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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:

${{\mathit \Sigma}{(1750)}}$

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

For most results published before 1974 (they are now obsolete), see our 1982 edition Physics Letters 111B 1 (1982). There is evidence for this state in many partial-wave analyses, but with wide variations in the mass, width, and couplings. The latest analyses indicated significant couplings to ${{\mathit N}}{{\overline{\mathit K}}}$ and ${{\mathit \Lambda}}{{\mathit \pi}}$ , as well as to ${{\mathit \Sigma}}{{\mathit \eta}}$ whose threshold is at 1746 MeV (JONES 1974 ).

${{\mathit \Sigma}{(1750)}}$ POLE POSITION

$1689 \pm11$ MeV

$-2{\times }$IMAGINARY PART

$206 \pm18$ MeV

${{\mathit \Sigma}{(1750)}}$ POLE RESIDUES

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \eta}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit S}{\mathrm -wave}$

${{\mathit \Sigma}{(1750)}}$ MASS

$1700\text{ to }1800\text{ }(\approx1750) $ MeV

${{\mathit \Sigma}{(1750)}}$ WIDTH

$100\text{ to }200\text{ }(\approx150) $ MeV

${{\mathit \Sigma}{(1750)}}$ DECAY MODES

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

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

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

${{\mathit \Sigma}}{{\mathit \eta}}$

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

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

$(2.0\pm{1.0})\%$

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

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

FOOTNOTES

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