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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

${{\mathit \Sigma}{(2030)}}$ $I(J^P)$ = $1(7/2^{+})$

Discovered by COOL 1966 and by WOHL 1966 . For most results published before 1974 (they are now obsolete), see our 1982 edition Physics Letters 111B 1 (1982). This entry only includes results from partial-wave analyses. Parameters of peaks seen in cross sections and invariant-mass distributions around 2030 MeV may be found in our 1984 edition, Reviews of Modern Physics 56 S1 (1984).

${{\mathit \Sigma}{(2030)}}$ POLE POSITION

REAL PART   $2010\text{ to }2030\text{ }(\approx2020) $ MeV

$-2{\times }$IMAGINARY PART   $130\text{ to }190\text{ }(\approx160) $ MeV

${{\mathit \Sigma}{(2030)}}$ POLE RESIDUES

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$   $0.20 \pm0.04$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$   $0.07 \pm0.02$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}}$   $0.18 \pm0.04$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$   $0.01 \pm0.01$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $0.04 \pm0.03$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit H}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $0.03 \pm0.02$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit G}{\mathrm -wave}$   $0.02 \pm0.02$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\overline{\mathit K}}}$ , ${\mathit F}{\mathrm -wave}$   $0.16 \pm0.06$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\overline{\mathit K}}}$ , ${\mathit H}{\mathrm -wave}$   $0.04 \pm0.02$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2 , ${\mathit F}{\mathrm -wave}$   $0.02 \pm0.02$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2 , ${\mathit F}{\mathrm -wave}$   $0.16 \pm0.09$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(2030)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2 , ${\mathit H}{\mathrm -wave}$

${{\mathit \Sigma}{(2030)}}$ MASS   $2025\text{ to }2040\text{ }(\approx2030) $ MeV

${{\mathit \Sigma}{(2030)}}$ WIDTH   $150\text{ to }200\text{ }(\approx180) $ MeV

${{\mathit \Sigma}{(2030)}}$ Decay Modes
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\overline{\mathit K}}}$   17$-23\%$ 702   $\Gamma_{2}$ ${{\mathit \Lambda}}{{\mathit \pi}}$   17$-23\%$ 700   $\Gamma_{3}$ ${{\mathit \Sigma}}{{\mathit \pi}}$   5$-10\%$ 657   $\Gamma_{4}$ ${{\mathit \Xi}}{{\mathit K}}$   $<2\%$ 422   $\Gamma_{5}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$   5$-15\%$ 532   $\Gamma_{6}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $(1.0\pm{1.0})\%$ 532   $\Gamma_{7}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit H}{\mathrm -wave}$   532   $\Gamma_{8}$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$   10$-20\%$ 431   $\Gamma_{9}$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   431   $\Gamma_{10}$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit G}{\mathrm -wave}$   431   $\Gamma_{11}$ ${{\mathit \Delta}{(1232)}}{{\overline{\mathit K}}}$   10$-20\%$ 498   $\Gamma_{12}$ ${{\mathit \Delta}{(1232)}}{{\overline{\mathit K}}}$ , ${\mathit F}{\mathrm -wave}$   $(15\pm{5})\%$ 498   $\Gamma_{13}$ ${{\mathit \Delta}{(1232)}}{{\overline{\mathit K}}}$ , ${\mathit H}{\mathrm -wave}$   $(1.0\pm{1.0})\%$ 498   $\Gamma_{14}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$   439   $\Gamma_{15}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit F}{\mathrm -wave}$   439   $\Gamma_{16}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit F}{\mathrm -wave}$   $(14\pm{8})\%$ 439   $\Gamma_{17}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit H}{\mathrm -wave}$   439   $\Gamma_{18}$ ${{\mathit \Lambda}{(1820)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   152
FOOTNOTES