${{\boldsymbol \Sigma}}$ BARYONS
($\boldsymbol S$ = $-1$, $\boldsymbol I$ = 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

${{\boldsymbol \Sigma}{(1750)}}$ $I(J^P)$ = $1(1/2^{-})$ 

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 ).
${{\boldsymbol \Sigma}{(1750)}}$ POLE POSITION
REAL PART   $1689 \pm11$ MeV 
$-2{\times }$IMAGINARY PART   $206 \pm18$ MeV 
${{\boldsymbol \Sigma}{(1750)}}$ POLE RESIDUES
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$   $0.46 \pm0.09$  
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$   $0.27 \pm0.05$  
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \eta}}$   $0.05 \pm0.03$  
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}}$   $0.26 \pm0.06$  
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$   $0.02 \pm0.02$  
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $0.04 \pm0.03$  
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$   $0.15 \pm0.07$  
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1750)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit S}{\mathrm -wave}$   $0.05 \pm0.03$  
${{\mathit \Sigma}{(1750)}}$ MASS   $1700\text{ to }1800\text{ }(\approx1750) $ MeV 
${{\mathit \Sigma}{(1750)}}$ WIDTH   $100\text{ to }200\text{ }(\approx150) $ MeV 
$\Gamma_{1}$ ${{\mathit N}}{{\overline{\mathit K}}}$  0.06 to 0.12 486
$\Gamma_{2}$ ${{\mathit \Lambda}}{{\mathit \pi}}$  $(14\pm{5})\%$ 507
$\Gamma_{3}$ ${{\mathit \Sigma}}{{\mathit \pi}}$  $(16\pm{4})\%$ 456
$\Gamma_{4}$ ${{\mathit \Sigma}}{{\mathit \eta}}$  15$-55\%$ 98
$\Gamma_{5}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$  $<1\%$ 305
$\Gamma_{6}$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$  $(2.0\pm{1.0})\%$ 175
$\Gamma_{7}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2  $(8\pm{4})\%$ -1
$\Gamma_{8}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$  -1