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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: B061

${{\mathit N}{(1440)}}$ $I(J^P)$ = $1/2(1/2^{+})$

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

${{\mathit N}{(1440)}}$ POLE POSITION

REAL PART   $1360\text{ to }1380\text{ }(\approx1370) $ MeV

$-2{\times }$IMAGINARY PART   $180\text{ to }205\text{ }(\approx190) $ MeV

${{\mathit N}{(1440)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $   $50\text{ to }60\text{ }(\approx55) $ MeV

PHASE $\theta $   $-100\text{ to }-80\text{ }(\approx-90) $ $^\circ{}$

${{\mathit N}{(1440)}}$ INELASTIC POLE RESIDUE

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

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1440)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$

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

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

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1440)}}$ $\rightarrow$ ${{\mathit N}}$ (${{\mathit \pi}{\mathit \pi}}){}^{\mathit I = 0}_{{\mathit S}{\mathrm -wave}}$

${{\mathit N}{(1440)}}$ BREIT-WIGNER MASS   $1410\text{ to }1470\text{ }(\approx1440) $ MeV

${{\mathit N}{(1440)}}$ BREIT-WIGNER WIDTH   $250\text{ to }450\text{ }(\approx350) $ MeV

${{\mathit N}{(1440)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit N}{(1440)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit N}{(1440)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit N}{(1440)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $-0.080\text{ to }-0.050\text{ }(\approx-0.065) $ GeV${}^{−1/2}$

${{\mathit N}{(1440)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $0.035\text{ to }0.055\text{ }(\approx0.045) $ GeV${}^{−1/2}$

${{\mathit N}{(1440)}}$ 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)   $\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $55 - 75\%$ 398   $\Gamma_{2}$ ${{\mathit N}}{{\mathit \eta}}$   $< 1 \%$ -1   $\Gamma_{3}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $17 - 50\%$ 347   $\Gamma_{4}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $6 - 27\%$ 147   $\Gamma_{5}$ ${{\mathit N}}{{\mathit \sigma}}$   $11 - 23\%$     $\Gamma_{6}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=1/2   $0.035 - 0.048\%$ 414   $\Gamma_{7}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=1/2   $0.02 - 0.04\%$ 413
FOOTNOTES