${{\boldsymbol N}}$ BARYONS
($\boldsymbol S$ = 0, $\boldsymbol I$ = 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 search

${{\boldsymbol N}{(1875)}}$ $I(J^P)$ = $1/2(3/2^{-})$

Before the 2012 $\mathit Review$, all the evidence for a $\mathit J{}^{P} = 3/2{}^{-}$ state with a mass above 1800 MeV was filed under a two-star ${{\mathit N}{(2080)}}$. There is now evidence from ANISOVICH 2012A for two ${}^{}3/2{}^{-}$ states in this region, so we have split the older data (according to mass) between a three-star ${{\mathit N}{(1875)}}$ and a two-star ${{\mathit N}{(2120)}}$.
${{\boldsymbol N}{(1875)}}$ POLE POSITION
REAL PART   $1850\text{ to }1950\text{ }(\approx1900) $ MeV 
$-2{\times }$IMAGINARY PART   $100\text{ to }220\text{ }(\approx160) $ MeV 
${{\boldsymbol N}{(1875)}}$ ELASTIC POLE RESIDUE
MODULUS $\vert \mathit r\vert $   $3\text{ to }12\text{ }(\approx10) $ MeV 
PHASE $\theta $   $50\text{ to }200\text{ }(\approx100) $ $^\circ{}$ 
${{\boldsymbol N}{(1875)}}$ INELASTIC POLE RESIDUE
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit K}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \sigma}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$
${{\mathit N}{(1875)}}$ BREIT-WIGNER MASS   $1850\text{ to }1920\text{ }(\approx1875) $ MeV 
${{\mathit N}{(1875)}}$ BREIT-WIGNER WIDTH   $120\text{ to }250\text{ }(\approx200) $ MeV 
${{\boldsymbol N}{(1875)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
${{\boldsymbol N}{(1875)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $0.010\text{ to }0.025\text{ }(\approx0.015) $ GeV${}^{−1/2}$ 
${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$   $-0.010\text{ to }0.025\text{ }(\approx-0.005) $ GeV${}^{−1/2}$ 
${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$ $3 - 11\%$695
$\Gamma_{2}$ ${{\mathit N}}{{\mathit \eta}}$ $<1\%$559
$\Gamma_{3}$ ${{\mathit N}}{{\mathit \omega}}$ $15 - 25\%$371
$\Gamma_{4}$ ${{\mathit \Lambda}}{{\mathit K}}$ seen454
$\Gamma_{5}$ ${{\mathit \Sigma}}{{\mathit K}}$ seen384
$\Gamma_{6}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ 670
$\Gamma_{7}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ $10 - 35\%$520
$\Gamma_{8}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$ $7 - 21\%$520
$\Gamma_{9}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$ $2 - 12\%$520
$\Gamma_{10}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit S}{\mathrm -wave}$ seen379
$\Gamma_{11}$ ${{\mathit \Lambda}}{{\mathit K}^{*}{(892)}}$ -1
$\Gamma_{12}$ ${{\mathit N}}{{\mathit \sigma}}$ $30 - 60\%$
$\Gamma_{13}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$ $2 - 8\%$365
$\Gamma_{14}$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$ $<2\%$301
$\Gamma_{15}$ ${{\mathit p}}{{\mathit \gamma}}$ $0.001 - 0.025\%$703
$\Gamma_{16}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=1/2 $0.001 - 0.021\%$703
$\Gamma_{17}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=3/2 $<0.003\%$703
$\Gamma_{18}$ ${{\mathit n}}{{\mathit \gamma}}$ $<0.040\%$702
$\Gamma_{19}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=1/2 $<0.007\%$702
$\Gamma_{20}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=3/2 $<0.033\%$702