CONSTRAINED FIT INFORMATION show precise values?
A multiparticle fit to ${{\mathit \psi}{(2S)}}$, ${{\mathit \eta}_{{{c}}}{(1S)}}$, ${{\mathit J / \psi}{(1S)}}$, ${{\mathit B}^{\pm}}$ and ${{\mathit h}_{{{c}}}{(1P)}}$ with the total width, 10 combinations of partial widths obtained from integrated cross section, and 38 branching ratios uses 115 measurements to determine 19 parameters. The overall fit has a $\chi {}^{2}$ = 215.4 for 96 degrees of freedom.
 
 
The following off-diagonal array elements are the correlation coefficients <$\mathit \delta $p$_{i}\delta $p$_{j}$> $/$ ($\mathit \delta $p$_{i}\cdot{}\delta $p$_{j}$), in percent, from the fit to parameters ${{\mathit p}_{{{i}}}}$, including the branching fractions, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.
 
 x199 100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$1  100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$6   100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$9    100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$16     100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$18      100
 x${{\mathit h}_{{{c}}}{(1P)}}$30       100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$37        100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$38         100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$41          100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$45           100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$48            100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$52             100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$54              100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$55               100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$60                100
 x${{\mathit J / \psi}{(1S)}}$248                 100
 x${{\mathit B}^{\pm}}$274                  100
 Γ${{\mathit \eta}_{{{c}}}{(1S)}}$                   100
   x199  x${{\mathit \eta}_{{{c}}}{(1S)}}$1  x${{\mathit \eta}_{{{c}}}{(1S)}}$6  x${{\mathit \eta}_{{{c}}}{(1S)}}$9  x${{\mathit \eta}_{{{c}}}{(1S)}}$16  x${{\mathit \eta}_{{{c}}}{(1S)}}$18  x${{\mathit h}_{{{c}}}{(1P)}}$30  x${{\mathit \eta}_{{{c}}}{(1S)}}$37  x${{\mathit \eta}_{{{c}}}{(1S)}}$38  x${{\mathit \eta}_{{{c}}}{(1S)}}$41  x${{\mathit \eta}_{{{c}}}{(1S)}}$45  x${{\mathit \eta}_{{{c}}}{(1S)}}$48  x${{\mathit \eta}_{{{c}}}{(1S)}}$52  x${{\mathit \eta}_{{{c}}}{(1S)}}$54  x${{\mathit \eta}_{{{c}}}{(1S)}}$55  x${{\mathit \eta}_{{{c}}}{(1S)}}$60  x${{\mathit J / \psi}{(1S)}}$248  x${{\mathit B}^{\pm}}$274 Γ${{\mathit \eta}_{{{c}}}{(1S)}}$
 
    Mode RateScale factor
Γ199 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \eta}_{{{c}}}{(1S)}}$ ($3.6$ $\pm0.5$) $ \times 10^{-3}$ 1.3
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$1 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \eta}^{\,'}{(958)}}{{\mathit \pi}}{{\mathit \pi}}$ ($1.59$ $\pm0.34$) $ \times 10^{-2}$ 1.7
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$6 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}}{{\overline{\mathit K}}^{*}{(892)}}$ ($5.5$ $\pm1.1$) $ \times 10^{-3}$ 1.2
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$9 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ ($1.4$ $\pm0.4$) $ \times 10^{-3}$ 2.9
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$16 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \omega}}$ ($2.1$ $\pm0.8$) $ \times 10^{-3}$ 2.4
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$18 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit f}_{{{2}}}{(1270)}}{{\mathit f}_{{{2}}}{(1270)}}$ ($8.4$ $\pm2.4$) $ \times 10^{-3}$ 1.2
Γ${{\mathit h}_{{{c}}}{(1P)}}$30 ${{\mathit h}_{{{c}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \eta}_{{{c}}}{(1S)}}$ ($64$ $\pm5$) $ \times 10^{-2}$ 1.2
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$37 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \pi}}$ ($5.9$ $\pm0.5$) $ \times 10^{-2}$ 1.8
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$38 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \eta}}$ ($1.11$ $\pm0.15$) $ \times 10^{-2}$ 1.3
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$41 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($6.7$ $\pm1.8$) $ \times 10^{-3}$ 2.4
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$45 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ 2( ${{\mathit K}^{+}}{{\mathit K}^{-}}$) ($1.2$ $\pm0.4$) $ \times 10^{-3}$ 1.6
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$48 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) ($7.5$ $\pm1.3$) $ \times 10^{-3}$ 1.6
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$52 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($1.11$ $\pm0.12$) $ \times 10^{-3}$ 1.4
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$54 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($3.4$ $\pm0.5$) $ \times 10^{-3}$ 1.2
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$55 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($9.4$ $\pm1.8$) $ \times 10^{-4}$ 1.2
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$60 ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ ($2.13$ $\pm0.15$) $ \times 10^{-4}$ 1.5
Γ${{\mathit J / \psi}{(1S)}}$248 ${{\mathit J / \psi}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \eta}_{{{c}}}{(1S)}}$ ($1.82$ $\pm0.15$) $ \times 10^{-2}$ 1.6
Γ${{\mathit B}^{\pm}}$274 ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \eta}_{{{c}}}}{{\mathit K}^{+}}$ ($1.20$ $\pm0.08$) $ \times 10^{-3}$ 1.3
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$ ${{\mathit \eta}_{{{c}}}{(1S)}}$ WIDTH $30.0$ $\pm0.5$ (MeV) 1.2
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, 27 combinations of partial widths obtained from integrated cross section, and 87 branching ratios uses 263 measurements and one constraint to determine 50 parameters. The overall fit has a $\chi {}^{2}$ = 435.4 for 214 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, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.
 
