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
 x153         100
 x154          100
 x155           100
 Γ            100
   x6  x7  x8  x11  x12  x13  x21  x153  x154  x155 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}$ 
Γ153  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{c0}}{(1P)}}$  $0.0979$ $\pm0.0020$ 
Γ154  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{c1}}{(1P)}}$  $0.0975$ $\pm0.0024$ 
Γ155  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{c2}}{(1P)}}$  $0.0952$ $\pm0.0020$