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${{\mathit \Delta}}$ 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: B010

${{\mathit \Delta}{(1700)}}$ $I(J^P)$ = $3/2(3/2^{-})$

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

${{\mathit \Delta}{(1700)}}$ POLE POSITION

REAL PART   $1640\text{ to }1690\text{ }(\approx1665) $ MeV

$-2{\times }$IMAGINARY PART   $200\text{ to }300\text{ }(\approx250) $ MeV

${{\mathit \Delta}{(1700)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $   $10\text{ to }40\text{ }(\approx25) $ MeV

PHASE $\theta $   $-40\text{ to }0\text{ }(\approx-20) $ $^\circ{}$

${{\mathit \Delta}{(1700)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \eta}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1700)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$   $0.007 \pm0.008$

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

${{\mathit \Delta}{(1700)}}$ 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$_{3/2}$

${{\mathit \Delta}{(1700)}}$ 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${}^{−1/2}$

Decay Modes
The following branching fractions are our estimates, not fits or averages.
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   10$-20\%$ 588   $\Gamma_{2}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $>31\%$ 557   $\Gamma_{3}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$   9$-70\%$ 394   $\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$   $5 - 54\%$ 394   $\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $4 - 16\%$ 394   $\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit S}{\mathrm -wave}$   $22 - 32\%$ -1   $\Gamma_{7}$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $1 - 5\%$ 133   $\Gamma_{8}$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$   $0.5 - 1.5\%$ 113   $\Gamma_{9}$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$   $3 - 7\%$ -1   $\Gamma_{10}$ ${{\mathit N}}{{\mathit \gamma}}$   $0.22 - 0.60\%$ 598   $\Gamma_{11}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2   $0.12 - 0.30\%$ 598   $\Gamma_{12}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2   $0.10 - 0.30\%$ 598
FOOTNOTES