${{\mathit N}}$ 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:
B015

${{\mathit N}{(1720)}}$

$I(J^P)$ = $1/2(3/2^{+})$ 
Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).
${{\mathit N}{(1720)}}$ POLE POSITION
REAL PART   $1660\text{ to }1710\text{ }(\approx1680) $ MeV 
 
$-2{\times }$IMAGINARY PART   $150\text{ to }300\text{ }(\approx200) $ MeV 
 
${{\mathit N}{(1720)}}$ ELASTIC POLE RESIDUE
MODULUS $\vert \mathit r\vert $   $10\text{ to }25\text{ }(\approx15) $ MeV 
 
PHASE $\theta $   $-160\text{ to }-60\text{ }(\approx-110) $ $^\circ{}$ 
 
${{\mathit N}{(1720)}}$ INELASTIC POLE RESIDUE
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \eta}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit K}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$   $0.059 \pm0.005$  
 
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit P}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$, ${\mathit F}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \sigma}}$
Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$, ${\mathit S}{\mathrm -wave}$
${{\mathit N}{(1720)}}$ BREIT-WIGNER MASS   $1680\text{ to }1750\text{ }(\approx1720) $ MeV 
 
${{\mathit N}{(1720)}}$ BREIT-WIGNER WIDTH   $150\text{ to }400\text{ }(\approx250) $ MeV 
 
${{\mathit N}{(1720)}}$ PHOTON DECAY AMPLITUDES AT THE POLE
${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
${{\mathit N}{(1720)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES
${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$   $0.080\text{ to }0.120\text{ }(\approx0.100) $ GeV${}^{−1/2}$ 
 
${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
${{\mathit N}{(1720)}}$ $\rightarrow$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$
The following branching fractions are our estimates, not fits or averages.
$\Gamma_{1}$ ${{\mathit N}}{{\mathit \pi}}$   $8 - 14\%$ 594
 
$\Gamma_{2}$ ${{\mathit N}}{{\mathit \eta}}$   $1 - 5\%$ 422
 
$\Gamma_{3}$ ${{\mathit N}}{{\mathit \omega}}$   $12 - 40\%$ -1
 
$\Gamma_{4}$ ${{\mathit \Lambda}}{{\mathit K}}$   $4 - 19$ $\%$ 283
 
$\Gamma_{5}$ ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$   $>$50 $\%$ 564
 
$\Gamma_{6}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$   $47 - 89\%$ 402
 
$\Gamma_{7}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $47 - 77\%$ 402
 
$\Gamma_{8}$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $<12\%$ 402
 
$\Gamma_{9}$ ${{\mathit N}}{{\mathit \rho}}$   74
 
$\Gamma_{10}$ ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2, ${\mathit P}{\mathrm -wave}$   $1 - 2\%$ 74
 
$\Gamma_{11}$ ${{\mathit N}}{{\mathit \sigma}}$   $2 - 14\%$  
 
$\Gamma_{12}$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$   $<2\%$ 225
 
$\Gamma_{13}$ ${{\mathit N}{(1520)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$   $1 - 5\%$ 145
 
$\Gamma_{14}$ ${{\mathit p}}{{\mathit \gamma}}$   $0.05 - 0.25\%$ 604
 
$\Gamma_{15}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=1/2   $0.05 - 0.15\%$ 604
 
$\Gamma_{16}$ ${{\mathit p}}{{\mathit \gamma}}$ , helicity=3/2   $0.002 - 0.16\%$ 604
 
$\Gamma_{17}$ ${{\mathit n}}{{\mathit \gamma}}$   $0.0 - 0.016\%$ 603
 
$\Gamma_{18}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=1/2   $0.0 - 0.01\%$ 603
 
$\Gamma_{19}$ ${{\mathit n}}{{\mathit \gamma}}$ , helicity=3/2   $0.0 - 0.015\%$ 603
 
FOOTNOTES