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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 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 ${{\mathit N}{(2120)}}$.

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▸  exp ${{\mathit N}{(1875)}}$ POLE POSITION

REAL PART 1850 TO 1950 $(\approx 1900 )$ MeV

$-2{\times }$IMAGINARY PART 100 TO 220 $(\approx 160 )$ MeV

▸  exp ${{\mathit N}{(1875)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $ 3 TO 12 $(\approx 10 )$ MeV

PHASE $\theta $ 50 TO 200 $(\approx 100 )$ $^\circ{}$

▸  exp ${{\mathit N}{(1875)}}$ 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 TO 1920 $(\approx 1875 )$ MeV

${{\mathit N}{(1875)}}$ BREIT-WIGNER WIDTH 120 TO 250 $(\approx 200 )$ MeV

▸  exp ${{\mathit N}{(1875)}}$ 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$_{3/2}$

▸  exp ${{\mathit N}{(1875)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$ 0.010 TO 0.025 $(\approx 0.015 )$ GeV${}^{−1/2}$

${{\mathit N}{(1875)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$ -0.010 TO 0.025 $(\approx -0.005 )$ 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$_{3/2}$

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

Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$ $(3 - 11) \%$ 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