CONSTRAINED FIT INFORMATION show precise values?
A multiparticle fit to ${{\mathit \chi}_{{{c1}}}{(1P)}}$, ${{\mathit \chi}_{{{c0}}}{(1P)}}$, ${{\mathit \chi}_{{{c2}}}{(1P)}}$ and ${{\mathit \psi}{(2S)}}$ 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, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.
 
 x19 100
 x50  100
 x62   100
 x81    100
 x109     100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$1      100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$1       100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$2        100
 x${{\mathit \psi}{(2S)}}$7         100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$8          100
 x${{\mathit \psi}{(2S)}}$8           100
 x${{\mathit \psi}{(2S)}}$9            100
 x${{\mathit \psi}{(2S)}}$12             100
 x${{\mathit \psi}{(2S)}}$13              100
 x${{\mathit \psi}{(2S)}}$14               100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$14                100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$17                 100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$18                  100
 x${{\mathit \chi}_{{{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}_{{{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}_{{{c0}}}{(1P)}}$62                                    100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$79                                     100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$81                                      100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$107                                       100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$107                                        100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$111                                         100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$111                                          100
 x${{\mathit \psi}{(2S)}}$119                                           100
 x${{\mathit \psi}{(2S)}}$196                                            100
 x${{\mathit \psi}{(2S)}}$197                                             100
 x${{\mathit \psi}{(2S)}}$198                                              100
 Γ${{\mathit \psi}{(2S)}}$                                               100
 Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$                                                100
 Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$                                                 100
 Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$                                                  100
   x19  x50  x62  x81  x109  x${{\mathit \chi}_{{{c2}}}{(1P)}}$1  x${{\mathit \chi}_{{{c0}}}{(1P)}}$1  x${{\mathit \chi}_{{{c0}}}{(1P)}}$2  x${{\mathit \psi}{(2S)}}$7  x${{\mathit \chi}_{{{c0}}}{(1P)}}$8  x${{\mathit \psi}{(2S)}}$8  x${{\mathit \psi}{(2S)}}$9  x${{\mathit \psi}{(2S)}}$12  x${{\mathit \psi}{(2S)}}$13  x${{\mathit \psi}{(2S)}}$14  x${{\mathit \chi}_{{{c2}}}{(1P)}}$14  x${{\mathit \chi}_{{{c2}}}{(1P)}}$17  x${{\mathit \chi}_{{{c2}}}{(1P)}}$18  x${{\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}_{{{c0}}}{(1P)}}$53  x${{\mathit \chi}_{{{c2}}}{(1P)}}$53  x${{\mathit \chi}_{{{c2}}}{(1P)}}$60  x${{\mathit \chi}_{{{c0}}}{(1P)}}$60  x${{\mathit \chi}_{{{c0}}}{(1P)}}$62  x${{\mathit \chi}_{{{c2}}}{(1P)}}$79  x${{\mathit \chi}_{{{c0}}}{(1P)}}$81  x${{\mathit \chi}_{{{c0}}}{(1P)}}$107  x${{\mathit \chi}_{{{c2}}}{(1P)}}$107  x${{\mathit \chi}_{{{c0}}}{(1P)}}$111  x${{\mathit \chi}_{{{c2}}}{(1P)}}$111  x${{\mathit \psi}{(2S)}}$119  x${{\mathit \psi}{(2S)}}$196  x${{\mathit \psi}{(2S)}}$197  x${{\mathit \psi}{(2S)}}$198 Γ${{\mathit \psi}{(2S)}}$  Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$  Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$  Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$
 
    Mode RateScale factor
Γ19 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\overline{\mathit K}}^{0}}{{\mathit K}^{+}}{{\mathit \pi}^{-}}$ + c.c. ($6.9$ $\pm0.6$) $ \times 10^{-3}$ 1.1
Γ50 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($5.3$ $\pm1.1$) $ \times 10^{-4}$ 
Γ62 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($7.97$ $\pm0.29$) $ \times 10^{-5}$ 1.3
Γ81 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($1.26$ $\pm0.09$) $ \times 10^{-4}$ 1.1
Γ109 ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ ($33.9$ $\pm1.2$) $ \times 10^{-2}$ 1.3
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 \psi}{(2S)}}$7 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ ($7.95$ $\pm0.22$) $ \times 10^{-3}$ 1.3
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 \psi}{(2S)}}$8 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ ($8.0$ $\pm0.6$) $ \times 10^{-3}$ 
Γ${{\mathit \psi}{(2S)}}$9 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$ ($3.1$ $\pm0.4$) $ \times 10^{-3}$ 
Γ${{\mathit \psi}{(2S)}}$12 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($34.78$ $\pm0.33$) $ \times 10^{-2}$ 1.1
Γ${{\mathit \psi}{(2S)}}$13 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ ($18.3$ $\pm0.5$) $ \times 10^{-2}$ 1.6
Γ${{\mathit \psi}{(2S)}}$14 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \eta}}$ ($3.38$ $\pm0.06$) $ \times 10^{-2}$ 1.2
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}_{{{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}_{{{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}_{{{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}_{{{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}_{{{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)}}$119 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($2.95$ $\pm0.09$) $ \times 10^{-4}$ 1.3
Γ${{\mathit \psi}{(2S)}}$196 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{{c0}}}{(1P)}}$ ($10.06$ $\pm0.27$) $ \times 10^{-2}$ 1.4
Γ${{\mathit \psi}{(2S)}}$197 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{{c1}}}{(1P)}}$ ($9.85$ $\pm0.26$) $ \times 10^{-2}$ 1.2
Γ${{\mathit \psi}{(2S)}}$198 ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{{c2}}}{(1P)}}$ ($9.63$ $\pm0.23$) $ \times 10^{-2}$ 1.2
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