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. A. History and Background 1. Cosmic Rays .• 2~ The Artificial Production of Mesons ... B. The Mass -Ratio Method . THEORY OF MASS NORMALIZATION .. THE PARTICLE MOMENTUM .. A. Orbit Calculations .... B. Effects of the Finite Size of Target and of Detector. THE PARTICLE RANGE. A. ·Energy Loss Processes B. c. 1. Energy Loss by Radiation . 2. Energy Loss to Nuclei . . . ... 3. Energy Loss to Electrons. The Range-Energy Relation . Range Straggling . 1. Bohr Straggling ..•. 2. Heterogeneity Straggling. 3. Effect of Finite Grain Spacing and Grain Size. o 4. Effect of Shrinkage Factor ... o D. The Normalized Range Distribution Function. o STATISTICAL CALCULATION OF MASS RATIOS ~ 0 5 6 6 8 10 12 16 16 20 23 23 24 26 26 27 27 29 30 30 32 34

THE MESON MASS RATIO AND ENERGY BALANCE IN PI-MU DECAY (thesis)