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The electromagnetic quantities of the 106Cd nucleus and experimental test of the generalized brink-axel hypothesis
Dissertation   Open access

The electromagnetic quantities of the 106Cd nucleus and experimental test of the generalized brink-axel hypothesis

Ayabulela Tsewu
Doctor of Philosophy (PHD), University of Johannesburg
2026
Handle:
https://hdl.handle.net/10210/520032

Abstract

The nuclear level density (NLD) and γ-ray strength function (γSF) of 106Cd have long carried signicant uncertainties due to missing neutron resonance data required for Oslo Method normalization. In particular, the Oslo Method requires normalization of the NLD at the separation energy using the average neutron resonance spacing (D0), and of the γSF using both D0 and the average radiative width (Γγ), to determine their slopes and absolute values. However, for 106Cd, these parameters are not experimentally available, as 105Cd is unstable. Previous studies therefore relied on systematics to estimate D0 and Γγ, introducing large uncertainties into the normalization. Consequently, the NLD and γSF data of 106Cd, along with the 105Cd(n,γ) cross sections essential for p-process nucleosynthesis, have lacked experimental accuracy and reliability. This reanalysis directly addresses one of the IAEA Photon Strength Function (PSF) team's highlighted case studies, thereby providing new experimental constraints that contribute to global eorts to improve the reliability of photon strength functions for 106Cd. In this work, the NLD and γSF of 106Cd were re-extracted from particle-γ coincidence data measured at the Oslo Cyclotron Laboratory, using the Oslo Method in conjunction with the Shape Method. The new γSF is found to be up to a factor of 3 higher than previously reported γSF, and the new NLD is lower than previously reported NLD. These results were used to compute the experimentally constrained calculation of the 105Cd(n, γ) cross sections, iv Abstract v reducing uncertainties of the present neutron capture cross sections of 105Cd previously based on various NLD and γSF theoretical models by a factor of 4-5, which is a signicant contribution for astrophysical p-process calculations. Additionally, the generalized Brink-Axel (gBA) hypothesis, widely used as a foundational assumption in experimental methods for measuring NLD and γSF in both nuclear structure and astrophysics, was experimentally tested for the rst time in the 140La nucleus. The results clearly indicated that the shape and absolute value of the γSF of 140La do not depend on the nuclear excitation energy. In particular, the γSF was found to be independent of both initial and nal excitation energies within experimental uncertainties, supporting that the gBA hypothesis holds in this mass region. Finally, the rst experimental study of thermodynamic properties such as entropy, temperature, and heat capacity in 140La was performed. The results reveal that the entropy increases from about 2.6 kB to 7.5 kB with excitation energy, consistent with a growing number of accessible states. The temperature rises and falls below Ex = 2 MeV, indicating melting of the rst nucleon Cooper pair. Unlike some nuclei reported in the literature, no distinct temperature oscillations are observed above 2 MeV; instead, the temperature remains roughly constant at T ≈ 0.8 MeV, suggesting that the additional excitation energy is primarily consumed by the sequential breaking of multiple Cooper pairs, rather than raising the temperature. Furthermore, the heat capacity of 140La uctuates between positive and negative values with increasing excitation energy, indicating alternating warming and cooling phases. Such unusual behaviour, contrary to everyday experience, has been observed in the literature for other nuclei as well as in complex systems such as atomic clusters and stars.
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