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Run time optimization

The statistical error is minimized for all kinematics to the same level. If the total time of data taking is $t_{tot}$, then the time for each kinematics and each polarization are shown in Table 3.


Table 3: Run time optimization for E99-117
kine # $x$ $\alpha$ $\beta$ $t_\parallel/t_{tot}$ $t_\perp/t_{tot}$
           
1 0.610 2.5554 0.5628 0.5385 0.1186
2 0.475 3.4869 0.8017 0.1497 0.03442
3 0.331 3.9670 0.6503 0.1364 0.02235

The total beam time (effective) is about 20 days, optimized data taking time and statistical error for each kinematics are shown in Tabel 4.



Table 4: Data taking run time optimization of E99-117
kine # t$_{\parallel}$ t$_{\perp}$ 6msr collimator open collimator
  (hours) (hours) N$_{\parallel}$ N$_{\perp}$ $\Delta A_1^{^3 \rm {He}}$ $\Delta A_1^{n}$ $\Delta A_1^{^3 \rm {He}}$ $\Delta A_1^{n}$
          (f = 0.95)   (f = 0.95)  
1 258.50 56.94 131258 28910 2.56% 7.68% 2.24% 6.72%
2 71.86 16.52 246329 56633 2.56% 7.68% 2.24% 6.72%
3 65.45 10.73 301727 49460 2.56% 7.68% 2.24% 6.72%



$\star$ The error of asymmetry is $\Delta A_1^{^3 \rm {He}}=\frac{1}{\sqrt{N}}/(P_bP_tf)=0.7792\%/(0.8\times 0.4\times 0.95)=2.56\%$;


next up previous contents
Next: Experiment Schedule Up: Kinematics, Rates and Schedule Previous: Estimation of rates and   Contents
Xiaochao Zheng 2001-06-09