${{\mathit N}}$ 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 search

#### ${{\mathit N}{(1875)}}$

$I(J^P)$ = $1/2(3/2^{-})$
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 ${{\mathit N}{(2120)}}$.
${{\mathit N}{(1875)}}$ POLE POSITION
 REAL PART $1850\text{ to }1950\text{ }(\approx1900)$ MeV
 $-2{\times }$IMAGINARY PART $100\text{ to }220\text{ }(\approx160)$ MeV
${{\mathit N}{(1875)}}$ ELASTIC POLE RESIDUE
 MODULUS $\vert \mathit r\vert$ $3\text{ to }12\text{ }(\approx10)$ MeV
 PHASE $\theta$ $50\text{ to }200\text{ }(\approx100)$ $^\circ{}$
${{\mathit N}{(1875)}}$ 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
${{\mathit N}{(1875)}}$ 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$_{3/2}$
${{\mathit N}{(1875)}}$ 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
 $\Gamma_{2}$ ${{\mathit N}}{{\mathit \eta}}$ $3 - 16$ $\%$ 559
 $\Gamma_{3}$ ${{\mathit N}}{{\mathit \omega}}$ $15 - 25\%$ 371
 $\Gamma_{4}$ ${{\mathit \Lambda}}{{\mathit K}}$ $1 - 2$ $\%$ 454
 $\Gamma_{5}$ ${{\mathit \Sigma}}{{\mathit K}}$ $0.3 - 1.1$ $\%$ 384
 $\Gamma_{6}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ $>$56 $\%$ 670
 $\Gamma_{7}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ $4 - 44$ $\%$ 520
 $\Gamma_{8}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$ $2 - 21$ $\%$ 520
 $\Gamma_{9}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$ $2 - 23$ $\%$ 520
 $\Gamma_{10}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit S}{\mathrm -wave}$ $36 - 56$ $\%$ 379
 $\Gamma_{11}$ ${{\mathit N}}{{\mathit \sigma}}$ $16 - 60$ $\%$
 $\Gamma_{12}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$ $2 - 8\%$ 365
 $\Gamma_{13}$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$ $<2\%$ 301
 $\Gamma_{14}$ ${{\mathit \Lambda}}{{\mathit K}^{*}{(892)}}$ $<$0.2 $\%$ -1
 $\Gamma_{15}$ ${{\mathit p}}{{\mathit \gamma}}$ $0.001 - 0.025\%$ 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
 FOOTNOTES