${{\mathit \Sigma}}$ 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

${{\boldsymbol \Sigma}{(2230)}}$

$I(J^P)$ = $1(3/2^{+})$ 
${{\boldsymbol \Sigma}{(2230)}}$ POLE POSITION
REAL PART   $2234 \pm25$ MeV 
 
$-2{\times }$IMAGINARY PART   $340 \pm50$ MeV 
 
${{\boldsymbol \Sigma}{(2230)}}$ POLE RESIDUES
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$   $0.07 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$   $0.03 \pm0.02$  
 
Normalized residue is ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}}$   $0.11 \pm0.05$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$   $0.04 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$   $0.12 \pm0.05$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $0.03 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $0.05 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $0.05 \pm0.03$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\overline{\mathit K}}}$ , ${\mathit P}{\mathrm -wave}$   $0.11 \pm0.04$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\overline{\mathit K}}}$ , ${\mathit F}{\mathrm -wave}$   $0.07 \pm0.03$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , S=1/2 , ${\mathit P}{\mathrm -wave}$   $0.08 \pm0.04$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , S=3/2 , ${\mathit P}{\mathrm -wave}$   $0.14 \pm0.03$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2230)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , S=3/2 , ${\mathit F}{\mathrm -wave}$   $0.05 \pm0.03$  
 
${{\mathit \Sigma}{(2230)}}$ MASS   $2240 \pm27$ MeV 
 
${{\mathit \Sigma}{(2230)}}$ WIDTH   $345 \pm50$ MeV 
 
$\Gamma_{1}$ ${{\mathit N}}{{\overline{\mathit K}}}$  $(6.0\pm{2.0})\%$ 844
 
$\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit \pi}}$  $(2.0\pm{1.0})\%$ 797
 
$\Gamma_{3}$ ${{\mathit \Lambda}}{{\mathit \pi}}$  $(12\pm{6})\%$ 835
 
$\Gamma_{4}$ ${{\mathit \Xi}}{{\mathit K}}$  $(2.0\pm{1.0})\%$ 615
 
$\Gamma_{5}$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$  $(14\pm{5})\%$ 594
 
$\Gamma_{6}$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$  594
 
$\Gamma_{7}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$  $(4\pm{4})\%$ 684
 
$\Gamma_{8}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$  $(3.0\pm{2.0})\%$ 684
 
$\Gamma_{9}$ ${{\mathit \Delta}}{{\overline{\mathit K}}}$ , ${\mathit P}{\mathrm -wave}$  $(14\pm{5})\%$ 674
 
$\Gamma_{10}$ ${{\mathit \Delta}}{{\overline{\mathit K}}}$ , ${\mathit F}{\mathrm -wave}$  $(8.0\pm{2.0})\%$ 674
 
$\Gamma_{11}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , S=1/2 , ${\mathit F}{\mathrm -wave}$  $(8.0\pm{3.0})\%$ 646
 
$\Gamma_{12}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , S=3/2 , ${\mathit F}{\mathrm -wave}$  $(26\pm{5})\%$ 646
 
FOOTNOTES