CONSTRAINED FIT INFORMATION show 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 partial widths obtained from integrated cross section, and 86 branching ratios uses 253 measurements and one constraint to determine 49 parameters. The overall fit has a $\chi {}^{2}$ = 389.6 for 205 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, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.
 
 x1 100
 x2  100
 x8   100
 x30    100
 x32     100
 x36      100
 x42       100
 x43        100
 x51         100
 x56          100
 x58           100
 x71            100
 x94             100
 x98              100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$1               100
 x${{\mathit \psi}{(2S)}}$7                100
 x${{\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}_{{{c1}}}{(1P)}}$19                         100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$20                          100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$25                           100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$26                            100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$31                             100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$32                              100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$33                               100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$42                                100
 x${{\mathit \chi}_{{{c1}}}{(1P)}}$48                                 100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$51                                  100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$56                                   100
 x${{\mathit \chi}_{{{c1}}}{(1P)}}$58                                    100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$69                                     100
 x${{\mathit \chi}_{{{c1}}}{(1P)}}$71                                      100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$94                                       100
 x${{\mathit \chi}_{{{c1}}}{(1P)}}$96                                        100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$98                                         100
 x${{\mathit \psi}{(2S)}}$111                                          100
 x${{\mathit \psi}{(2S)}}$179                                           100
 x${{\mathit \psi}{(2S)}}$180                                            100
 x${{\mathit \psi}{(2S)}}$181                                             100
 Γ${{\mathit \psi}{(2S)}}$                                              100
 Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$                                               100
 Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$                                                100
 Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$                                                 100
   x1  x2  x8  x30  x32  x36  x42  x43  x51  x56  x58  x71  x94  x98  x${{\mathit \chi}_{{{c2}}}{(1P)}}$1  x${{\mathit \psi}{(2S)}}$7  x${{\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}_{{{c1}}}{(1P)}}$19  x${{\mathit \chi}_{{{c2}}}{(1P)}}$20  x${{\mathit \chi}_{{{c2}}}{(1P)}}$25  x${{\mathit \chi}_{{{c2}}}{(1P)}}$26  x${{\mathit \chi}_{{{c2}}}{(1P)}}$31  x${{\mathit \chi}_{{{c2}}}{(1P)}}$32  x${{\mathit \chi}_{{{c2}}}{(1P)}}$33  x${{\mathit \chi}_{{{c2}}}{(1P)}}$42  x${{\mathit \chi}_{{{c1}}}{(1P)}}$48  x${{\mathit \chi}_{{{c2}}}{(1P)}}$51  x${{\mathit \chi}_{{{c2}}}{(1P)}}$56  x${{\mathit \chi}_{{{c1}}}{(1P)}}$58  x${{\mathit \chi}_{{{c2}}}{(1P)}}$69  x${{\mathit \chi}_{{{c1}}}{(1P)}}$71  x${{\mathit \chi}_{{{c2}}}{(1P)}}$94  x${{\mathit \chi}_{{{c1}}}{(1P)}}$96  x${{\mathit \chi}_{{{c2}}}{(1P)}}$98  x${{\mathit \psi}{(2S)}}$111  x${{\mathit \psi}{(2S)}}$179  x${{\mathit \psi}{(2S)}}$180  x${{\mathit \psi}{(2S)}}$181 Γ${{\mathit \psi}{(2S)}}$  Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$  Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$  Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$
 
    Mode RateScale factor
Γ1  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) ($2.3$ $\pm0.4$) $ \times 10^{-2}$ 2.0
Γ2  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($9.1$ $\pm3.1$) $ \times 10^{-3}$ 1.1
Γ8  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($1.82$ $\pm0.16$) $ \times 10^{-2}$ 1.2
Γ30  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\overline{\mathit K}}^{*}{(892)}^{0}}{{\mathit \pi}^{-}}$ + c.c. ($7.5$ $\pm1.6$) $ \times 10^{-3}$ 
Γ32  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ ($8.5$ $\pm0.4$) $ \times 10^{-3}$ 1.2
Γ36  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}}$ ($3.01$ $\pm0.25$) $ \times 10^{-3}$ 1.3
Γ42  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ ($6.07$ $\pm0.33$) $ \times 10^{-3}$ 1.1
Γ43  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$  ($3.17$ $\pm0.19$) $ \times 10^{-3}$ 1.1
Γ51  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($2.8$ $\pm0.4$) $ \times 10^{-3}$ 1.5
