Life to Death: A Lifetime Study of a Muon By: Adam Blake, Ben Orkiszewski, Sarah Watzman, Ben Zerhusen AFFILIATED WITH THE UNIVERSITY OF CINCINNATI. RESULTS. BACKGROUND. MATERIALS AND METHODS. COSMIC RAYS Originate from the sun and deep space
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By: Adam Blake, Ben Orkiszewski, Sarah Watzman, Ben Zerhusen
AFFILIATED WITH THE UNIVERSITY OF CINCINNATI
MATERIALS AND METHODS
Our results were lower than the accepted value, disproving our hypothesis. When analyzing the data, we varied the bin value between 5 and 40 and the width of the gate from 1e-5 and 1e-4 seconds. By changing the parameters of the data, we were able to observe lifetime values ranging from .71 microseconds to 1.19 microseconds.
The bin number dictates the number of data points used on the graph, so the lower the bin number the fewer the data points used. When less data points are used, the curve fit is more accurate so the lifetime value obtained from this graph will be more accurate as well. Yet if more data points are used, the curve fit will be more precise so the lifetime value obtained will be more precise. Therefore, we considered the lifetime values found using both high and low bin numbers, ranging from 5 to 40.
PURPOSE AND HYPOTHESIS
The purpose of our experiment was to verify the accepted value of the lifetime of a muon, 2.2 microseconds.
We believed the value for the lifetime of a muon which we would obtain from our experiment would be close to the accepted value of the lifetime of a muon, within 0.1 microseconds.
Due to the difficulty of obtaining the accepted value for the lifetime of a muon (2.2 microseconds), we analyzed the data by varying the gate width and bin number. Our methods were not as accurate as we had hoped because of the nature of our scintillators: they were thin, preventing the muon from decaying within one single panel. A more efficient system would have used significantly thicker scintillator panels, increasing the chances that the muons would decay within a single panel.
Bin Number: 120; Lifetime: 0.718 microseconds
Bin Number: 5; Lifetime: 0.936 microseconds