${{\mathit \Delta}}$ 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