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

INSPIRE

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

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

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

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

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

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

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

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

${{\mathit \Delta}{(1232)}}$ 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   $-0.030\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

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

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

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

${{\mathit \Delta}{(1232)}}$ Decay Modes
The following branching fractions are our estimates, not fits or averages.
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $(99.4)\%$ 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