${{\mathit \Delta}}$ 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 search

${{\boldsymbol \Delta}{(1232)}}$

$I(J^P)$ = $3/2(3/2^{+})$ 
Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).
${{\boldsymbol \Delta}{(1232)}}$ POLE POSITIONS
REAL PART, MIXED CHARGES   $1209\text{ to }1211\text{ }(\approx1210) $ MeV 
 
$-2{\times }$IMAGINARY PART, MIXED CHARGES   $98\text{ to }102\text{ }(\approx100) $ MeV 
 
REAL PART, ${{\mathit \Delta}{(1232)}^{++}}$
 
$-2{\times }$IMAGINARY PART, ${{\mathit \Delta}{(1232)}^{++}}$
 
REAL PART, ${{\mathit \Delta}{(1232)}^{+}}$
 
$-2{\times }$IMAGINARY PART, ${{\mathit \Delta}{(1232)}^{+}}$
 
REAL PART, ${{\mathit \Delta}{(1232)}^{0}}$
 
$-2{\times }$IMAGINARY PART, ${{\mathit \Delta}{(1232)}^{0}}$
 
${{\boldsymbol \Delta}{(1232)}}$ ELASTIC POLE RESIDUES
ABSOLUTE VALUE, MIXED CHARGES   $49\text{ to }52\text{ }(\approx50) $ MeV 
 
PHASE, MIXED CHARGES   $-48\text{ to }-45\text{ }(\approx-46) $ $^\circ{}$ 
 
${{\boldsymbol \Delta}{(1232)}}$ BREIT-WIGNER MASSES
MIXED CHARGES   $1230\text{ to }1234\text{ }(\approx1232) $ MeV 
 
${{\mathit \Delta}{(1232)}^{++}}$ MASS
 
${{\mathit \Delta}{(1232)}^{+}}$ MASS
 
${{\mathit \Delta}{(1232)}^{0}}$ MASS
 
${\mathit m}_{{{\mathit \Delta}^{0}}}–{\mathit m}_{{{\mathit \Delta}^{++}}}$
 
${{\boldsymbol \Delta}{(1232)}}$ BREIT-WIGNER WIDTHS
MIXED CHARGES   $114\text{ to }120\text{ }(\approx117) $ MeV 
 
${{\mathit \Delta}{(1232)}^{++}}$ WIDTH
 
${{\mathit \Delta}{(1232)}^{+}}$ WIDTH
 
${{\mathit \Delta}{(1232)}^{0}}$ WIDTH
 
${{\mathit \Delta}^{0}}-{{\mathit \Delta}^{++}}$ WIDTH DIFFERENCE
 
${{\boldsymbol \Delta}{(1232)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit \Delta}{(1232)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
 
${{\mathit \Delta}{(1232)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
 
${{\boldsymbol \Delta}{(1232)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
${{\mathit \Delta}{(1232)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $-0.142\text{ to }-0.129\text{ }(\approx-0.135) $ GeV${}^{−1/2}$ 
 
${{\mathit \Delta}{(1232)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$   $-0.262\text{ to }-0.248\text{ }(\approx-0.255) $ GeV${}^{−1/2}$ 
 
${{\mathit \Delta}{(1232)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , ${{\mathit E}_{{2}}}/{{\mathit M}_{{1}}}$ ratio   $-0.030\text{ to }-0.020\text{ }(\approx-0.025) $  
 
${{\mathit \Delta}{(1232)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , absolute value of ${{\mathit E}_{{2}}}/{{\mathit M}_{{1}}}$ ratio at pole
 
${{\mathit \Delta}{(1232)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , phase of ${{\mathit E}_{{2}}}/{{\mathit M}_{{1}}}$ ratio at pole
 
${{\boldsymbol \Delta}{(1232)}}$ MAGNETIC MOMENTS
${{\mathit \Delta}{(1232)}^{++}}$ MAGNETIC MOMENT
 
${{\mathit \Delta}{(1232)}^{+}}$ MAGNETIC MOMENT
 
The following branching fractions are our estimates, not fits or averages.
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$  $(99.4)\%$ 229
 
$\Gamma_{2}$ ${{\mathit N}}{{\mathit \gamma}}$  $0.55 - 0.65\%$ 259
 
$\Gamma_{3}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2  $0.11 - 0.13\%$ 259
 
$\Gamma_{4}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2  $0.44 - 0.52\%$ 259
 
$\Gamma_{5}$ ${{\mathit p}}{{\mathit e}^{+}}{{\mathit e}^{-}}$  $(4.2\pm{0.7})\times 10^{-5}$ 259
 
FOOTNOTES