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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: B065

${{\mathit N}{(1680)}}$ $I(J^P)$ = $1/2(5/2^{+})$

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

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▸  exp ${{\mathit N}{(1680)}}$ POLE POSITION

REAL PART 1660 TO 1680 $(\approx 1670 )$ MeV

$-2{\times }$IMAGINARY PART 110 TO 135 $(\approx 120 )$ MeV

▸  exp ${{\mathit N}{(1680)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $ 35 TO 45 $(\approx 40 )$ MeV

PHASE $\theta $ -30 TO -10 $(\approx -20 )$ $^\circ{}$

▸  exp ${{\mathit N}{(1680)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit P}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit F}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \eta}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit N}}$ (${{\mathit \pi}{\mathit \pi}}){}^{\mathit I = 0}_{{\mathit S}{\mathrm -wave}}$

${{\mathit N}{(1680)}}$ BREIT-WIGNER MASS 1680 TO 1690 $(\approx 1685 )$ MeV

${{\mathit N}{(1680)}}$ BREIT-WIGNER WIDTH 115 TO 130 $(\approx 120 )$ MeV

▸  exp ${{\mathit N}{(1680)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

▸  exp ${{\mathit N}{(1680)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$ -0.018 TO -0.005 $(\approx -0.010 )$ GeV${}^{−1/2}$

${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$ 0.130 TO 0.140 $(\approx 0.135 )$ GeV${}^{−1/2}$

${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$ 0.020 TO 0.040 $(\approx 0.030 )$ GeV${}^{−1/2}$

${{\mathit N}{(1680)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$ -0.050 TO -0.025 $(\approx -0.035 )$ GeV${}^{−1/2}$

${{\mathit N}{(1680)}}$ DECAY MODES
The following branching fractions are our estimates, not fits or averages.
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$ $(60 - 70) \%$ 571   $\Gamma_{2}$ ${{\mathit N}}{{\mathit \eta}}$ <1 $\%$ 386   $\Gamma_{3}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ $(28 - 53) \%$ 539   $\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ $(11 - 23) \%$ 374   $\Gamma_{5}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$ $(4 - 10) \%$ 374   $\Gamma_{6}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$ $(1 - 13) \%$ 374   $\Gamma_{7}$ ${{\mathit N}}{{\mathit \rho}}$ $(8 - 11) \%$ -1   $\Gamma_{8}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2 , ${\mathit P}{\mathrm -wave}$ $(6 - 8) \%$ -1   $\Gamma_{9}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2 , ${\mathit F}{\mathrm -wave}$ $(2 - 3) \%$ -1   $\Gamma_{10}$ ${{\mathit N}}{{\mathit \sigma}}$ $(9 - 19) \%$     $\Gamma_{11}$ ${{\mathit p}}{{\mathit \gamma}}$ $(0.21 - 0.32) \%$ 581   $\Gamma_{12}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=1/2 $(0.001 - 0.011) \%$ 581   $\Gamma_{13}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=3/2 $(0.20 - 0.32) \%$ 581   $\Gamma_{14}$ ${{\mathit n}}{{\mathit \gamma}}$ $(0.021 - 0.046) \%$ 581   $\Gamma_{15}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=1/2 $(0.004 - 0.029) \%$ 581   $\Gamma_{16}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=3/2 $(0.01 - 0.024) \%$ 581