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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: B083

${{\mathit \Delta}{(1950)}}$ $I(J^P)$ = $3/2(7/2^{+})$

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

${{\mathit \Delta}{(1950)}}$ POLE POSITION

REAL PART   $1870\text{ to }1890\text{ }(\approx1880) $ MeV

$-2{\times }$IMAGINARY PART   $220\text{ to }260\text{ }(\approx240) $ MeV

${{\mathit \Delta}{(1950)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $   $44\text{ to }60\text{ }(\approx52) $ MeV

PHASE $\theta $   $-40\text{ to }-24\text{ }(\approx-32) $ $^\circ{}$

${{\mathit \Delta}{(1950)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit H}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$

${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER MASS   $1915\text{ to }1950\text{ }(\approx1930) $ MeV

${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER WIDTH   $235\text{ to }335\text{ }(\approx285) $ MeV

${{\mathit \Delta}{(1950)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $-0.075\text{ to }-0.065\text{ }(\approx-0.070) $ GeV${}^{−1/2}$

${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$   $-0.100\text{ to }-0.080\text{ }(\approx-0.090) $ 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)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $35 - 45$ $\%$ 729   $\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit K}}$   $0.3 - 0.5$ $\%$ 441   $\Gamma_{3}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $37 - 77$ $\%$ 706   $\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $1 - 9$ $\%$ 560   $\Gamma_{5}$ ${{\mathit N}{(1680)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $3 - 9$ $\%$ 191   $\Gamma_{6}$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$   $<$ 0.6 $\%$ 349   $\Gamma_{7}$ ${{\mathit N}}{{\mathit \gamma}}$   $0.06 - 0.14$ $\%$ 737   $\Gamma_{8}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2   $0.03 - 0.05$ $\%$ 737   $\Gamma_{9}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2   $0.04 - 0.09$ $\%$ 737
FOOTNOTES