# CONSTRAINED FIT INFORMATIONshow precise values?

 A multiparticle fit to ${{\mathit \psi}{(2S)}}$, ${{\mathit \chi}_{{c0}}{(1P)}}$, ${{\mathit \chi}_{{c1}}{(1P)}}$ and ${{\mathit \chi}_{{c2}}{(1P)}}$ with 4 total widths, partial width,25 combinations of particle width obtained from integrated cross section,84 branching ratios uses 248 measurements and one constraint to determine 49 parameters. The overall fit has a $\chi {}^{2}$ = 378.1 for 200 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.

 x6 100 x7 100 x8 100 x11 100 x12 100 x13 100 x21 100 x147 100 x148 100 x149 100 Γ 100 x6 x7 x8 x11 x12 x13 x21 x147 x148 x149 Γ

 Mode Rate (keV) Scale factor Γ6 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $0.00793$ $\pm0.00017$ Γ7 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ $0.0080$ $\pm0.0006$ Γ8 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$ $0.0031$ $\pm0.0004$ Γ11 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ $0.3468$ $\pm0.0030$ Γ12 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ $0.1824$ $\pm0.0031$ Γ13 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \eta}}$ $0.0337$ $\pm0.0005$ Γ21 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($2.94$ $\pm0.08$) $\times 10^{-4}$ Γ147 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{c0}}{(1P)}}$ $0.0979$ $\pm0.0020$ Γ148 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{c1}}{(1P)}}$ $0.0975$ $\pm0.0024$ Γ149 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{c2}}{(1P)}}$ $0.0952$ $\pm0.0020$