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https://hdl.handle.net/2142/23985
Description
Title
The total muon polarization in Kμ3° meson decay
Author(s)
Abrams, Robert Jay
Issue Date
1966
Doctoral Committee Chair(s)
Wattenberg, A.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
total muon polarization
Kμ3° meson decay
spark chamber experiment
Argonne national laboratory zero gradient synchrotron
form factor ratio
Language
en
Abstract
A spark chamber experiment was performed at the Argonne National
Laboratory Zero Gradient Synchrotron to study the polarization of the
muon in the decay KL. The results of the test of time
reversal in variance and the value obtained for the form factor
ratio will be presented.
o . . 0 KL mesons, from the 31 neutral beam, decayed in vacuum in
a magnetic field. The momenta of the ~ and the ~ + particles were
measured by me,ans of foil spark chambers inside the magnet. A
kinematic reconstruction of the KLo decay was made for each event.
In the 1602 events selected, the muon passed through a
thick absorber, came to rest in a set of aluminum range spark chambers,
and decayed ( ~ + ~ e + + v + -v). The muon polarization was determined
from a study of the angular distribution of the decay positrons.
Due to a two-fold ambiguity in the kinematic reconstruction,
two methods were used to analyze the data. In the first method,
unambiguous events were selected; after correcting for efficiencies,
a least~squares analysis was performed on the positron angular
distributions. The three orthogonal components of the muon
polarization were obtained:
where PL, PT' and Pp are, respectivelY9 the components of polarization
along the muon momentum, transverse to the decay plane, and perpendicular
to the muon (in the decay plane); a is the analyzing
parameter of muon decay.
In terms of the form factor ratio , the results were
In the second method of analysis, a Monte Carlo calculation was
made to simulate the decay of the KLO meson followed by the decay of
the polarized muon. The kinematical ambiguity was treated such as
to enable a direct comparison to.lbe made between the Monte Carlo
sample and the actual data. }'The X2 analysis in terms of 5 was
performed,with the following results
The results of both method& yere consistent and in agreement
with time reversal invariance, which predicts. The values
obtained for Re ~ imply an energy dependence f6rtheform factors in
K~3 decay.
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