 x7 100
 x8  100
 x9   100
 x12    100
 x13     100
 x14      100
 x119       100
 x196        100
 x197         100
 x198          100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$1           100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$1            100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$2             100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$8              100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$14               100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$17                100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$18                 100
 x${{\mathit \chi}_{{{c1}}}{(1P)}}$19                  100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$20                   100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$22                    100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$25                     100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$26                      100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$31                       100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$32                        100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$33                         100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$33                          100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$34                           100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$37                            100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$43                             100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$43                              100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$44                               100
 x${{\mathit \chi}_{{{c1}}}{(1P)}}$50                                100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$53                                 100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$53                                  100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$60                                   100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$60                                    100
 x${{\mathit \chi}_{{{c1}}}{(1P)}}$62                                     100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$62                                      100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$79                                       100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$81                                        100
 x${{\mathit \chi}_{{{c1}}}{(1P)}}$81                                         100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$107                                          100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$107                                           100
 x${{\mathit \chi}_{{{c1}}}{(1P)}}$109                                            100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$111                                             100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$111                                              100
 Γ${{\mathit \psi}{(2S)}}$                                               100
 Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$                                                100
 Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$                                                 100
 Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$                                                  100
   x7  x8  x9  x12  x13  x14  x119  x196  x197  x198  x${{\mathit \chi}_{{{c2}}}{(1P)}}$1  x${{\mathit \chi}_{{{c0}}}{(1P)}}$1  x${{\mathit \chi}_{{{c0}}}{(1P)}}$2  x${{\mathit \chi}_{{{c0}}}{(1P)}}$8  x${{\mathit \chi}_{{{c2}}}{(1P)}}$14  x${{\mathit \chi}_{{{c2}}}{(1P)}}$17  x${{\mathit \chi}_{{{c2}}}{(1P)}}$18  x${{\mathit \chi}_{{{c1}}}{(1P)}}$19  x${{\mathit \chi}_{{{c2}}}{(1P)}}$20  x${{\mathit \chi}_{{{c0}}}{(1P)}}$22  x${{\mathit \chi}_{{{c2}}}{(1P)}}$25  x${{\mathit \chi}_{{{c2}}}{(1P)}}$26  x${{\mathit \chi}_{{{c0}}}{(1P)}}$31  x${{\mathit \chi}_{{{c2}}}{(1P)}}$32  x${{\mathit \chi}_{{{c0}}}{(1P)}}$33  x${{\mathit \chi}_{{{c2}}}{(1P)}}$33  x${{\mathit \chi}_{{{c2}}}{(1P)}}$34  x${{\mathit \chi}_{{{c0}}}{(1P)}}$37  x${{\mathit \chi}_{{{c2}}}{(1P)}}$43  x${{\mathit \chi}_{{{c0}}}{(1P)}}$43  x${{\mathit \chi}_{{{c0}}}{(1P)}}$44  x${{\mathit \chi}_{{{c1}}}{(1P)}}$50  x${{\mathit \chi}_{{{c0}}}{(1P)}}$53  x${{\mathit \chi}_{{{c2}}}{(1P)}}$53  x${{\mathit \chi}_{{{c2}}}{(1P)}}$60  x${{\mathit \chi}_{{{c0}}}{(1P)}}$60  x${{\mathit \chi}_{{{c1}}}{(1P)}}$62  x${{\mathit \chi}_{{{c0}}}{(1P)}}$62  x${{\mathit \chi}_{{{c2}}}{(1P)}}$79  x${{\mathit \chi}_{{{c0}}}{(1P)}}$81  x${{\mathit \chi}_{{{c1}}}{(1P)}}$81  x${{\mathit \chi}_{{{c0}}}{(1P)}}$107  x${{\mathit \chi}_{{{c2}}}{(1P)}}$107  x${{\mathit \chi}_{{{c1}}}{(1P)}}$109  x${{\mathit \chi}_{{{c0}}}{(1P)}}$111  x${{\mathit \chi}_{{{c2}}}{(1P)}}$111 Γ${{\mathit \psi}{(2S)}}$  Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$  Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$  Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$
 
