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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 search

${{\mathit \Sigma}{(1620)}}$

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

The ${\mathit S}_{\mathrm 11}$ state at 1697 MeV reported by VANHORN 1975 is tentatively listed under the ${{\mathit \Sigma}{(1750)}}$. CARROLL 1976 sees two bumps in the isospin-$1{}^{}{}^{}$ total cross section near this mass. GAO 2012 sees no evidence for this resonance. Production experiments are listed separately in the next entry.

${{\mathit \Sigma}{(1620)}}$ POLE POSITION

$1680 \pm8$ MeV

$-2{\times }$IMAGINARY PART

${{\mathit \Sigma}{(1620)}}$ POLE RESIDUE

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1620)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1620)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1620)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1620)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1620)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$

$0.015 \pm0.010$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1620)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , ${\mathit S}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1620)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1620)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$

${{\mathit \Sigma}{(1620)}}$ MASS

$1600\text{ to }1650\text{ }(\approx1620) $ MeV

${{\mathit \Sigma}{(1620)}}$ WIDTH

$40\text{ to }100\text{ }(\approx70) $ MeV

${{\mathit \Sigma}{(1620)}}$ Decay Modes

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

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

$(9.0\pm{3.0})\%$

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

${{\mathit \Xi}}{{\mathit K}}$

${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$

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

FOOTNOTES

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