${{\mathit \Sigma}}$ 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

${{\boldsymbol \Sigma}{(2160)}}$

$I(J^P)$ = $1(1/2^{-})$ 
${{\boldsymbol \Sigma}{(2160)}}$ POLE POSITION
REAL PART   $2158 \pm25$ MeV 
 
$-2{\times }$IMAGINARY PART   $300 {}^{+300}_{-60}$ MeV 
 
${{\boldsymbol \Sigma}{(2160)}}$ POLE RESIDUES
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2160)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$   $0.29 \pm0.08$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2160)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$   $0.14 \pm0.04$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2160)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}}$   $0.39 \pm0.08$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2160)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$   $0.05 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2160)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$   $0.025 \pm0.015$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2160)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$   $0.03 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2160)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\overline{\mathit K}}}$   $0.04 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2160)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , ${\mathit S}{\mathrm -wave}$   $0.09 \pm0.03$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2160)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , ${\mathit D}{\mathrm -wave}$   $0.04 \pm0.03$  
 
${{\mathit \Sigma}{(2160)}}$ MASS   $2105 \pm50$ MeV (S = 3.4)
 
${{\mathit \Sigma}{(2160)}}$ WIDTH   $313 {}^{+120}_{-50}$ MeV 
 
$\Gamma_{1}$ ${{\mathit N}}{{\overline{\mathit K}}}$  $(29\pm{7})\%$ 754
 
$\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit \pi}}$  $(7.0\pm{2.0})\%$ 708
 
$\Gamma_{3}$ ${{\mathit \Lambda}}{{\mathit \pi}}$  $(54\pm{12})\%$ 749
 
$\Gamma_{4}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , ${\mathit S}{\mathrm -wave}$  $(3.0\pm{1.0})\%$ 520
 
$\Gamma_{5}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , ${\mathit D}{\mathrm -wave}$  520
 
FOOTNOTES