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 PDGID:
M068

${{\mathit f}_{{{0}}}{(1710)}}$

$I^G(J^{PC})$ = $0^+(0^{+ +})$ 
Evidence for two isoscalar scales, ${{\mathit f}_{{{0}}}{(1710)}}$ and ${{\mathit f}_{{{0}}}{(1810)}}$, was first reported by SARANTSEV 2021 and ABLIKIM 2022F. The data assignments to either ${{\mathit f}_{{{0}}}{(1710)}}$ or ${{\mathit f}_{{{0}}}{(1810)}}$ are tentative. See the review on "Spectroscopy of Light Meson Resonances."
${{\mathit f}_{{{0}}}{(1710)}}$ T-MATRIX POLE $\sqrt {\mathit s }$   $(1680 - 1820) − {\mit i} (50 - 180)$ MeV 
 
${{\mathit f}_{{{0}}}{(1710)}}$ Breit-Wigner MASS   $1723 {}^{+7}_{-6}$ MeV (S = 1.3)
 
${{\mathit f}_{{{0}}}{(1710)}}$ Breit-Wigner WIDTH   $149 \pm10$ MeV (S = 1.4)
 
$\Gamma_{1}$ ${{\mathit K}}{{\overline{\mathit K}}}$   seen 706
 
$\Gamma_{2}$ ${{\mathit \eta}}{{\mathit \eta}}$   seen 665
 
$\Gamma_{3}$ ${{\mathit \eta}}{{\mathit \eta}^{\,'}}$   not seen 407
 
$\Gamma_{4}$ ${{\mathit \pi}}{{\mathit \pi}}$   seen 851
 
$\Gamma_{5}$ ${{\mathit \gamma}}{{\mathit \gamma}}$   seen 862
 
$\Gamma_{6}$ ${{\mathit \omega}}{{\mathit \omega}}$   seen 360
 
FOOTNOTES