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${{\mathit \Sigma}}$ BARYONS
($\mathit S$ = $-1$, $\mathit I$ = 1)
${{\mathit \Sigma}^{+}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit u}}$ ${\mathit {\mathit s}}$, ${{\mathit \Sigma}^{0}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit s}}$, ${{\mathit \Sigma}^{-}}$ = ${\mathit {\mathit d}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit s}}$

INSPIRE JSON (beta) PDGID:

${{\mathit \Sigma}{(1775)}}$

$I(J^P)$ = $1(5/2^{-})$

Discovered by GALTIERI 1963 , this resonance plays the same role as cornerstone for isospin-1 analyses in this region as the ${{\mathit \Lambda}{(1820)}}{\mathit F}_{\mathrm 05}$ does in the isospin-0 channel. For most results published before 1974 (they are now obsolete), see our 1982 edition Physics Letters 111B 1 (1982).

${{\mathit \Sigma}{(1775)}}$ POLE POSITION

$1760\text{ to }1780\text{ }(\approx1770) $ MeV

$-2{\times }$IMAGINARY PART

$45\text{ to }65\text{ }(\approx55) $ MeV

${{\mathit \Sigma}{(1775)}}$ POLE RESIDUES

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit G}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit G}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1775)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\overline{\mathit K}}}$ , ${\mathit D}{\mathrm -wave}$

${{\mathit \Sigma}{(1775)}}$ MASS

$1770\text{ to }1780\text{ }(\approx1775) $ MeV

${{\mathit \Sigma}{(1775)}}$ WIDTH

$105\text{ to }135\text{ }(\approx120) $ MeV

${{\mathit \Sigma}{(1775)}}$ DECAY MODES

${{\mathit N}}{{\overline{\mathit K}}}$

${{\mathit \Lambda}}{{\mathit \pi}}$

${{\mathit \Sigma}}{{\mathit \pi}}$

${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$

${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit G}{\mathrm -wave}$

${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$

${{\mathit \Sigma}}{{\mathit \pi}}{{\mathit \pi}}$

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

${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2

${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit D}{\mathrm -wave}$

${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$

${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit G}{\mathrm -wave}$

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.