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LIGHT UNFLAVORED MESONS
($\boldsymbol S$ = $\boldsymbol C$ = $\boldsymbol B$ = 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 $\mathit I = 0$ (${{\mathit \eta}}$, ${{\mathit \eta}^{\,'}}$, ${{\mathit h}}$, ${{\mathit h}^{\,'}}$, ${{\mathit \omega}}$, ${{\mathit \phi}}$, ${{\mathit f}}$, ${{\mathit f}^{\,'}}$): ${\mathit {\mathit c}}_{{\mathrm {1}}}$( ${{\mathit u}}{{\overline{\mathit u}}}$ $+$ ${{\mathit d}}{{\overline{\mathit d}}}$ ) $+$ ${\mathit {\mathit c}}_{{\mathrm {2}}}$( ${{\mathit s}}{{\overline{\mathit s}}}$ )

${{\boldsymbol \pi}_{{2}}{(1670)}}$ $I^G(J^{PC})$ = $1^-(2^{- +})$

${{\mathit \pi}_{{2}}{(1670)}}$ MASS

$1670.6 {}^{+2.9}_{-1.2}$ MeV (S = 1.3)

${{\mathit \pi}_{{2}}{(1670)}}$ WIDTH

$258 {}^{+8}_{-9}$ MeV (S = 1.2)

${\mathit D}{\mathrm -wave}/{\mathit S}{\mathrm -wave}$ RATIO FOR ${{\mathit \pi}_{{2}}{(1670)}}$ $\rightarrow$ ${{\mathit f}_{{2}}{(1270)}}{{\mathit \pi}}$

$-0.18 \pm0.06$

${\mathit F}{\mathrm -wave}/{\mathit P}{\mathrm -wave}$ RATIO FOR ${{\mathit \pi}_{{2}}{(1670)}}$ $\rightarrow$ ${{\mathit \rho}}{{\mathit \pi}}$

$-0.72 \pm0.16$

Decay Modes

3 ${{\mathit \pi}}$

$(95.8\pm{1.4})\%$

${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$

${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$

${{\mathit f}_{{2}}{(1270)}}{{\mathit \pi}}$

$(56.3\pm{3.2})\%$

${{\mathit \rho}}{{\mathit \pi}}$

${{\mathit \sigma}}{{\mathit \pi}}$

${{\mathit \pi}}{({\mathit \pi}{\mathit \pi})_{{\mathit S}-{\text{wave}}}}$

$(8.7\pm{3.4})\%$

${{\mathit \pi}^{\pm}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

${{\mathit K}}{{\overline{\mathit K}}^{*}{(892)}}$ + c.c.

$(4.2\pm{1.4})\%$

${{\mathit \omega}}{{\mathit \rho}}$

$(2.7\pm{1.1})\%$

${{\mathit \pi}^{\pm}}{{\mathit \gamma}}$

$(7.0\pm{1.2})\times 10^{-4}$

${{\mathit \gamma}}{{\mathit \gamma}}$

$<2.8\times 10^{-7}$

${{\mathit \eta}}{{\mathit \pi}}$

${{\mathit \pi}^{\pm}}$2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$

${{\mathit \rho}{(1450)}}{{\mathit \pi}}$

$<3.6\times 10^{-3}$

${{\mathit b}_{{1}}{(1235)}}{{\mathit \pi}}$

$<1.9\times 10^{-3}$

${{\mathit \eta}}$3 ${{\mathit \pi}}$

${{\mathit f}_{{1}}{(1285)}}{{\mathit \pi}}$

${{\mathit a}_{{2}}{(1320)}}{{\mathit \pi}}$

constrained fit information