Pion correlations as a function of atomic mass in heavy ion collisions Page: 81 of 130
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Chapter 7
Results from the Correlation
Function Fits
7.1 Presentation of the Data
The data (both the real counts and the background, or reference sample, counts) were
histogrammed as a function of qi, ql and qb. The fits were made using these three
dimensional histograms. Displaying the fits in the obvious fashion of fixing, for example,
ql, qg and showing the data as a function of qp has two features. The first is that there
would be 252 = 625 such displays, the second is that most of the bins in any given
display would be empty, both from limited statistics and from the acceptance limits of
the spectrometer in Q space.1
Therefore, averages are made over (again, for example) the qI - q1 plane, at a given
value of qb, to display averages of the quantities as a function of qo. By using each of the
three variables (ql1, q1 and eq) in turn, Ohree displays are made showing the data and the
fitted correlation function projected onto each of the coordinate axes. Note that these are
averages weighted by the spectrometer's acceptance - the projections of the data and
the fitted correlation function are both distorted by the acceptance.
The definition of the data points in the projection (Ck) is
Ck- _.r" 1 R 'k (7.1)
D - idot Bija
'There is, in addition, the physical constraint that for particle pairs, 91 +qL > 40.71
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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/m1/81/: accessed July 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.