${{\mathit \Lambda}}$ BARYONS
($\mathit S$ = $-1$, $\mathit I$ = 0)
${{\mathit \Lambda}^{0}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit s}}$
INSPIRE   JSON PDGID:
B039

${{\mathit \Lambda}{(1820)}}$

$I(J^P)$ = $0(5/2^{+})$ 
This resonance is the cornerstone for all partial-wave analyses in this region. Most of the results published before 1973 are now obsolete and have been omitted. They may be found in our 1982 edition Physics Letters 111B 1 (1982).
${{\mathit \Lambda}{(1820)}}$ POLE POSITION
REAL PART   $1812\text{ to }1825\text{ }(\approx1818) $ MeV 
 
$-2{\times }$IMAGINARY PART   $75\text{ to }80\text{ }(\approx77) $ MeV 
 
${{\mathit \Lambda}{(1820)}}$ POLE RESIDUES
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1820)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$   $0.60 \pm0.12$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1820)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$   $0.34 \pm0.07$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1820)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \eta}}$
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1820)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1820)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   $0.07 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1820)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $0.11 \pm0.04$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1820)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2 , ${\mathit F}{\mathrm -wave}$   $0.02 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1820)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2 , ${\mathit P}{\mathrm -wave}$   $0.35 \pm0.15$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1820)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2 , ${\mathit F}{\mathrm -wave}$   $0.02 \pm0.02$  
 
${{\mathit \Lambda}{(1820)}}$ MASS   $1815\text{ to }1825\text{ }(\approx1820) $ MeV 
 
${{\mathit \Lambda}{(1820)}}$ WIDTH   $70\text{ to }90\text{ }(\approx80) $ MeV 
 
$\Gamma_{1}$ ${{\mathit N}}{{\overline{\mathit K}}}$   55$-65\%$ 545
 
$\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit \pi}}$   8$-14\%$ 509
 
$\Gamma_{3}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$   5$-10\%$ 366
 
$\Gamma_{4}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit P}{\mathrm -wave}$   366
 
$\Gamma_{5}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit F}{\mathrm -wave}$   $(2.0\pm{1.0})\%$ 366
 
$\Gamma_{6}$ ${{\mathit \Lambda}}{{\mathit \eta}}$   351
 
$\Gamma_{7}$ ${{\mathit \Xi}}{{\mathit K}}$   91
 
$\Gamma_{8}$ ${{\mathit \Sigma}}{{\mathit \pi}}{{\mathit \pi}}$   469
 
$\Gamma_{9}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit F}{\mathrm -wave}$   -1
 
$\Gamma_{10}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit P}{\mathrm -wave}$   $(3.0\pm{1.0})\%$ -1
 
$\Gamma_{11}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit F}{\mathrm -wave}$   -1
 
FOOTNOTES