${{\mathit \Sigma}}$ 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

${{\boldsymbol \Sigma}{(1670)}}$

$I(J^P)$ = $1(3/2^{-})$ 
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.
${{\boldsymbol \Sigma}{(1670)}}$ POLE POSITION
REAL PART   $1655\text{ to }1675\text{ }(\approx1662) $ MeV 
 
$-2{\times }$IMAGINARY PART   $45\text{ to }65\text{ }(\approx55) $ MeV 
 
${{\boldsymbol \Sigma}{(1670)}}$ 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 
 
$\Gamma_{1}$ ${{\mathit N}}{{\overline{\mathit K}}}$  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
 
$\Gamma_{9}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit S}{\mathrm -wave}$  236
 
$\Gamma_{10}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$  236
 
$\Gamma_{11}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit D}{\mathrm -wave}$  -1
 
$\Gamma_{12}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit S}{\mathrm -wave}$  -1
 
$\Gamma_{13}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$  -1
 
$\Gamma_{14}$ ${{\mathit \Lambda}{(1405)}}{{\mathit \pi}}$  215
 
$\Gamma_{15}$ ${{\mathit \Lambda}{(1520)}}{{\mathit \pi}}$  75
 
FOOTNOTES