The Lifetime and Decay Modes of Negative K Mesons Page: 35 of 55
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- - 0
K +n w + A
- 0 0
for pion energies up to 100 Mev and for K meson energies from
5 to 150 Mev, taking into account scattering of the pion in the nucleus.
These curves are roughly the same and agree with the spectrum of
pions observed by them. The curve used here is their curve for
A r production plotted against momentum and made to decrease linearly
to zero at 395 Mev/c, the maximum pion momentum obtainable at the
K -meson energies under consideration. The shape of this curve
beyond 100 Mev (195 Mev/c) and the maximum momentum are not
critical oince the lower energies are more probable and the probabilities
involved are smalL in relation Lu those of the decay modes with which
they are being compared. This is borne out by the decaylike interactions
observed in this study. One further piece of information is available
for those events whose secondaries left the stack without having suffered
nuclear scatterings and could therefore be pions or muons. The
probability of a pion's traveling a distance x in emulsion without
interacting with a nucleus is e x/, where X is the mean free
path. Therefore, the relative probabilities for the pionmode should
be multiplied by the factor e / (1 + e ), and those for the
muon by 1/(1. + e -x/ ). Since the mean free path in emulsion for
a muon scattering greater than 7 deg is 18 meters, this possibility
can be neglected. A similar argument hulds for events consistant
with the Ke3 mode. An electron is recognized by its characteristic
energy loss and scattering. The radiation length in emulsion, 2.91 cm,
has been taken here as a mean free path for an identifying energy loss
by an-electron. The areas under the product curves multiplied by
the appropriate distance factors are then normalized to unit total
probability to give the P.. presented in Table III. The distribution
of the decaylike events is then given by the totals .(p. .38). from Table
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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/m1/35/: accessed April 22, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.