| This dissertation is composed of three independent parts.; Part one describes the PP2PP experiment—an experiment to study the proton-proton elastic scattering to be performed in RHIC. Some phenomenological models to interpret the proton-proton elastic scattering are presented. Existing experimental data, unpolarized and polarized, are summarized. The physics goals of the PP2PP experiment are discussed. The experimental method and its simulation results are shown. Finally, the construction status, including the results of mechanical tests of the Roman pots and silicon detector test results are presented.; In the second part, resonance analysis by Fourier transformation is studied. A “peak error” dilemma is raised and the solution is given.; In the third part of this thesis, the Radial-Jump method to cross transition in RHIC is studied. Abundant simulation results are presented. From the simulation, the effect of several factors, such as jump size, momentum aperture, compaction factor α1, mistiming, ramping rate, etc. on the crossing efficiency and bunch area growth are discussed. The transition crossing results using Radial-Jump in the RHIC 2000 run are compared with simulation result. The agreement is satisfactory. The effect of space charge on the crossing result is also analyzed. |
