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${{\mathit \Delta}}$ BARYONS
($\mathit S$ = 0, $\mathit I$ = 3/2)
${{\mathit \Delta}^{++}}$ = ${{\mathit u}}{{\mathit u}}{{\mathit u}}$ , ${{\mathit \Delta}^{+}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$, ${{\mathit \Delta}^{0}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$, ${{\mathit \Delta}^{-}}$ = ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$

INSPIRE JSON (beta) PDGID:

${{\mathit \Delta}{(1940)}}$

$I(J^P)$ = $3/2(3/2^{-})$

${{\mathit \Delta}{(1940)}}$ POLE POSITION

$1850\text{ to }2050\text{ }(\approx1950) $ MeV

$-2{\times }$IMAGINARY PART

$200\text{ to }500\text{ }(\approx350) $ MeV

${{\mathit \Delta}{(1940)}}$ ELASTIC POLE RESIDUE

MODULUS $\vert \mathit r\vert $

$4\text{ to }10\text{ }(\approx7) $ MeV

PHASE $\theta $

$150\text{ to }250\text{ }(\approx200) $ $^\circ{}$

${{\mathit \Delta}{(1940)}}$ INELASTIC POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}{(1535)}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

${{\mathit \Delta}{(1940)}}$ BREIT-WIGNER MASS

$1940\text{ to }2060\text{ }(\approx2000) $ MeV

${{\mathit \Delta}{(1940)}}$ BREIT-WIGNER WIDTH

$300\text{ to }500\text{ }(\approx400) $ MeV

${{\mathit \Delta}{(1940)}}$ PHOTON DECAY AMPLITUDES AT THE POLE

${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

${{\mathit \Delta}{(1940)}}$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$

${{\mathit \Delta}{(1940)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-3/2 amplitude A$_{3/2}$

${{\mathit \Delta}{(1940)}}$ DECAY MODES

${{\mathit N}}{{\mathit \pi}}$

${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$

${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$

${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$

${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2 , ${\mathit S}{\mathrm -wave}$

${{\mathit N}{(1535)}}{{\mathit \pi}}$

${{\mathit N}}{{\mathit a}_{{0}}{(980)}}$

${{\mathit \Delta}{(1232)}}{{\mathit \eta}}$

${{\mathit N}}{{\mathit \gamma}}$

$0.06 - 2.53$ $\%$

${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2

$0.06 - 1.51$ $\%$

${{\mathit N}}{{\mathit \gamma}}$ , helicity=3/2

$0 - 1.02$ $\%$

FOOTNOTES

Except where otherwise noted, content of the 2023 Review of Particle Physics is licensed under a Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license. The publication of the Review of Particle Physics is supported by US DOE, MEXT (Japan), INFN (Italy), JPS and CERN. Individual collaborators receive support for their PDG activities from their respective institutes or funding agencies. © 2023. See LBNL disclaimers.