${{\mathit \Delta}}$ BARYONS($\mathit S$ = 0, $\mathit I$ = 3/2) ${{\mathit \Delta}^{++}}$ = ${{\mathit u}}{{\mathit u}}{{\mathit u}}$ , ${{\mathit \Delta}^{+}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$, ${{\mathit \Delta}^{0}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$, ${{\mathit \Delta}^{-}}$ = ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$

#### ${{\mathit \Delta}{(2000)}}$

$I(J^P)$ = $3/2(5/2^{+})$
${{\mathit \Delta}{(2000)}}$ POLE POSITION
 REAL PART
 $-2{\times }$IMAGINARY PART
${{\mathit \Delta}{(2000)}}$ ELASTIC POLE RESIDUE
 MODULUS $\vert \mathit r\vert$
 PHASE $\theta$
 ${{\mathit \Delta}{(2000)}}$ BREIT-WIGNER MASS
 ${{\mathit \Delta}{(2000)}}$ BREIT-WIGNER WIDTH
${{\mathit \Delta}{(2000)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
 ${{\mathit \Delta}{(2000)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
 ${{\mathit \Delta}{(2000)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
 $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$ $3 - 11$ $\%$ 773
 $\Gamma_{2}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ $>$87 $\%$ 751
 $\Gamma_{3}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ $<$9 $\%$ 610
 $\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ $<$6 $\%$ 610
 $\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$ $<$3 $\%$ 610
 $\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit P}{\mathrm -wave}$ seen 514
 $\Gamma_{7}$ ${{\mathit N}}{{\mathit \gamma}}$ 780
 $\Gamma_{8}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 seen 780
 $\Gamma_{9}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2 seen 780
 FOOTNOTES