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Conclusions

The size of \( \Delta A \) has to be compared to the achieved statistical accuracies in order to decide if a correction of the asymmetries for dead-time is necessary. First of all the effect is only an issue for positive target polarization. For coincidence events in Gen98 we have the following situation:

Neutron:
Without applying any cuts we have roughly \( 6\cdot 10^{6} \) neutrons for the positive target polarization. Therefore in the best case we can achieve a statistical error of \( 1/\sqrt{6\cdot 10^{6}}=4\cdot 10^{-4}, \) which is 40 times larger than \( \Delta A. \) Applying the final cuts the number of neutrons is reduced to \( <1\cdot 10^{6} \) and the statistical error is \( \geq 1\cdot 10^{-3} \)and thus at least two orders of magnitudes larger than \( \Delta A. \)
Proton:
For the proton the numbers are \( 5.2\cdot 10^{7} \) (no cuts) and \( \leq 1\cdot 10^{7} \)(final cuts) leading to statistical errors of \( 2\cdot 10^{-4} \)(no cuts) and \( 3\cdot 10^{-4} \) (final cuts). This is still 20 times larger than the size of \( \Delta A. \)



 

Marko Zeier
2000-05-04