Pion correlations as a function of atomic mass in heavy ion collisions Page: 44 of 130
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CHAPTER 5. TRACK FINDING AND PARTICLE IDENTIFICATION
y
d2
S3
6ldi d3
N1
se
N3 N2
Figure 5.1: A triangle in a wire chamber.
to the left for non-horizontal wires, or up for horizontal wires, as drawn. The (signed)
distance from the center of the wire chamber (which is taken as the origin) to the wire is(5.1)
so the wire is given by i such that
(5.2)
A "cross" is defined as the intersection of two wires. The location of a cross is a simul-
taneous solution to two of Eq. 5.2 for the two different planes of wires. In component
notation this is (z, y) such thatxnzm + ynsi = wi(Ni - C1)
Znf2 + yny2 = w2(N2 - C2)(5.3)
(5.4)Assuming that
na nli # 0 (5.5)
Sns2 ny2
otherwise the wires are parallel, and none of the wire chambers in this experiment have
different planes with parallel wires, the matrix can then be inverted and z and y are given34
di = wi( Ni - Ci )
F-Ai = wi{Ni -Ci)
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Chacon, A.D. Pion correlations as a function of atomic mass in heavy ion collisions, report, November 26, 1989; Berkeley, California. (https://digital.library.unt.edu/ark:/67531/metadc1055804/m1/44/: accessed July 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.