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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  (beta) PDGID: B063

${{\mathit N}{(1535)}}$ $I(J^P)$ = $1/2(1/2^{-})$

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

${{\mathit N}{(1535)}}$ POLE POSITION

REAL PART   $1500\text{ to }1520\text{ }(\approx1510) $ MeV

$-2{\times }$IMAGINARY PART   $80\text{ to }130\text{ }(\approx110) $ MeV

${{\mathit N}{(1535)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $   $15\text{ to }35\text{ }(\approx25) $ MeV

PHASE $\theta $   $-40\text{ to }0\text{ }(\approx-20) $ $^\circ{}$

${{\mathit N}{(1535)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \eta}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \sigma}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$

${{\mathit N}{(1535)}}$ BREIT-WIGNER MASS   $1515\text{ to }1545\text{ }(\approx1530) $ MeV

${{\mathit N}{(1535)}}$ BREIT-WIGNER WIDTH   $125\text{ to }175\text{ }(\approx150) $ MeV

${{\mathit N}{(1535)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $-0.088 \pm0.004$ GeV${}^{−1/2}$

${{\mathit N}{(1535)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $0.090\text{ to }0.120\text{ }(\approx0.105) $ GeV${}^{−1/2}$

${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $-0.095\text{ to }-0.055\text{ }(\approx-0.075) $ GeV${}^{−1/2}$

${{\mathit N}{(1535)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , ratio A${}^{{{\mathit n}}}_{1/2}/A{}^{{{\mathit p}}}_{1/2}$

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)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $32 - 52\%$ 464   $\Gamma_{2}$ ${{\mathit N}}{{\mathit \eta}}$   $30 - 55$ $\%$ 176   $\Gamma_{3}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $4 - 31$ $\%$ 422   $\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $1 - 4$ $\%$ 240   $\Gamma_{5}$ ${{\mathit N}}{{\mathit \rho}}$   $2 - 17$ $\%$ -1   $\Gamma_{6}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2 , ${\mathit S}{\mathrm -wave}$   $2 - 16$ $\%$ -1   $\Gamma_{7}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2 , ${\mathit D}{\mathrm -wave}$   $<$1 $\%$ -1   $\Gamma_{8}$ ${{\mathit N}}{{\mathit \sigma}}$   $2 - 10$ $\%$     $\Gamma_{9}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$   $5 - 12$ $\%$ -1   $\Gamma_{10}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=1/2   $0.15 - 0.30$ $\%$ 477   $\Gamma_{11}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=1/2   $0.01 - 0.25$ $\%$ 477
FOOTNOTES