${{\mathit N}}$ 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:
B066

${{\mathit N}{(1650)}}$

$I(J^P)$ = $1/2(1/2^{-})$ 
Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).
${{\mathit N}{(1650)}}$ POLE POSITION
REAL PART   $1650\text{ to }1680\text{ }(\approx1665) $ MeV 
 
$-2{\times }$IMAGINARY PART   $100\text{ to }170\text{ }(\approx135) $ MeV 
 
${{\mathit N}{(1650)}}$ ELASTIC POLE RESIDUE
MODULUS $\vert \mathit r\vert $   $25\text{ to }55\text{ }(\approx45) $ MeV 
 
PHASE $\theta $   $-80\text{ to }-50\text{ }(\approx-70) $ $^\circ{}$ 
 
${{\mathit N}{(1650)}}$ INELASTIC POLE RESIDUE
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \eta}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit K}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \sigma}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$
${{\mathit N}{(1650)}}$ BREIT-WIGNER MASS   $1635\text{ to }1665\text{ }(\approx1650) $ MeV 
 
${{\mathit N}{(1650)}}$ BREIT-WIGNER WIDTH   $100\text{ to }150\text{ }(\approx125) $ MeV 
 
${{\mathit N}{(1650)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit N}{(1650)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $0.035\text{ to }0.055\text{ }(\approx0.045) $ GeV${}^{−1/2}$ 
 
${{\mathit N}{(1650)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $-0.040\text{ to }0.030\text{ }(\approx-0.010) $ GeV${}^{−1/2}$ 
 
The following branching fractions are our estimates, not fits or averages.
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $50 - 70\%$ 547
 
$\Gamma_{2}$ ${{\mathit N}}{{\mathit \eta}}$   $15 - 35\%$ 348
 
$\Gamma_{3}$ ${{\mathit \Lambda}}{{\mathit K}}$   $5 - 15\%$ 169
 
$\Gamma_{4}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $20 - 58$ $\%$ 514
 
$\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $6 - 18\%$ 345
 
$\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$   $12 - 22$ $\%$ -1
 
$\Gamma_{7}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2, ${\mathit S}{\mathrm -wave}$   $<$4 $\%$ -1
 
$\Gamma_{8}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$   $12 - 18$ $\%$ -1
 
$\Gamma_{9}$ ${{\mathit N}}{{\mathit \sigma}}$   $2 - 18\%$  
 
$\Gamma_{10}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$   $6 - 26\%$ 150
 
$\Gamma_{11}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=1/2   $0.04 - 0.20\%$ 558
 
$\Gamma_{12}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=1/2   $0.003 - 0.17\%$ 557
 
FOOTNOTES