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

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

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

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

$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${}^{−1/2}$

Decay Modes

The following branching fractions are our estimates, not fits or averages.

${{\mathit N}}{{\mathit \pi}}$

${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$

${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$

${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$

${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

${{\mathit N}}{{\mathit \rho}}$

${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit S}{\mathrm -wave}$

${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$

${{\mathit N}{(1535)}}{{\mathit \pi}}$

${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$

${{\mathit N}}{{\mathit \gamma}}$

$0.22 - 0.60\%$

${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2

$0.12 - 0.30\%$

${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2

$0.10 - 0.30\%$