(1930)}}$ ELASTIC POLE RESIDUE
MODULUS $\vert \mathit r\vert $   $8\text{ to }20\text{ }(\approx14) $ MeV 
 
PHASE $\theta $   $-100\text{ to }-10\text{ }(\approx-50) $ $^\circ{}$ 
 
${{\mathit \Delta}{(1930)}}$ INELASTIC POLE RESIDUE
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1930)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$   $0.010 \pm0.001$  
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1930)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $0.12 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1930)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit G}{\mathrm -wave}$   $0.008 \pm0.001$  
 
${{\mathit \Delta}{(1930)}}$ BREIT-WIGNER MASS   $1900\text{ to }2000\text{ }(\approx1950) $ MeV 
 
${{\mathit \Delta}{(1930)}}$ BREIT-WIGNER WIDTH   $200\text{ to }400\text{ }(\approx300) $ MeV 
 
${{\mathit \Delta}{(1930)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit \Delta}{(1930)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit \Delta}{(1930)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
${{\mathit \Delta}{(1930)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
${{\mathit \Delta}{(1930)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit \Delta}{(1930)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
The following branching fractions are our estimates, not fits or averages.
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $5 - 15\%$ 742
 
$\Gamma_{2}$ ${{\mathit N}}{{\mathit \gamma}}$   $0.0 - 0.01\%$ 749
 
$\Gamma_{3}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2   $0.0 - 0.005\%$ 749
 
$\Gamma_{4}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2   $0.0 - 0.004\%$ 749
 
FOOTNOTES