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${{\mathit N}}$ BARYONS ($\mathit S$ = 0, $\mathit I$ = 1/2) ${{\mathit p}}$, ${{\mathit N}^{+}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$; ${{\mathit n}}$, ${{\mathit N}^{0}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$

INSPIRE   JSON  (beta) PDGID: B144

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

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

REAL PART   $1900\text{ to }1940\text{ }(\approx1920) $ MeV

$-2{\times }$IMAGINARY PART   $90\text{ to }160\text{ }(\approx130) $ MeV

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

MODULUS $\vert \mathit r\vert $   $2\text{ to }6\text{ }(\approx4) $ MeV

PHASE $\theta $   $-40\text{ to }20\text{ }(\approx-10) $ $^\circ{}$

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

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

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

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

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1900)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1900)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1900)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$

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

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

${{\mathit N}{(1900)}}$ BREIT-WIGNER MASS   $1890\text{ to }1950\text{ }(\approx1920) $ MeV

${{\mathit N}{(1900)}}$ BREIT-WIGNER WIDTH   $100\text{ to }320\text{ }(\approx200) $ MeV

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

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

${{\mathit N}{(1900)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

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

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

${{\mathit N}{(1900)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

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

${{\mathit N}{(1900)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

${{\mathit N}{(1900)}}$ DECAY MODES
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $1 - 20$ $\%$ 723   $\Gamma_{2}$ ${{\mathit N}}{{\mathit \eta}}$   $2 - 14\%$ 595   $\Gamma_{3}$ ${{\mathit N}}{{\mathit \eta}^{\,'}}$   $4 - 8$ $\%$ 151   $\Gamma_{4}$ ${{\mathit N}}{{\mathit \omega}}$   $7 - 13\%$ 424   $\Gamma_{5}$ ${{\mathit \Lambda}}{{\mathit K}}$   $2 - 20\%$ 495   $\Gamma_{6}$ ${{\mathit \Sigma}}{{\mathit K}}$   $3 - 7\%$ 431   $\Gamma_{7}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $>$56 $\%$ 699   $\Gamma_{8}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$   $30 - 70\%$ 553   $\Gamma_{9}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $9 - 25\%$ 553   $\Gamma_{10}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $21 - 45\%$ 553   $\Gamma_{11}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2   $25 - 40$ $\%$ 432   $\Gamma_{12}$ ${{\mathit N}}{{\mathit \sigma}}$   $1 - 7\%$     $\Gamma_{13}$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$   $7 - 23\%$ 341   $\Gamma_{14}$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$   $4 - 10\%$ 328   $\Gamma_{15}$ ${{\mathit \Lambda}}{{\mathit K}^{*}{(892)}}$   $<$ 0.2 $\%$ -1   $\Gamma_{16}$ ${{\mathit p}}{{\mathit \gamma}}$   $0.001 - 0.025\%$ 731   $\Gamma_{17}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=1/2   $0.001 - 0.021\%$ 731   $\Gamma_{18}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=3/2   $<0.003\%$ 731   $\Gamma_{19}$ ${{\mathit n}}{{\mathit \gamma}}$   $<0.040\%$ 730   $\Gamma_{20}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=1/2   $<0.007\%$ 730   $\Gamma_{21}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=3/2   $<0.033\%$ 730
FOOTNOTES