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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

${{\mathit \Sigma}{(2230)}}$ $I(J^P)$ = $1(3/2^{+})$

${{\mathit \Sigma}{(2230)}}$ POLE POSITION

REAL PART   $2234 \pm25$ MeV

$-2{\times }$IMAGINARY PART   $340 \pm50$ MeV

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

${{\mathit \Sigma}{(2230)}}$ Decay Modes
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\overline{\mathit K}}}$   $(6.0\pm{2.0})\%$ 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