# CONSTRAINED FIT INFORMATIONshow precise values?

 An overall fit to total width, partial width, 2 combinations of particle width obtained from integrated cross section,19 branching ratios uses 51 measurements and one constraint to determine 9 parameters. The overall fit has a $\chi {}^{2}$ = 69.4 for 43 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 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \eta}}$ $0.425$ $\pm0.005$ Γ2 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \gamma}}$ (including non-resonant ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \gamma}}$) $0.295$ $\pm0.004$ Γ4 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ $0.224$ $\pm0.005$ Γ5 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \gamma}}$ $0.0252$ $\pm0.0007$ Γ7 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ $0.02307$ $\pm0.00033$ Γ8 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ $0.00250$ $\pm0.00017$ Γ11 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ $0.00361$ $\pm0.00017$ Γ22 ${{\mathit \eta}^{\,'}{(958)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit e}^{+}}{{\mathit e}^{-}}$ $0.0024$ ${}^{+0.0013}_{-0.0010}$