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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: B030

${{\mathit \Delta}{(1900)}}$ $I(J^P)$ = $3/2(1/2^{-})$

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

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

REAL PART   $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$_{1/2}$

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)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $4 - 12\%$ 685   $\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit K}}$   seen 367   $\Gamma_{3}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $>$ 52$\%$ 660   $\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $30 - 70\%$ 509   $\Gamma_{5}$ ${{\mathit N}}{{\mathit \rho}}$   $22 - 60\%$ 360   $\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2, ${\mathit S}{\mathrm -wave}$   $11 - 35\%$ 360   $\Gamma_{7}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$   $11 - 25\%$ 360   $\Gamma_{8}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$   $3 - 32\%$ 353   $\Gamma_{9}$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$   $2 - 10\%$ 288   $\Gamma_{10}$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$   $<$ 2$\%$ 251   $\Gamma_{11}$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2   $0.06 - 0.43\%$ 693
FOOTNOTES