is obtained from the product of the "raw" ratio
and the four correction factors
,
and
.
These are listed in Table 5.3.Combining all factors yields a value for the p -> e n ( g ) branching ratio of
Compare this with the currently accepted value of
[PDG 96].
The uncertainty of f-1 contributed significantly to the
overall uncertainty. Measurement of the p + -> p 0
e+ n rate relative to the p -> e n ( g ) rate
will not depend so heavily on the gate timing since the p 0
decays almost instantly (10-7 ns) making both processes of
interest happen on the time scale of the pion lifetime effectively making
.
.
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