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, 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, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.
 
 x19 100
 x48  100
 x58   100
 x71    100
 x96     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}_{{{c2}}}{(1P)}}$25                    100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$26                     100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$30                      100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$31                       100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$32                        100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$32                         100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$33                          100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$36                           100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$42                            100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$42                             100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$43                              100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$51                               100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$51                                100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$56                                 100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$56                                  100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$58                                   100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$69                                    100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$71                                     100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$94                                      100
 x${{\mathit \chi}_{{{c2}}}{(1P)}}$94                                       100
 x${{\mathit \chi}_{{{c0}}}{(1P)}}$98                                        100
 x${{\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
   x19  x48  x58  x71  x96  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}_{{{c2}}}{(1P)}}$25  x${{\mathit \chi}_{{{c2}}}{(1P)}}$26  x${{\mathit \chi}_{{{c0}}}{(1P)}}$30  x${{\mathit \chi}_{{{c2}}}{(1P)}}$31  x${{\mathit \chi}_{{{c0}}}{(1P)}}$32  x${{\mathit \chi}_{{{c2}}}{(1P)}}$32  x${{\mathit \chi}_{{{c2}}}{(1P)}}$33  x${{\mathit \chi}_{{{c0}}}{(1P)}}$36  x${{\mathit \chi}_{{{c2}}}{(1P)}}$42  x${{\mathit \chi}_{{{c0}}}{(1P)}}$42  x${{\mathit \chi}_{{{c0}}}{(1P)}}$43  x${{\mathit \chi}_{{{c0}}}{(1P)}}$51  x${{\mathit \chi}_{{{c2}}}{(1P)}}$51  x${{\mathit \chi}_{{{c2}}}{(1P)}}$56  x${{\mathit \chi}_{{{c0}}}{(1P)}}$56  x${{\mathit \chi}_{{{c0}}}{(1P)}}$58  x${{\mathit \chi}_{{{c2}}}{(1P)}}$69  x${{\mathit \chi}_{{{c0}}}{(1P)}}$71  x${{\mathit \chi}_{{{c0}}}{(1P)}}$94  x${{\mathit \chi}_{{{c2}}}{(1P)}}$94  x${{\mathit \chi}_{{{c0}}}{(1P)}}$98  x${{\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
Γ19  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\overline{\mathit K}}^{0}}{{\mathit K}^{+}}{{\mathit \pi}^{-}}$ + c.c. ($7.0$ $\pm0.6$) $ \times 10^{-3}$ 1.1
Γ48  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($5.4$ $\pm1.1$) $ \times 10^{-4}$ 
Γ58  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($7.6$ $\pm0.4$) $ \times 10^{-5}$ 1.2
Γ71  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($1.27$ $\pm0.09$) $ \times 10^{-4}$ 1.1
Γ96  ${{\mathit \chi}_{{{c1}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ ($34.3$ $\pm1.3$) $ \times 10^{-2}$ 1.3
Γ${{\mathit \chi}_{{{c2}}}{(1P)}}$1  ${{\mathit \chi}_{{{c2}}}{(1P)}}$ $\rightarrow$ 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) ($1.00$ $\pm0.13$) $ \times 10^{-2}$ 1.4
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$1  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) ($2.3$ $\pm0.4$) $ \times 10^{-2}$ 2.0
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$2  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($9.1$ $\pm3.1$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \psi}{(2S)}}$7  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ ($7.94$ $\pm0.22$) $ \times 10^{-3}$ 1.3
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$8  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($1.82$ $\pm0.16$) $ \times 10^{-2}$ 1.2
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}_{{{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}_{{{c0}}}{(1P)}}$30  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\overline{\mathit K}}^{*}{(892)}^{0}}{{\mathit \pi}^{-}}$ + c.c. ($7.5$ $\pm1.6$) $ \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}_{{{c0}}}{(1P)}}$32  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ ($8.5$ $\pm0.4$) $ \times 10^{-3}$ 1.2
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}_{{{c0}}}{(1P)}}$36  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \eta}}$ ($3.01$ $\pm0.25$) $ \times 10^{-3}$ 1.3
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}_{{{c0}}}{(1P)}}$42  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ ($6.07$ $\pm0.33$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$43  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$  ($3.17$ $\pm0.19$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$51  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ ($2.8$ $\pm0.4$) $ \times 10^{-3}$ 1.5
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}_{{{c0}}}{(1P)}}$56  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ ($8.48$ $\pm0.31$) $ \times 10^{-4}$ 
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$58  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($2.21$ $\pm0.14$) $ \times 10^{-4}$ 1.6
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}_{{{c0}}}{(1P)}}$71  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($3.60$ $\pm0.17$) $ \times 10^{-4}$ 1.1
Γ${{\mathit \chi}_{{{c0}}}{(1P)}}$94  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit J / \psi}{(1S)}}$ ($1.41$ $\pm0.09$) $ \times 10^{-2}$ 1.7
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}_{{{c0}}}{(1P)}}$98  ${{\mathit \chi}_{{{c0}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ ($2.04$ $\pm0.10$) $ \times 10^{-4}$ 1.1
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