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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:

${{\mathit \Sigma}{(1580)}}$

$I(J^P)$ = $1(3/2^{-})$

Seen in the isospin-$1{}^{}{}^{}$ ${{\overline{\mathit K}}}{{\mathit N}}$ cross section at BNL (LI 1973 , CARROLL 1976 ) and in a partial-wave analysis of ${{\mathit K}^{-}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}^{0}}$ for c.m. energies 1560$-$1600 MeV by LITCHFIELD 1974 . LITCHFIELD 1974 finds $\mathit J{}^{P} = 3/2{}^{-}$. Not seen by ENGLER 1978 , CAMERON 1978C, OLMSTED 2004 , nor by PRAKHOV 2004 . Neither ZHANG 2013A nor SARANTSEV 2019 see any evidence for this state.

${{\mathit \Sigma}{(1580)}}$ POLE POSITION

$-2{\times }$IMAGINARY PART

${{\mathit \Sigma}{(1580)}}$ POLE RESIDUES

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1580)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1580)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1580)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1580)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1580)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

${{\mathit \Sigma}{(1580)}}$ MASS

$\approx1580$ MeV

${{\mathit \Sigma}{(1580)}}$ WIDTH

${{\mathit \Sigma}{(1580)}}$ DECAY MODES

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

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

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

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

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

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

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

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

FOOTNOTES

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