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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

${{\mathit \Delta}{(2200)}}$ $I(J^P)$ = $3/2(7/2^{-})$

${{\mathit \Delta}{(2200)}}$ POLE POSITION

REAL PART   $2050\text{ to }2150\text{ }(\approx2100) $ MeV

$-2{\times }$IMAGINARY PART   $260\text{ to }420\text{ }(\approx340) $ MeV

${{\mathit \Delta}{(2200)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $

PHASE $\theta $

${{\mathit \Delta}{(2200)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(2200)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(2200)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(2200)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit G}{\mathrm -wave}$

${{\mathit \Delta}{(2200)}}$ BREIT-WIGNER MASS   $2150\text{ to }2250\text{ }(\approx2200) $ MeV

${{\mathit \Delta}{(2200)}}$ BREIT-WIGNER WIDTH   $200\text{ to }500\text{ }(\approx350) $ MeV

${{\mathit \Delta}{(2200)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit \Delta}{(2200)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(2200)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

${{\mathit \Delta}{(2200)}}$ Decay Modes
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $2 - 8$ $\%$ 894   $\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit K}}$   $1 - 7$ $\%$ 672   $\Gamma_{3}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $>$45 $\%$ 876   $\Gamma_{4}$ ${{\mathit \Delta}}{{\mathit \pi}}$   $>$45 $\%$ 747   $\Gamma_{5}$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $>$40 $\%$ 747   $\Gamma_{6}$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit G}{\mathrm -wave}$   $5 - 25$ $\%$ 747   $\Gamma_{7}$ ${{\mathit \Delta}}{{\mathit \eta}}$   614   $\Gamma_{8}$ ${{\mathit \Delta}}{{\mathit \eta}}$ , ${\mathit D}{\mathrm -wave}$   seen 614
FOOTNOTES