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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 JSON (beta) PDGID:

${{\mathit \Delta}{(1950)}}$

$I(J^P)$ = $3/2(7/2^{+})$

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

${{\mathit \Delta}{(1950)}}$ POLE POSITION

$1870\text{ to }1890\text{ }(\approx1880) $ MeV

$-2{\times }$IMAGINARY PART

$220\text{ to }260\text{ }(\approx240) $ MeV

${{\mathit \Delta}{(1950)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $

$44\text{ to }60\text{ }(\approx52) $ MeV

PHASE $\theta $

$-40\text{ to }-24\text{ }(\approx-32) $ $^\circ{}$

${{\mathit \Delta}{(1950)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit H}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$

${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER MASS

$1915\text{ to }1950\text{ }(\approx1930) $ MeV

${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER WIDTH

$235\text{ to }335\text{ }(\approx285) $ MeV

${{\mathit \Delta}{(1950)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

${{\mathit \Delta}{(1950)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

$-0.075\text{ to }-0.065\text{ }(\approx-0.070) $ GeV${}^{−1/2}$

${{\mathit \Delta}{(1950)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

$-0.100\text{ to }-0.080\text{ }(\approx-0.090) $ GeV${}^{−1/2}$

${{\mathit \Delta}{(1950)}}$ DECAY MODES

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

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

${{\mathit \Sigma}}{{\mathit K}}$

$0.3 - 0.5$ $\%$

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

${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$

${{\mathit N}{(1680)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$

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

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

$0.06 - 0.14$ $\%$

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

$0.03 - 0.05$ $\%$

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

$0.04 - 0.09$ $\%$

FOOTNOTES

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