LIGHT UNFLAVORED MESONS
($\mathit S$ = $\mathit C$ = $\mathit B$ = 0)
For $\mathit I = 1$ (${{\mathit \pi}}$, ${{\mathit b}}$, ${{\mathit \rho}}$, ${{\mathit a}}$): ${\mathit {\mathit u}}$ ${\mathit {\overline{\mathit d}}}$, ( ${\mathit {\mathit u}}$ ${\mathit {\overline{\mathit u}}}−$ ${\mathit {\mathit d}}$ ${\mathit {\overline{\mathit d}}})/\sqrt {2 }$, ${\mathit {\mathit d}}$ ${\mathit {\overline{\mathit u}}}$;
for $\mathit I = 0$ (${{\mathit \eta}}$, ${{\mathit \eta}^{\,'}}$, ${{\mathit h}}$, ${{\mathit h}^{\,'}}$, ${{\mathit \omega}}$, ${{\mathit \phi}}$, ${{\mathit f}}$, ${{\mathit f}^{\,'}}$): ${\mathit {\mathit c}}_{{\mathrm {1}}}$( ${{\mathit u}}{{\overline{\mathit u}}}$ $+$ ${{\mathit d}}{{\overline{\mathit d}}}$ ) $+$ ${\mathit {\mathit c}}_{{\mathrm {2}}}$( ${{\mathit s}}{{\overline{\mathit s}}}$ ) 		INSPIRE   JSON  (beta) PDGID:
M014

${{\mathit f}_{{0}}{(500)}}$

$I^G(J^{PC})$ = $0^+(0^{+ +})$ 

also known as ${{\mathit \sigma}}$; was ${{\mathit f}_{{0}}{(600)}}$, ${{\mathit f}_{{0}}{(400-1200)}}$
See related review:
Scalar Mesons below 1 GeV
${{\mathit f}_{{0}}{(500)}}$ T-MATRIX POLE $\sqrt {\mathit s }$   $(400 - 550)−{\mit i}(200 - 350)$ MeV 
 
${{\mathit f}_{{0}}{(500)}}$ BREIT-WIGNER MASS   $400\text{ to }800 $ MeV 
 
${{\mathit f}_{{0}}{(500)}}$ BREIT-WIGNER WIDTH   $100\text{ to }800 $ MeV 
 
$\Gamma_{1}$ ${{\mathit \pi}}{{\mathit \pi}}$   seen  
 
$\Gamma_{2}$ ${{\mathit \gamma}}{{\mathit \gamma}}$   seen  
 
FOOTNOTES