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

${{\mathit \Delta}{(1232)}}$ $I(J^P)$ = $3/2(3/2^{+})$

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

${{\mathit \Delta}{(1232)}}$ 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, ${{\mathit \Delta}{(1232)}^{0}}$

${{\mathit \Delta}{(1232)}}$ ELASTIC POLE RESIDUES

ABSOLUTE VALUE, MIXED CHARGES

$49\text{ to }52\text{ }(\approx50) $ MeV

PHASE, MIXED CHARGES

$-48\text{ to }-45\text{ }(\approx-46) $ $^\circ{}$

${{\mathit \Delta}{(1232)}}$ BREIT-WIGNER MASSES

$1230\text{ to }1234\text{ }(\approx1232) $ MeV

${{\mathit \Delta}{(1232)}^{++}}$ MASS

${{\mathit \Delta}{(1232)}^{+}}$ MASS

${{\mathit \Delta}{(1232)}^{0}}$ MASS

${\mathit m}_{{{\mathit \Delta}^{0}}}–{\mathit m}_{{{\mathit \Delta}^{++}}}$

${{\mathit \Delta}{(1232)}}$ BREIT-WIGNER WIDTHS

$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

${{\mathit \Delta}{(1232)}}$ 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$_{3/2}$

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

$-0.028\text{ to }-0.022\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

${{\mathit \Delta}{(1232)}}$ MAGNETIC MOMENTS

${{\mathit \Delta}{(1232)}^{++}}$ MAGNETIC MOMENT

${{\mathit \Delta}{(1232)}^{+}}$ MAGNETIC MOMENT

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

The following branching fractions are our estimates, not fits or averages.

${{\mathit N}}{{\mathit \pi}}$

${{\mathit N}}{{\mathit \gamma}}$

$0.55 - 0.65\%$

${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2

$0.11 - 0.13\%$

${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2

$0.44 - 0.52\%$

${{\mathit p}}{{\mathit e}^{+}}{{\mathit e}^{-}}$

$(4.2\pm{0.7})\times 10^{-5}$