# CONSTRAINED FIT INFORMATIONshow precise values?

 A multiparticle fit to ${{\mathit \chi}_{{c0}}{(1P)}}$, ${{\mathit \chi}_{{c2}}{(1P)}}$, ${{\mathit \psi}{(2S)}}$ and ${{\mathit \chi}_{{c1}}{(1P)}}$ 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.

 x1 100 x2 100 x8 100 x30 100 x32 100 x36 100 x42 100 x43 100 x50 100 x55 100 x56 100 x69 100 x85 100 x89 100 Γ 100 x1 x2 x8 x30 x32 x36 x42 x43 x50 x55 x56 x69 x85 x89 Γ

 Mode Rate (MeV) Scale factor Γ1 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) $0.0234$ $\pm0.0018$ Γ2 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ $0.0091$ $\pm0.0029$ Γ8 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ $0.0181$ $\pm0.0014$ Γ30 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\overline{\mathit K}}^{*}{(892)}^{0}}{{\mathit \pi}^{-}}$ + c.c. $0.0075$ $\pm0.0016$ Γ32 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ $0.00851$ $\pm0.00033$ Γ36 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}}$ $0.00301$ $\pm0.00019$ Γ42 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ $0.00605$ $\pm0.00031$ Γ43 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$ $0.00316$ $\pm0.00017$ Γ50 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ $0.00282$ $\pm0.00029$ Γ55 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ ($8.0$ $\pm0.7$) $\times 10^{-4}$ Γ56 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($2.21$ $\pm0.08$) $\times 10^{-4}$ Γ69 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($3.27$ $\pm0.24$) $\times 10^{-4}$ Γ85 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ $0.0140$ $\pm0.0005$ Γ89 ${{\mathit \chi}_{{c0}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ ($2.04$ $\pm0.09$) $\times 10^{-4}$