Abstract
Hyperpolarized $^{129}\mathrm{Xe}$ finds numerous applications in NMR spectroscopy and magnetic resonance imaging. The production of hyperpolarized $^{129}\mathrm{Xe}$ by spin-exchange optical pumping is therefore an important experimental issue. We model the three-dimensional transport processes within a so-called batch mode pump cell via numerical finite element method simulations and compare the results with experimental data. In particular, the influence of different experimental parameters, such as temperature, xenon and nitrogen partial pressure, laser power, and radius-to-length ratio of a cylindrical pump cell, is evaluated. The developed numerical method is capable of describing the spin-exchange optical pumping process in a realistic manner.
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