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

INSPIRE   JSON  (beta) 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

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