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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 PDGID: B011

${{\mathit \Delta}{(1905)}}$ $I(J^P)$ = $3/2(5/2^{+})$

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

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▸  exp ${{\mathit \Delta}{(1905)}}$ POLE POSITION

REAL PART 1750 TO 1800 $(\approx 1770 )$ MeV

$-2{\times }$IMAGINARY PART 260 TO 340 $(\approx 300 )$ MeV

▸  exp ${{\mathit \Delta}{(1905)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $ 15 TO 25 $(\approx 20 )$ MeV

PHASE $\theta $ -120 TO -30 $(\approx -45 )$ $^\circ{}$

▸  exp ${{\mathit \Delta}{(1905)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit P}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit F}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$

${{\mathit \Delta}{(1905)}}$ BREIT-WIGNER MASS 1855 TO 1910 $(\approx 1880 )$ MeV

${{\mathit \Delta}{(1905)}}$ BREIT-WIGNER WIDTH 270 TO 400 $(\approx 330 )$ MeV

▸  exp ${{\mathit \Delta}{(1905)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

▸  exp ${{\mathit \Delta}{(1905)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$ 0.017 TO 0.027 $(\approx 0.022 )$ GeV${}^{−1/2}$

${{\mathit \Delta}{(1905)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$ -0.055 TO -0.035 $(\approx -0.045 )$ GeV${}^{−1/2}$

${{\mathit \Delta}{(1905)}}$ 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)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$ $(9 - 15) \%$ 698   $\Gamma_{2}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ >65 $\%$ 673   $\Gamma_{3}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ >48 $\%$ 524   $\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ $(8 - 43) \%$ 524   $\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$ $(40 - 58) \%$ 524   $\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit P}{\mathrm -wave}$ $(17 - 35) \%$ 385   $\Gamma_{7}$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$ < 1 $\%$ 293   $\Gamma_{8}$ ${{\mathit N}{(1680)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ $(5 - 15) \%$ 133   $\Gamma_{9}$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$ $(2 - 6) \%$ 282   $\Gamma_{10}$ ${{\mathit N}}{{\mathit \gamma}}$ $(0.012 - 0.036) \%$ 706   $\Gamma_{11}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 $(0.002 - 0.006) \%$ 706   $\Gamma_{12}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2 $(0.01 - 0.03) \%$ 706