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Particle Swarm Optimization For High Rigidity Spectrometer, Yicheng Wang
Particle Swarm Optimization For High Rigidity Spectrometer, Yicheng Wang
Honors Theses
The goal of this project is to find reliable parameter settings for a multi-dimensional global optimizer to optimize the performance of a large acceptance ion optical system for the requirements of nuclear physics experiments. We develop and test the Particle Swarm Optimization (PSO), a global optimization algorithm designed for continuous multi-dimensional problems, on a large acceptance particle beam separator, the High Rigidity Spectrometer (HRS) at the Facility for Rare Isotope Beams (FRIB), which is a laboratory specializing in the production and experimental study of short-lived nuclear matter. We split the HRS into two sections, the High-Transmission Beamline (HTBL) and the …
Relativistic And Non-Relativistic Proton-Nucleus Scattering, Kinsey Ann Elisabeth Zarske-Williamson
Relativistic And Non-Relativistic Proton-Nucleus Scattering, Kinsey Ann Elisabeth Zarske-Williamson
Honors Theses
Calculations for proton-nucleus scattering often rely on transition amplitudes. We implement new transition amplitudes [7] with the relativistic equations. We can find the matrix elements of the operators between the usual Dirac spinor basis or the helicity spinor basis. The operators can also be written as a linear combination of non-relativistic spin operators. To transform from one basis to another, we need to find a transformation matrix. We must establish what one of the factors that appears in the transformed expression means in order to correctly complete our transformation matrix. Once this is resolved, our transformation matrix will be complete.