A detailed study on the range fluctuations of 10^11eV to 10^18eV muons in water and the fluctuations of the Cherenkov light yields due to the accompanied cascade showers initiated by muons. Part1: High Energy Muons
arxiv(2011)
摘要
The validity of our Monte Carlo simulation procedure (the time sequential
procedure) had been verified by the corresponding analytical procedure which is
independent of our method methodologically. Also, the results obtained by our
procedure are compared with those obtained by the different Monte Carlo
simulation procedure (the v_cut procedure) which has been exclusively
utilized by different authors and the agreement between ours and theirs are
found to be good. By utilizing our Monte Carlo procedure, the validity of which
is guaranteed in two different procedures, we investigate not only the
fluctuation of high energy muons themselves but also the fluctuation of the
various quantities related to the energy losses by the muons, which are
difficult to obtain by the v_cut procedure. Namely, we obtain the fluctuation
on energy losses of muons in the present paper(Part1). In a subsequent paper
(Part2), based on the idea developed in Part1, we will examine the correlation
between the primary energies of muons and their energy deposits and the
correlation between the energy deposits of the muons concerned and their
Cherenkov light yields in the KM3 detector in detail.
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