Transverse Wobbling in $^{135}$Pr

In any experimental science, analysis of collected experimental data combined with comparison to theoretical models is necessary to understand the system’s behavior. In high spin gamma-ray spectroscopy this analysis can be broken into several stages. The first stage is construction of the level scheme, determining the energies of the nucleus’ excited states and their de-excitation patterns from the gamma-ray energies and coincidence relationships. Gamma rays in coincidence must share at least part of their de-excitation path, the sum of the gamma-ray intensities into a state must be less than or equal to the sum of the intensities out of the state. The second stage is determination of the spins and parities of the excited states. Angular distributions, angular correlations, and arguments from transition intensity and patterns can be used to build on states whose spin and parity was previously known to achieve this. In some experiments, the third stage is determination of the lifetime of the excited states. For instance, the Recoil Distance Method (RDM) achieves this by looking at ratios of Doppler shifted and unshifted transitions for different distances between the production foil and a stopping foil. Finally comes comparison to theory, after model parameters have been fitted this is simply a matter of plotting values for comparison of trends and values. A discussion of the level scheme reconstruction, the justification of assigned spins and parities, the extraction of the n w = 1 → n w = 0 transition mixing, and comparison to theory can be found in this chapter.