${{\mathit \Delta}}$ 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:
B019

${{\mathit \Delta}{(1600)}}$

$I(J^P)$ = $3/2(3/2^{+})$ 
Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).
${{\mathit \Delta}{(1600)}}$ POLE POSITION
REAL PART   $1470\text{ to }1590\text{ }(\approx1520) $ MeV 
 
$-2{\times }$IMAGINARY PART   $150\text{ to }320\text{ }(\approx280) $ MeV 
 
${{\mathit \Delta}{(1600)}}$ ELASTIC POLE RESIDUE
MODULUS $\vert \mathit r\vert $   $10\text{ to }40\text{ }(\approx25) $ MeV 
 
PHASE $\theta $   $180\text{ to }250\text{ }(\approx210) $ $^\circ{}$ 
 
${{\mathit \Delta}{(1600)}}$ INELASTIC POLE RESIDUE
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1600)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1600)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1600)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
${{\mathit \Delta}{(1600)}}$ BREIT-WIGNER MASS   $1500\text{ to }1640\text{ }(\approx1570) $ MeV 
 
${{\mathit \Delta}{(1600)}}$ BREIT-WIGNER WIDTH   $200\text{ to }300\text{ }(\approx250) $ MeV 
 
${{\mathit \Delta}{(1600)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit \Delta}{(1600)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit \Delta}{(1600)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
${{\mathit \Delta}{(1600)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
${{\mathit \Delta}{(1600)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $-0.060\text{ to }-0.030\text{ }(\approx-0.045) $ GeV${}^{−1/2}$ 
 
${{\mathit \Delta}{(1600)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$   $-0.050\text{ to }-0.020\text{ }(\approx-0.035) $ GeV${}^{−1/2}$ 
 
The following branching fractions are our estimates, not fits or averages.
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $8 - 24\%$ 492
 
$\Gamma_{2}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   58$-84\%$ 454
 
$\Gamma_{3}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$   58$-82\%$ 276
 
$\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $72 - 82\%$ 276
 
$\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $<2\%$ 276
 
$\Gamma_{6}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$   $17 - 27\%$ -1
 
$\Gamma_{7}$ ${{\mathit N}}{{\mathit \gamma}}$   $0.001 - 0.035\%$ 505
 
$\Gamma_{8}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2   $0.0 - 0.02\%$ 505
 
$\Gamma_{9}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2   $0.001 - 0.015\%$ 505
 
FOOTNOTES