# CONSTRAINED FIT INFORMATIONshow precise values?

 An overall fit to total width, partial width, 2 combinations of particle width obtained from integrated cross section,16 branching ratios uses 46 measurements and one constraint to determine 9 parameters. The overall fit has a $\chi {}^{2}$ = 62.7 for 38 degrees of freedom.

The following off-diagonal array elements are the correlation coefficients <$\mathit \delta$x$_{i}$~$\delta$x$_{j}$> $/$ ($\mathit \delta$x$_{i}\cdot{}\delta$x$_{j}$), in percent, from the fit to parameters ${{\mathit p}_{{i}}}$, including the branching fractions, $\mathit x_{i}$ =$\Gamma _{i}$ $/$ $\Gamma _{total}$. The fit constrains the ${{\mathit x}_{{i}}}$ whose labels appear in this array to sum to one.

 x1 100 x2 100 x4 100 x5 100 x7 100 x8 100 x11 100 x22 100 Γ 100 x1 x2 x4 x5 x7 x8 x11 x22 Γ

 Mode Rate (MeV) Scale factor Γ1 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \eta}}$ $0.084$ $\pm0.004$ Γ2 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \gamma}}$ (including non-resonant ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \gamma}}$) $0.0567$ $\pm0.0027$ Γ4 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ $0.0448$ $\pm0.0023$ Γ5 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \gamma}}$ $0.00514$ $\pm0.00035$ Γ7 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ $0.00436$ $\pm0.00013$ Γ8 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ ($5.0$ $\pm0.4$) $\times 10^{-4}$ Γ11 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ ($7.1$ $\pm0.5$) $\times 10^{-4}$ Γ22 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit e}^{+}}{{\mathit e}^{-}}$ ($4.6$ ${}^{+2.5}_{-1.9}$) $\times 10^{-4}$