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

${{\mathit \Delta}{(1620)}}$

$I(J^P)$ = $3/2(1/2^{-})$ 
Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).
${{\mathit \Delta}{(1620)}}$ POLE POSITION
REAL PART   $1590\text{ to }1610\text{ }(\approx1600) $ MeV 
$-2{\times }$IMAGINARY PART   $100\text{ to }140\text{ }(\approx120) $ MeV 
${{\mathit \Delta}{(1620)}}$ ELASTIC POLE RESIDUE
MODULUS $\vert \mathit r\vert $   $15\text{ to }20\text{ }(\approx17) $ MeV 
PHASE $\theta $   $-120\text{ to }-80\text{ }(\approx-100) $ $^\circ{}$ 
${{\mathit \Delta}{(1620)}}$ INELASTIC POLE RESIDUE
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$
${{\mathit \Delta}{(1620)}}$ BREIT-WIGNER MASS   $1590\text{ to }1630\text{ }(\approx1610) $ MeV 
${{\mathit \Delta}{(1620)}}$ BREIT-WIGNER WIDTH   $110\text{ to }150\text{ }(\approx130) $ MeV 
${{\mathit \Delta}{(1620)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $0.030\text{ to }0.060\text{ }(\approx0.050) $ GeV${}^{−1/2}$ 
The following branching fractions are our estimates, not fits or averages.
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $25 - 35\%$ 520
$\Gamma_{2}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $>67\%$ 484
$\Gamma_{3}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   44$-72\%$ 311
$\Gamma_{4}$ ${{\mathit N}}{{\mathit \rho}}$   $23 - 32\%$ -1
$\Gamma_{5}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2, ${\mathit S}{\mathrm -wave}$   $23 - 32\%$ -1
$\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$   $<0.04\%$ -1
$\Gamma_{7}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$   $<9\%$ 98
$\Gamma_{8}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2   $0.03 - 0.10\%$ 532