This thesis presents a study of neutral hadron production rates produced in the annihilation of electrons and positrons at a center-of-mass energy of 10:54 GeV . The measurements of the particles were collected using the BaBar detector at the PEP- II storage rings located at the SLAC National Accelerator Laboratory, Menlo Park, California, USA. Simulated data was used to understand the analysis in order to make highly precise measurements of the production rates of the eta and pi-> particles from data collected by the BABAR detector. In e+e- collisions at a center-of-mass energy of 10:54 GeV, an average of 2.8 +/- 0.3 pi0 meson particles per event were found via the process pi0 -> gamma gamma and an average of 2:52 +/- 0.30 x 10-1 eta mesons per event were found via the process eta -> gamma gamma. I discuss a survey of particle physics. The development of software in the Mu2e experiment is also presented as a complement to the study process.