The Lifetime and Decay Modes of Negative K Mesons Page: 38 of 55
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efficiency for finding the secondaries'from decaylike events: First,
the scanner knows there is a secondary from the muon decay, whereas
the K meson in flight may or may not have a secondary. Second,
the decay point of the muon is well defined, while that of the K meson
in flight may be several microns from the last blob. Additionally,
the electron from muon decay is at plateau.ionization, which is
approximately 15% above minimum. It is difficult to estimate how
much these effect s and the lower minimum blob density decrease
the efficiency for.detecting. secondaries.
One estimate of a lower limit to the number of missed decay
secondaries may be made from the angular distribution 'of those
detected. Figure 10 shows the distribution of the cosine of the angle
between the K meson and the secondary in the center-of-mass system
for all of the two-body decays. These, of course, would be expected
to be isotropic, and decay secondaries missed would most probably
be those of. K or K 2 since they contribute the majority of decays
F2 . Z 2
and their secondaries are lighter in ionization. A X test gives a
probability less than 0.02 Lhat.a uniform distribution would give
deviations larger than shown in Fig. 10. Eight decays added in the
region -0.5< cos 0.< 0 would make this distribution uniform. The
secondaries in the region -0.5< cos 0 <.0.5 are those most likely
to be missed because those with cos. 0 less than -0.5 will be emitted
more slowly in the lab system and hence have a higher grain density,
while those with cos 0 >0.5 will tend to be flat.
Figure 11 shows the dip-angle distribution of those secondaries
emitted with a c.m. angle between -60 deg and 60 deg. Again,
within statistics, we would expect an even distribution from -9.0 to
+90 deg. Although there are fewer events in this group, a definite
bias for detecting secondaries with dip angles between +30.and -3.0
deg is evident. Here too, approximately eight additional events with
dip angles steeper than 30 deg would be. required for axial symmetry.
As mentioned before, these estimates would be lower limits to the
number of missing decay secondaries, as they are made with the
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Nickols, N. A. The Lifetime and Decay Modes of Negative K Mesons, thesis or dissertation, September 1, 1959; United States. (https://digital.library.unt.edu/ark:/67531/metadc1015953/m1/38/: accessed April 21, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.