${{\mathit \Delta}}$ 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:
B117

${{\mathit \Delta}{(1920)}}$

$I(J^P)$ = $3/2(3/2^{+})$ 
Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).
${{\mathit \Delta}{(1920)}}$ POLE POSITION
REAL PART   $1850\text{ to }1950\text{ }(\approx1900) $ MeV 
 
$-2{\times }$IMAGINARY PART   $200\text{ to }400\text{ }(\approx300) $ MeV 
 
${{\mathit \Delta}{(1920)}}$ ELASTIC POLE RESIDUE
MODULUS $\vert \mathit r\vert $   $15\text{ to }35\text{ }(\approx25) $ MeV 
 
PHASE $\theta $   $-150\text{ to }-50\text{ }(\approx-100) $ $^\circ{}$ 
 
${{\mathit \Delta}{(1920)}}$ INELASTIC POLE RESIDUE
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \eta}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit P}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit F}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit a}_{{{0}}}{(980)}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$, ${\mathit S}{\mathrm -wave}$
${{\mathit \Delta}{(1920)}}$ BREIT-WIGNER MASS   $1870\text{ to }1970\text{ }(\approx1920) $ MeV 
 
${{\mathit \Delta}{(1920)}}$ BREIT-WIGNER WIDTH   $240\text{ to }360\text{ }(\approx300) $ MeV 
 
${{\mathit \Delta}{(1920)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
${{\mathit \Delta}{(1920)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit \Delta}{(1920)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
The following branching fractions are our estimates, not fits or averages.
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $5 - 20$ $\%$ 723
 
$\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit K}}$   $2 - 6$ $\%$ 431
 
$\Gamma_{3}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $>$46 $\%$ 699
 
$\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$   $>$46 $\%$ 553
 
$\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $2 - 28$ $\%$ 553
 
$\Gamma_{6}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $44 - 72$ $\%$ 553
 
$\Gamma_{7}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $4 - 86$ $\%$ 403
 
$\Gamma_{8}$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$   $<5\%$ 341
 
$\Gamma_{9}$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$   $<2\%$ 328
 
$\Gamma_{10}$ ${{\mathit N}}{{\mathit a}_{{{0}}}{(980)}}$   seen 41
 
$\Gamma_{11}$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$   $5 - 17$ $\%$ 336
 
$\Gamma_{12}$ ${{\mathit N}}{{\mathit \gamma}}$   $0.01 - 0.84$ $\%$ 731
 
$\Gamma_{13}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2   $0.0 - 0.42$ $\%$ 731
 
$\Gamma_{14}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2   $0.01 - 0.42$ $\%$ 731
 
FOOTNOTES