${{\mathit \Lambda}}$ BARYONS
($\mathit S$ = $-1$, $\mathit I$ = 0)
${{\mathit \Lambda}^{0}}$ = ${\mathit {\mathit u}}$ ${\mathit {\mathit d}}$ ${\mathit {\mathit s}}$
INSPIRE   JSON PDGID:
B056

${{\mathit \Lambda}{(1830)}}$

$I(J^P)$ = $0(5/2^{-})$ 
For results published before 1973 (they are now obsolete), see our 1982 edition Physics Letters 111B 1 (1982). The best evidence for this resonance is in the ${{\mathit \Sigma}}{{\mathit \pi}}$ channel.
${{\mathit \Lambda}{(1830)}}$ POLE POSITION
REAL PART   $1800\text{ to }1860\text{ }(\approx1830) $ MeV 
 
$-2{\times }$IMAGINARY PART   $50\text{ to }80\text{ }(\approx65) $ MeV 
 
${{\mathit \Lambda}{(1830)}}$ POLE RESIDUES
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}}$   $0.055 \pm0.010$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit \pi}}$   $0.15 \pm0.03$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \eta}}$
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit \Xi}}{{\mathit K}}$   $0.010 \pm0.005$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $0.10 \pm0.04$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit G}{\mathrm -wave}$   $0.03 \pm0.02$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2 , ${\mathit D}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2 , ${\mathit D}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2 , ${\mathit G}{\mathrm -wave}$
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \omega}}$ , $\mathit S$=1/2 , ${\mathit D}{\mathrm -wave}$   $0.04 \pm0.03$  
 
Normalized residue in ${{\mathit N}}$ ${{\overline{\mathit K}}}$ $\rightarrow$ ${{\mathit \Lambda}{(1830)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\mathit \omega}}$ , $\mathit S$=3/2 , ${\mathit D}{\mathrm -wave}$   $0.05 \pm0.03$  
 
${{\mathit \Lambda}{(1830)}}$ MASS   $1820\text{ to }1830\text{ }(\approx1825) $ MeV 
 
${{\mathit \Lambda}{(1830)}}$ WIDTH   $60\text{ to }120\text{ }(\approx90) $ MeV 
 
$\Gamma_{1}$ ${{\mathit N}}{{\overline{\mathit K}}}$   0.04 to 0.08 549
 
$\Gamma_{2}$ ${{\mathit \Sigma}}{{\mathit \pi}}$   35$-75\%$ 512
 
$\Gamma_{3}$ ${{\mathit \Xi}}{{\mathit K}}$   109
 
$\Gamma_{4}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$   $>15\%$ 370
 
$\Gamma_{5}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$   $(40\pm{15})\%$ S=3.2  370
 
$\Gamma_{6}$ ${{\mathit \Sigma}{(1385)}}{{\mathit \pi}}$ , ${\mathit G}{\mathrm -wave}$   370
 
$\Gamma_{7}$ ${{\mathit \Lambda}}{{\mathit \eta}}$   357
 
$\Gamma_{8}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=1/2, ${\mathit D}{\mathrm -wave}$   -1
 
$\Gamma_{9}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$   -1
 
$\Gamma_{10}$ ${{\mathit N}}{{\overline{\mathit K}}^{*}{(892)}}$ , $\mathit S$=3/2, ${\mathit G}{\mathrm -wave}$   -1
 
FOOTNOTES