CONSTRAINED FIT INFORMATION show precise values?
 
A multiparticle fit to ${{\mathit B}^{\pm}}$, ${{\mathit \eta}_{{{c}}}{(1S)}}$, ${{\mathit J / \psi}{(1S)}}$, ${{\mathit \psi}{(2S)}}$ and ${{\mathit h}_{{{c}}}{(1P)}}$ with the total width, 10 combinations of partial widths obtained from integrated cross section, and 38 branching ratios uses 113 measurements to determine 19 parameters. The overall fit has a $\chi {}^{2}$ = 184.6 for 94 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, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.
 
 x253 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)}}$25       100
 x${{\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)}}$51             100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$53              100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$54               100
 x${{\mathit \eta}_{{{c}}}{(1S)}}$59                100
 x${{\mathit \psi}{(2S)}}$182                 100
 x${{\mathit J / \psi}{(1S)}}$237                  100
 Γ${{\mathit \eta}_{{{c}}}{(1S)}}$                   100
   x253  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)}}$25  x${{\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)}}$51  x${{\mathit \eta}_{{{c}}}{(1S)}}$53  x${{\mathit \eta}_{{{c}}}{(1S)}}$54  x${{\mathit \eta}_{{{c}}}{(1S)}}$59  x${{\mathit \psi}{(2S)}}$182  x${{\mathit J / \psi}{(1S)}}$237 Γ${{\mathit \eta}_{{{c}}}{(1S)}}$
 
    Mode RateScale factor
Γ253  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \eta}_{{{c}}}}{{\mathit K}^{+}}$ ($1.10$ $\pm0.07$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$1  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \eta}^{\,'}{(958)}}{{\mathit \pi}}{{\mathit \pi}}$ ($2.0$ $\pm0.4$) $ \times 10^{-2}$ 1.4
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$6  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}}{{\overline{\mathit K}}^{*}{(892)}}$ ($7.0$ $\pm1.2$) $ \times 10^{-3}$ 
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$9  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ ($1.8$ $\pm0.4$) $ \times 10^{-3}$ 2.3
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$16  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \omega}}$ ($2.7$ $\pm0.9$) $ \times 10^{-3}$ 2.1
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$18  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit f}_{{{2}}}{(1270)}}{{\mathit f}_{{{2}}}{(1270)}}$ ($1.08$ $\pm0.27$) $ \times 10^{-2}$ 
Γ${{\mathit h}_{{{c}}}{(1P)}}$25  ${{\mathit h}_{{{c}}}{(1P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \eta}_{{{c}}}{(1S)}}$ ($6.0$ $\pm0.4$) $ \times 10^{-1}$ 
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$37  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \pi}}$ ($7.1$ $\pm0.4$) $ \times 10^{-2}$ 1.1
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$38  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit \eta}}$ ($1.32$ $\pm0.15$) $ \times 10^{-2}$ 
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$41  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($8.3$ $\pm1.8$) $ \times 10^{-3}$ 1.9
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$45  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ 2( ${{\mathit K}^{+}}{{\mathit K}^{-}}$) ($1.4$ $\pm0.4$) $ \times 10^{-3}$ 1.4
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$48  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) ($9.6$ $\pm1.5$) $ \times 10^{-3}$ 1.4
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$51  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}$ ($1.33$ $\pm0.11$) $ \times 10^{-3}$ 1.1
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$53  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit p}}{{\overline{\mathit p}}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($3.7$ $\pm0.5$) $ \times 10^{-3}$ 
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$54  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \Lambda}}{{\overline{\mathit \Lambda}}}$ ($1.10$ $\pm0.28$) $ \times 10^{-3}$ 1.5
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$59  ${{\mathit \eta}_{{{c}}}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ ($1.66$ $\pm0.13$) $ \times 10^{-4}$ 1.2
Γ${{\mathit \psi}{(2S)}}$182  ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \eta}_{{{c}}}{(1S)}}$ ($3.6$ $\pm0.5$) $ \times 10^{-3}$ 1.3
Γ${{\mathit J / \psi}{(1S)}}$237  ${{\mathit J / \psi}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \eta}_{{{c}}}{(1S)}}$ ($1.41$ $\pm0.14$) $ \times 10^{-2}$ 1.3
Γ${{\mathit \eta}_{{{c}}}{(1S)}}$ ${{\mathit \eta}_{{{c}}}{(1S)}}$ WIDTH $30.5$ $\pm0.5$ (MeV) 1.2
 
An overall fit to and 21 branching ratios uses 66 measurements to determine 13 parameters. The overall fit has a $\chi {}^{2}$ = 68.7 for 53 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, $\mathit x_{i}$ = $\Gamma _{i}$ $/$ $\Gamma _{total}$.
 
 x7 100
 x10  100
 x54   100
 x111    100
 x153     100
 x294      100
 x299       100
 x317        100
 x329         100
 x369          100
 x430           100
 x616            100
 x623             100
   x7  x10  x54  x111  x153  x294  x299  x317  x329  x369  x430  x616  x623
 
    Mode Fraction (Γi / Γ)Scale factor
Γ7  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}^{*}{(2007)}^{0}}{{\mathit \ell}^{+}}{{\mathit \nu}_{{{{{\mathit \ell}}}}}}$ ($5.60$ $\pm0.26$) $ \times 10^{-2}$ 1.5
Γ10  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}^{*}{(2007)}^{0}}{{\mathit \tau}^{+}}{{\mathit \nu}_{{{\tau}}}}$ ($1.88$ $\pm0.20$) $ \times 10^{-2}$ 
Γ54  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}^{0}}{{\mathit \pi}^{+}}$ ($4.61$ $\pm0.10$) $ \times 10^{-3}$ 
Γ111  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}^{0}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ($5.5$ $\pm2.0$) $ \times 10^{-3}$ 3.6
Γ153  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}_{{{1}}}{(2420)}^{0}}{{\mathit \pi}^{+}}$ ${\times }$ B( ${{\overline{\mathit D}}_{{{1}}}^{0}}$ $\rightarrow$ ${{\overline{\mathit D}}^{0}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$)  ($2.5$ ${}^{+1.6}_{-1.4}$) $ \times 10^{-4}$ 3.8
Γ294  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit K}^{+}}$ ($1.020$ $\pm0.019$) $ \times 10^{-3}$ 
Γ299  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit K}^{*}{(892)}^{+}}$ ($1.43$ $\pm0.08$) $ \times 10^{-3}$ 
Γ317  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{+}}$ ($3.92$ $\pm0.09$) $ \times 10^{-5}$ 
Γ329  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \psi}{(2S)}}{{\mathit K}^{+}}$ ($6.24$ $\pm0.21$) $ \times 10^{-4}$ 
Γ369  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit \pi}^{+}}$ ($2.39$ $\pm0.06$) $ \times 10^{-5}$ 
Γ430  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\overline{\mathit K}}^{0}}$ ($1.32$ $\pm0.17$) $ \times 10^{-6}$ 1.2
Γ616  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ ($4.53$ $\pm0.35$) $ \times 10^{-7}$ 1.8
Γ623  ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}^{+}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ ($9.6$ $\pm1.0$) $ \times 10^{-7}$