The Lifetime and Decay Modes of Negative K Mesons Page: 21 of 55
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Decay Kinematics
The kinematics of-the decay of a charged particle. into one
charged and one neutral particle are described by the equation
2 2 2
E1E2 - P1P2 cos 6 = C,- C = 1/2 .(M +. M2 M)
where the subscripts 1 and 2 refer to the. primary and the charged
secondary respectively, 0 is the laboratory-system angle between
their directions, E is the total energy of a particle and P its momentum,
and C is. a function of the masses of. the three particles. T.o aid -in
the analysis, curves of P2.as a function of 6 at constant P1 were
drawn for the K2, K2, K3, and K . modes and are shown in
Appendix I. For the- three-body decays these curves give the maximum
momentum. of the -secondary. . A program was written for the IBM
650 which computes the. space angle and its total error from the. angle
measurements, and from this space angle and from the K-meson
momentum and the error on-the K-meson momentum; it computes the
secondary momentum for a given decay mode together with its total
error.
Ionization Measurements
A special microscope with.a motor-driven stage and an- electronic
data tabulator were built to aid the ionization measurements in this
work. This device tabulates the blob density, density of gaps greater
than a preset length, and the lacunarity (or linear transparency) on one
traversal of the track. It is described more fully in Appendix II.
Secondaries that left the stack or interacted in flight were blob-
counted.for at. least 1000 counts as-near the end of their range-as
possible to determine their momenta at the decay point. A calibration
of blob density as a function of residual range was made with.stopping
Tr.mesons, and the minimum blob density in each pellicle used for
counting was established by using secondaries of the identified two-
.body decays-near their decay point.- Minimum blob density varied-
from .14 to 19 blobs. per .100. microns in the 2B stack. The blob density
(in units of minimum blob .density as a function of pion residual range)
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Nickols, Norris A. The Lifetime and Decay Modes of Negative K Mesons, thesis or dissertation, September 1, 1959; Berkeley, California. (https://digital.library.unt.edu/ark:/67531/metadc1015953/m1/21/: accessed March 29, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.