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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: B136

${{\mathit \Delta}{(1940)}}$ $I(J^P)$ = $3/2(3/2^{-})$

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▸  exp ${{\mathit \Delta}{(1940)}}$ POLE POSITION

REAL PART 1850 TO 2050 $(\approx 1950 )$ MeV

$-2{\times }$IMAGINARY PART 200 TO 500 $(\approx 350 )$ MeV

▸  exp ${{\mathit \Delta}{(1940)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $ 4 TO 10 $(\approx 7 )$ MeV

PHASE $\theta $ 150 TO 250 $(\approx 200 )$ $^\circ{}$

▸  exp ${{\mathit \Delta}{(1940)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$, ${\mathit S}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$, ${\mathit D}{\mathrm -wave}$

${{\mathit \Delta}{(1940)}}$ BREIT-WIGNER MASS 1940 TO 2060 $(\approx 2000 )$ MeV

${{\mathit \Delta}{(1940)}}$ BREIT-WIGNER WIDTH 300 TO 500 $(\approx 400 )$ MeV

▸  exp ${{\mathit \Delta}{(1940)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

▸  exp ${{\mathit \Delta}{(1940)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

${{\mathit \Delta}{(1940)}}$ DECAY MODES

Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$ $(1 - 20) \%$ 773   $\Gamma_{2}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ >81 $\%$ 751   $\Gamma_{3}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ $(6 - 85) \%$ 610   $\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$ $(1 - 65) \%$ 610   $\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$ $(5 - 20) \%$ 610   $\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2 , ${\mathit S}{\mathrm -wave}$ $(75 - 85) \%$ 514   $\Gamma_{7}$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$ $(2 - 14) \%$ 397   $\Gamma_{8}$ ${{\mathit N}}{{\mathit a}_{{{0}}}{(980)}}$ seen 283   $\Gamma_{9}$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$ $(4 - 16) \%$ 429   $\Gamma_{10}$ ${{\mathit N}}{{\mathit \gamma}}$ $(0.06 - 2.53) \%$ 780   $\Gamma_{11}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 $(0.06 - 1.51) \%$ 780   $\Gamma_{12}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2 $(0 - 1.02) \%$ 780