The Lifetime and Decay Modes of Negative K Mesons Page: 32 of 55
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columns 3 through 6 of Table I. Column 7 lists the measured momenta
of the secondaries derived from the information in columns 10 and 11
of Table I for all possible identities of the secondary. For the first
nineteen events listed the secondary is identified by the information
given in column 8 of Table I. . Four of the secondaries left the stack
a short distance from the decay point,, with ionization near the plateau,
and therefore could be electrons. All of these were too steep for
multiple -scattering measurements. Column .8 of Table .II lists the
modes with which the event is consistent, with the most probable
mode listed.first. As can be seen, most of the events are .consistent
with more than one mode, and in addition each.event whose secondary
could be a pion is a possible nuclear interaction.
To determine the distribution of the decaylike events' among
the modes considered -- K , K 3, K2, Kw3, Ke3, and nuclear
interaction -- a probability matrix, P,. of which an element P.. gives
the relative probability that the ith event belongs to the jth mode, was
derived and normalized to M.P.. = 1. Then Z. P.. is the population
.3 13 j1
of the jth.mode. ..The .P.. were. determined graphically as shown
in Fig. 8 -by plotting for each event the. computed secondary momenta
for the relevant modes from columns 2 through 6 of Table II. The
two-body momenta were plotted as normal.probability curves and the
three-body. spectra were approximated by means of triangles with
maximum probability at two-thirds of the maximum momentum. On
the same graph.the probability distributions of momentum from the
measurements on. the secondary (columns 8 and 9 of Table II) were
drawn. All curves were normalized to unit area. .Product curves
of the ordinates of the computed and measured. momenta curves
were drawn, and the areas.under these determine the relative prob-
abilities of. the modes. The spectrum used for the -i~ from nuclear
interactions in flight is that shown in.Fig. 9.. Eisenberg et al. 22
have calculated the spectrum of w~ expected from the in-flight interactions
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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/m1/32/: accessed April 24, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.