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:
M015

${{\mathit \rho}_{{3}}{(1690)}}$

$I^G(J^{PC})$ = $1^+(3^{- -})$ 
${{\mathit \rho}_{{3}}{(1690)}}$ MASS
Mass $\mathit m$   $1688.8 \pm2.1$ MeV 
 
2 ${{\mathit \pi}}$ MODE   $1686 \pm4$ MeV 
 
${{\mathit K}}{{\overline{\mathit K}}}$ AND ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \pi}}$ MODES   $1696 \pm4$ MeV 
 
(4${{\mathit \pi}}){}^{+-}$ MODE   $1686 \pm5$ MeV (S = 1.1)
 
${{\mathit \omega}}{{\mathit \pi}}$ MODE   $1681 \pm7$ MeV 
 
${{\mathit \eta}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ MODE   $1682 \pm12$ MeV 
 
${{\mathit \rho}_{{3}}{(1690)}}$ WIDTH
2 ${{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , AND ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \pi}}$ MODES   $161 \pm10$ MeV (S = 1.5)
 
2${{\mathit \pi}}$ MODE   $186 \pm14$ MeV (S = 1.3)
 
${{\mathit K}}{{\overline{\mathit K}}}$ AND ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \pi}}$ MODES   $204 \pm18$ MeV 
 
(4${{\mathit \pi}}){}^{+-}$ MODE   $129 \pm10$ MeV 
 
${{\mathit \omega}}{{\mathit \pi}}$ MODE   $190 \pm40$ MeV 
 
${{\mathit \eta}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ MODE   $126 \pm40$ MeV (S = 1.8)
 
$\Gamma_{1}$ 4 ${{\mathit \pi}}$   $(71.1\pm{1.9})\%$ 790
 
$\Gamma_{2}$ ${{\mathit \pi}^{\pm}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$   $(67\pm{22})\%$ 787
 
$\Gamma_{3}$ ${{\mathit \omega}}{{\mathit \pi}}$   $(16\pm{6})\%$ 655
 
$\Gamma_{4}$ ${{\mathit \pi}}{{\mathit \pi}}$   $(23.6\pm{1.3})\%$ 834
 
$\Gamma_{5}$ ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \pi}}$   $(3.8\pm{1.2})\%$ 629
 
$\Gamma_{6}$ ${{\mathit K}}{{\overline{\mathit K}}}$   $(1.58\pm{0.26})\%$ S=1.2  685
 
$\Gamma_{7}$ ${{\mathit \eta}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$   seen 727
 
$\Gamma_{8}$ ${{\mathit \rho}{(770)}}{{\mathit \eta}}$   seen 520
 
$\Gamma_{9}$ ${{\mathit \pi}}{{\mathit \pi}}{{\mathit \rho}}$   seen 633
 
$\Gamma_{10}$ ${{\mathit a}_{{2}}{(1320)}}{{\mathit \pi}}$   seen 307
 
$\Gamma_{11}$ ${{\mathit \rho}}{{\mathit \rho}}$   seen 335
 
$\Gamma_{12}$ ${{\mathit \phi}}{{\mathit \pi}}$   525
 
$\Gamma_{13}$ ${{\mathit \eta}}{{\mathit \pi}}$   749
 
$\Gamma_{14}$ ${{\mathit \pi}^{\pm}}$2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$   694
 
FOOTNOTES
Constrained Fit information