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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: B012

${{\mathit \Delta}{(1910)}}$ $I(J^P)$ = $3/2(1/2^{+})$

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

${{\mathit \Delta}{(1910)}}$ POLE POSITION

REAL PART   $1800\text{ to }1900\text{ }(\approx1850) $ MeV

$-2{\times }$IMAGINARY PART   $200\text{ to }500\text{ }(\approx350) $ MeV

${{\mathit \Delta}{(1910)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $   $20\text{ to }30\text{ }(\approx25) $ MeV

PHASE $\theta $   $-180\text{ to }90\text{ }(\approx-90) $ $^\circ{}$

${{\mathit \Delta}{(1910)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1910)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1910)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1910)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1910)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$

${{\mathit \Delta}{(1910)}}$ BREIT-WIGNER MASS   $1850\text{ to }1950\text{ }(\approx1900) $ MeV

${{\mathit \Delta}{(1910)}}$ BREIT-WIGNER WIDTH   $200\text{ to }400\text{ }(\approx300) $ MeV

${{\mathit \Delta}{(1910)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit \Delta}{(1910)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1910)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit \Delta}{(1910)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $0.010\text{ to }0.030\text{ }(\approx0.020) $ 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)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $10 - 30\%$ 710   $\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit K}}$   $4 - 14\%$ 410   $\Gamma_{3}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$   $34 - 66\%$ 539   $\Gamma_{4}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$   $3 - 45\%$ 386   $\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$   $5 - 13\%$ 310   $\Gamma_{6}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2   $0.0 - 0.02\%$ 718
FOOTNOTES