${{\mathit N}}$ 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 PDGID:
B016

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

$I(J^P)$ = $1/2(3/2^{-})$ 

was ${{\mathit N}{(2080)}}$
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$_{3/2}$
${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
${{\mathit N}{(1875)}}$ 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