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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   JSON  (beta) PDGID: B044

${{\mathit \Sigma}{(1670)}}$ $I(J^P)$ = $1(3/2^{-})$

For most results published before 1974 (they are now obsolete), see our 1982 edition Physics Letters 111B 1 (1982). Results from production experiments are listed separately in the next entry.

${{\mathit \Sigma}{(1670)}}$ POLE POSITION

REAL PART   $1655\text{ to }1675\text{ }(\approx1662) $ MeV

$-2{\times }$IMAGINARY PART   $45\text{ to }65\text{ }(\approx55) $ MeV

${{\mathit \Sigma}{(1670)}}$ POLE RESIDUES

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$   $0.10 \pm0.02$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$   $0.25 \pm0.05$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \pi}}$   $0.09 \pm0.03$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$   $0.02 \pm0.01$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \sigma}}$   $0.08 \pm0.03$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1405)}}{{\mathit \pi}}$   $0.03 \pm0.02$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $0.04 \pm0.02$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $0.01 \pm0.01$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\overline{\mathit K}}}$ , ${\mathit S}{\mathrm -wave}$   $0.01 \pm0.01$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit S}{\mathrm -wave}$   $0.05 \pm0.03$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$   $0.01 \pm0.01$

Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Sigma}{(1670)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit D}{\mathrm -wave}$   $0.03 \pm0.02$

${{\mathit \Sigma}{(1670)}}$ MASS   $1665\text{ to }1685\text{ }(\approx1675) $ MeV

${{\mathit \Sigma}{(1670)}}$ WIDTH   $40\text{ to }100\text{ }(\approx70) $ MeV

Decay Modes
Mode   Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/ Conf. Level P(MeV/c)   $\Gamma_{1}$ ${{\mathit N}}{{\overline{\mathit K}}}$   0.06 to 0.12 419   $\Gamma_{2}$ ${{\mathit \Lambda}}{{\mathit \pi}}$   5$-15\%$ 452   $\Gamma_{3}$ ${{\mathit \Sigma}}{{\mathit \pi}}$   30$-60\%$ 398   $\Gamma_{4}$ ${{\mathit \Lambda}}{{\mathit \pi}}{{\mathit \pi}}$   406   $\Gamma_{5}$ ${{\mathit \Sigma}}{{\mathit \pi}}{{\mathit \pi}}$   344   $\Gamma_{6}$ ${{\mathit \Sigma}}{{\mathit \sigma}}$   $(7.0\pm{3.0})\%$     $\Gamma_{7}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$   236   $\Gamma_{8}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$   236   $\Gamma_{9}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   236   $\Gamma_{10}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit D}{\mathrm -wave}$   -1   $\Gamma_{11}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit S}{\mathrm -wave}$   -1   $\Gamma_{12}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$   -1   $\Gamma_{13}$ ${{\mathit \Lambda}{(1405)}}{{\mathit \pi}}$   215   $\Gamma_{14}$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$   75
FOOTNOTES