    Mode RateScale factor
Γ7 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ ($7.95$ $\pm0.22$) $ \times 10^{-3}$ 1.3
Γ8 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ ($8.0$ $\pm0.6$) $ \times 10^{-3}$ 
Γ9 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$ ($3.1$ $\pm0.4$) $ \times 10^{-3}$ 
Γ12 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($34.78$ $\pm0.33$) $ \times 10^{-2}$ 1.1
Γ13 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ ($18.3$ $\pm0.5$) $ \times 10^{-2}$ 1.6
Γ14 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \eta}}$ ($3.38$ $\pm0.06$) $ \times 10^{-2}$ 1.2
Γ119 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($2.95$ $\pm0.09$) $ \times 10^{-4}$ 1.3
Γ196 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{{c0}}}{(1P)}}$ ($10.06$ $\pm0.27$) $ \times 10^{-2}$ 1.4
Γ197 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{{c1}}}{(1P)}}$ ($9.85$ $\pm0.26$) $ \times 10^{-2}$ 1.2
Γ198 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{{c2}}}{(1P)}}$ ($9.63$ $\pm0.23$) $ \times 10^{-2}$ 1.2
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$1 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) ($1.11$ $\pm0.07$) $ \times 10^{-2}$ 1.2
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$1 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) ($2.10$ $\pm0.10$) $ \times 10^{-2}$ 1.2
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$2 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($8.2$ $\pm2.6$) $ \times 10^{-3}$ 
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$8 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($1.73$ $\pm0.15$) $ \times 10^{-2}$ 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$14 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($8.4$ $\pm1.1$) $ \times 10^{-3}$ 1.2
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$17 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\overline{\mathit K}}^{*}{(892)}^{0}}{{\mathit \pi}^{-}}$ + c.c. ($2.1$ $\pm1.1$) $ \times 10^{-3}$ 
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$18 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}^{0}}{{\overline{\mathit K}}^{*}{(892)}^{0}}$ ($2.3$ $\pm0.9$) $ \times 10^{-3}$ 2.1
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$19 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\overline{\mathit K}}^{0}}{{\mathit K}^{+}}{{\mathit \pi}^{-}}$ + c.c. ($6.9$ $\pm0.6$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$20 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ ($1.22$ $\pm0.07$) $ \times 10^{-3}$ 1.6
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$22 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ ($8.6$ $\pm0.9$) $ \times 10^{-3}$ 
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$25 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ ($2.33$ $\pm0.06$) $ \times 10^{-3}$ 1.2
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$26 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($3.9$ $\pm1.6$) $ \times 10^{-3}$ 
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$31 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\overline{\mathit K}}^{*}{(892)}^{0}}{{\mathit \pi}^{-}}$ + c.c. ($7.0$ $\pm1.5$) $ \times 10^{-3}$ 
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$32 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}}$ ($5.4$ $\pm0.4$) $ \times 10^{-4}$ 
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$33 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ ($8.76$ $\pm0.26$) $ \times 10^{-3}$ 1.4
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$33 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ ($1.16$ $\pm0.05$) $ \times 10^{-3}$ 1.7
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$34 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$  ($5.2$ $\pm0.4$) $ \times 10^{-4}$ 
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$37 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}}$ ($2.94$ $\pm0.22$) $ \times 10^{-3}$ 1.2
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$43 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\overline{\mathit K}}^{0}}{{\mathit K}^{+}}{{\mathit \pi}^{-}}$ + c.c. ($1.27$ $\pm0.18$) $ \times 10^{-3}$ 
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$43 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ ($6.15$ $\pm0.19$) $ \times 10^{-3}$ 1.4
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$44 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$  ($3.08$ $\pm0.18$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$50 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($5.3$ $\pm1.1$) $ \times 10^{-4}$ 
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$53 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($2.7$ $\pm0.4$) $ \times 10^{-3}$ 1.5
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$53 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($1.64$ $\pm0.22$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$60 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($8.06$ $\pm0.33$) $ \times 10^{-5}$ 1.6
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$60 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ ($8.3$ $\pm0.4$) $ \times 10^{-4}$ 1.1
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$62 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($7.97$ $\pm0.29$) $ \times 10^{-5}$ 1.3
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$62 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($2.35$ $\pm0.12$) $ \times 10^{-4}$ 1.9
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$79 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($1.81$ $\pm0.16$) $ \times 10^{-4}$ 
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$81 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($3.50$ $\pm0.17$) $ \times 10^{-4}$ 1.1
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$81 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($1.26$ $\pm0.09$) $ \times 10^{-4}$ 1.1
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$107 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ ($1.35$ $\pm0.09$) $ \times 10^{-2}$ 1.8
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$107 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ ($19.0$ $\pm0.8$) $ \times 10^{-2}$ 1.5
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$109 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ ($33.9$ $\pm1.2$) $ \times 10^{-2}$ 1.3
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$111 ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ ($1.96$ $\pm0.08$) $ \times 10^{-4}$ 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$111 ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ ($2.88$ $\pm0.10$) $ \times 10^{-4}$ 1.1
Γ${{\mathit \psi}{(2S)}}$ ${{\mathit \psi}{(2S)}}$ WIDTH $293$ $\pm9$ (keV) 1.2
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$ ${{\mathit \chi}_{{{c1}}}{(1P)}}$ WIDTH $0.82$ $\pm0.04$ (MeV) 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$ ${{\mathit \chi}_{{{c2}}}{(1P)}}$ WIDTH $1.94$ $\pm0.09$ (MeV) 1.1
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$ ${{\mathit \chi}_{{{c0}}}{(1P)}}$ WIDTH $12.40$ $\pm0.27$ (MeV) 1.6
A multiparticle fit to ${{\mathit \psi}{(2S)}}$ and ${{\mathit \eta}_{{{c}}}{(2S)}}$ with 4 branching ratios uses 5 measurements to determine 3 parameters. The overall fit has a $\chi {}^{2}$ = 2.6 for 2 degrees of freedom.
 
