${{\mathit \Delta}}$ 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

${{\boldsymbol \Delta}{(1700)}}$

$I(J^P)$ = $3/2(3/2^{-})$ 
Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).
${{\boldsymbol \Delta}{(1700)}}$ POLE POSITION
REAL PART   $1640\text{ to }1690\text{ }(\approx1665) $ MeV 
 
$-2{\times }$IMAGINARY PART   $200\text{ to }300\text{ }(\approx250) $ MeV 
 
${{\boldsymbol \Delta}{(1700)}}$ ELASTIC POLE RESIDUE
MODULUS $\vert \mathit r\vert $   $10\text{ to }40\text{ }(\approx25) $ MeV 
 
PHASE $\theta $   $-40\text{ to }0\text{ }(\approx-20) $ $^\circ{}$ 
 
${{\boldsymbol \Delta}{(1700)}}$ INELASTIC POLE RESIDUE
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \eta}}$
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$
 
${{\mathit \Delta}{(1700)}}$ BREIT-WIGNER MASS   $1690\text{ to }1730\text{ }(\approx1710) $ MeV 
 
${{\mathit \Delta}{(1700)}}$ BREIT-WIGNER WIDTH   $220\text{ to }380\text{ }(\approx300) $ MeV 
 
${{\boldsymbol \Delta}{(1700)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
 
${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
 
${{\boldsymbol \Delta}{(1700)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $0.100\text{ to }0.160\text{ }(\approx0.130) $ GeV${}^{−1/2}$ 
 
${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$   $0.090\text{ to }0.170\text{ }(\approx0.130) $ GeV${}^{−1/2}$ 
 
The following branching fractions are our estimates, not fits or averages.
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$  10$-20\%$ 588
 
$\Gamma_{2}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$  10$-55\%$ 557
 
$\Gamma_{3}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$  10$-50\%$ 394
 
$\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$  $5 - 35\%$ 394
 
$\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$  $4 - 16\%$ 394
 
$\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$  -1
 
$\Gamma_{7}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit S}{\mathrm -wave}$  seen -1
 
$\Gamma_{8}$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$  $1 - 5\%$ 133
 
$\Gamma_{9}$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$  $0.5 - 1.5\%$ 113
 
$\Gamma_{10}$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$  $3 - 7\%$ -1
 
$\Gamma_{11}$ ${{\mathit N}}{{\mathit \gamma}}$  $0.22 - 0.60\%$ 598
 
$\Gamma_{12}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2  $0.12 - 0.30\%$ 598
 
$\Gamma_{13}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2  $0.10 - 0.30\%$ 598
 
FOOTNOTES