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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:

${{\mathit \Delta}{(1900)}}$

$I(J^P)$ = $3/2(1/2^{-})$

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

${{\mathit \Delta}{(1900)}}$ POLE POSITION

$1830\text{ to }1900\text{ }(\approx1865) $ MeV

$-2{\times }$IMAGINARY PART

$180\text{ to }300\text{ }(\approx240) $ MeV

${{\mathit \Delta}{(1900)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $

$8\text{ to }14\text{ }(\approx11) $ MeV

PHASE $\theta $

${{\mathit \Delta}{(1900)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$

${{\mathit \Delta}{(1900)}}$ BREIT-WIGNER MASS

$1840\text{ to }1920\text{ }(\approx1860) $ MeV

${{\mathit \Delta}{(1900)}}$ BREIT-WIGNER WIDTH

$180\text{ to }320\text{ }(\approx250) $ MeV

${{\mathit \Delta}{(1900)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1900)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit \Delta}{(1900)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1900)}}$ DECAY MODES

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

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

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

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

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

${{\mathit N}}{{\mathit \rho}}$

${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2, ${\mathit S}{\mathrm -wave}$

${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$

${{\mathit N}{(1440)}}{{\mathit \pi}}$

${{\mathit N}{(1520)}}{{\mathit \pi}}$

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

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

$0.06 - 0.43\%$

FOOTNOTES

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