 
The following off-diagonal array elements are the correlation coefficients <$\mathit \delta $p$_{i}\delta $p$_{j}$> $/$ ($\mathit \delta $p$_{i}\cdot{}\delta $p$_{j}$), in percent, from the fit to parameters ${{\mathit p}_{{{i}}}}$, including the branching fractions, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.
 
 x200 100
 x${{\mathit \eta}_{{{c}}}{(2S)}}$2  100
 x${{\mathit \eta}_{{{c}}}{(2S)}}$3   100
   x200  x${{\mathit \eta}_{{{c}}}{(2S)}}$2  x${{\mathit \eta}_{{{c}}}{(2S)}}$3
 
    Mode Fraction (Γi / Γ)Scale factor
Γ200 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \eta}_{{{c}}}{(2S)}}$ ($5.4$ ${}^{+3.4}_{-2.9}$) $ \times 10^{-4}$ 
Γ${{\mathit \eta}_{{{c}}}{(2S)}}$2 ${{\mathit \eta}_{{{c}}}{(2S)}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \pi}}$ ($1.9$ ${}^{+1.2}_{-1.0}$) $ \times 10^{-2}$ 
Γ${{\mathit \eta}_{{{c}}}{(2S)}}$3 ${{\mathit \eta}_{{{c}}}{(2S)}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \eta}}$ ($7$ ${}^{+5}_{-4}$) $ \times 10^{-3}$