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Abstract
In the first part of this thesis, we describe an analysis of J/$\psi$ produced in the forward direction in the reaction $\pi$N $\to\mu\sp+\mu\sp-$x. The data for this analysis were collected by Fermilab experiment E615. We measured the cross section of J/$\psi$ production and the angular distribution of muons from J/$\psi$ decay. We found evidence for longitudinal polarization of J/$\psi$ produced in the kinematic limit where the J/$\psi$ carries a large fraction of the incident pion's longitudinal momentum. This is the first experimental observation of longitudinal polarization of J/$\psi$ produced in hadronic interactions.
In the second part of this thesis, we describe the construction and calibration of a large Bismuth Germinate (BGO) electromagnetic calorimeter designed to study $e\sp+e\sp-$ collisions at center-of-mass energies near the $Z\sb0$ mass. The calorimeter is a subdetector of the L3 detector and will be installed in the Large Electron Positron collider (LEP) of the European Organization for Nuclear Research. We present the results of a calibration of the calorimeter in an electron test beam at electron energies of 2, 10, and 50 GeV. We show that the accuracy of the calibration is 0.8% at 2 GeV, improving to better than 0.5% at 10 GeV and above.