Γ56  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ ($8.48$ $\pm0.31$) $ \times 10^{-4}$ 
Γ58  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($2.21$ $\pm0.14$) $ \times 10^{-4}$ 1.6
Γ71  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($3.60$ $\pm0.17$) $ \times 10^{-4}$ 1.1
Γ94  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ ($1.41$ $\pm0.09$) $ \times 10^{-2}$ 1.7
Γ98  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ ($2.04$ $\pm0.10$) $ \times 10^{-4}$ 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$1  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) ($1.00$ $\pm0.13$) $ \times 10^{-2}$ 1.4
Γ${{\mathit \psi}{(2S)}}$7  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ ($7.94$ $\pm0.22$) $ \times 10^{-3}$ 1.3
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  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($34.69$ $\pm0.34$) $ \times 10^{-2}$ 1.1
Γ${{\mathit \psi}{(2S)}}$13  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ ($18.2$ $\pm0.5$) $ \times 10^{-2}$ 1.6
Γ${{\mathit \psi}{(2S)}}$14  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \eta}}$ ($3.37$ $\pm0.06$) $ \times 10^{-2}$ 1.2
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$14  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($8.3$ $\pm1.1$) $ \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. ($2.1$ $\pm1.0$) $ \times 10^{-3}$ 
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$18  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}^{0}}{{\overline{\mathit K}}^{*}{(892)}^{0}}$ ($2.2$ $\pm0.9$) $ \times 10^{-3}$ 2.3
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$19  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\overline{\mathit K}}^{0}}{{\mathit K}^{+}}{{\mathit \pi}^{-}}$ + c.c. ($7.0$ $\pm0.6$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$20  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ ($1.23$ $\pm0.07$) $ \times 10^{-3}$ 1.9
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$25  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ ($2.27$ $\pm0.10$) $ \times 10^{-3}$ 1.0
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$26  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($3.6$ $\pm1.5$) $ \times 10^{-3}$ 
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$31  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}}$ ($5.5$ $\pm0.5$) $ \times 10^{-4}$ 
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$32  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ ($1.02$ $\pm0.15$) $ \times 10^{-3}$ 2.3
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$33  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$  ($5.3$ $\pm0.4$) $ \times 10^{-4}$ 
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$42  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\overline{\mathit K}}^{0}}{{\mathit K}^{+}}{{\mathit \pi}^{-}}$ + c.c. ($1.30$ $\pm0.19$) $ \times 10^{-3}$ 
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$48  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($5.4$ $\pm1.1$) $ \times 10^{-4}$ 
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$51  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($1.67$ $\pm0.22$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$56  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($7.3$ $\pm0.4$) $ \times 10^{-5}$ 1.1
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$58  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($7.6$ $\pm0.4$) $ \times 10^{-5}$ 1.2
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$69  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($1.86$ $\pm0.16$) $ \times 10^{-4}$ 
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$71  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($1.27$ $\pm0.09$) $ \times 10^{-4}$ 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$94  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ ($19.5$ $\pm0.8$) $ \times 10^{-2}$ 1.5
Γ${{\mathit \chi}_{{{c1}}}{(1P)}}$96  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ ($34.3$ $\pm1.3$) $ \times 10^{-2}$ 1.3
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$98  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ ($2.92$ $\pm0.12$) $ \times 10^{-4}$ 1.3
Γ${{\mathit \psi}{(2S)}}$111  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($2.94$ $\pm0.09$) $ \times 10^{-4}$ 1.3
Γ${{\mathit \psi}{(2S)}}$179  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{{c0}}}{(1P)}}$ ($9.77$ $\pm0.23$) $ \times 10^{-2}$ 1.1
Γ${{\mathit \psi}{(2S)}}$180  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{{c1}}}{(1P)}}$ ($9.75$ $\pm0.27$) $ \times 10^{-2}$ 1.1
Γ${{\mathit \psi}{(2S)}}$181  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{{c2}}}{(1P)}}$ ($9.36$ $\pm0.23$) $ \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 $0.84$ $\pm0.04$ (MeV) 1.1
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$ ${{\mathit \chi}_{{{c2}}}{(1P)}}$ WIDTH $1.98$ $\pm0.09$ (MeV) 1.1
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$ ${{\mathit \chi}_{{{c0}}}{(1P)}}$ WIDTH $10.7$ $\pm0.6$ (MeV) 1.1