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 Rate Scale 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