Accurate experimental knowledge of forbidden non-unique beta transitions, which constitute about one third of all known beta transitions, is an important and very difficult subject. Only a few reliable studies exist in the literature. Indeed, the continuous energy spectrum of these transitions is difficult to measure precisely for various reasons that cumulate: high diffusivity of electrons in matter and non-linearity of the detection system, unavailability of some radionuclides and presence of impurities, long half-lives and complex decay schemes, etc. Accurate theoretical predictions are equally difficult because of the necessity of coupling different models for the atomic, the nuclear and the weak interaction parts in the same, full-relativistic formalism. However, improving our knowledge of forbidden non-unique beta transitions is essential in radioactivity metrology to define the becquerel SI unit in the case of pure beta emitters. This can have a strong impact in nuclear medicine, for the nuclear industry, and for some studies in fundamental physics such as dark matter detection and neutrino physics.
Our recent study, both theoretical and experimental, of the second forbidden non-unique transition in 99Tc decay has highlighted that forbidden non-unique transitions can be particularly sensitive to the effective values of the weak interaction coupling constants. The latter act as multiplicative factors of the nuclear matrix elements. The use of effective values compensates for the approximations used in the nuclear structure models, such as simplified correlations between the nucleons in the valence space, or the absence of core excitation. However, they can only be adjusted by comparing with a high-precision experimental spectrum. The predictability of the theoretical calculations, even the most precise currently available, is thus strongly questioned. While it has already been demonstrated that universal values cannot be fixed, effective values for each type of transition, or for a specific nuclear model, are possible. The aim of this thesis is therefore to establish new experimental constraints on the weak interaction coupling constants by precisely measuring the energy spectra of beta transitions. Ultimately, establishing robust average effective values of these coupling constants will be possible, and a real predictive power for theoretical calculations of beta decay will be obtained.
Most of the transitions of interest for constraining the coupling constants have energies greater than 1 MeV, occur in complex decay schemes and are associated to the emission of multiple gamma photons. In this situation, the best strategy consists in beta-gamma detection in coincidence. The usual detection techniques in nuclear physics are appropriate but they must be extremely well implemented and controlled. The doctoral student will rely on the results obtained in two previous theses. To minimize self-absorption of the electrons in the source, they will have to adapt a preparation technique of ultra-thin radioactive sources developed at LNHB to the important activities that will be required. He will have to implement a new apparatus, in a dedicated vacuum chamber, including a coincidence detection of two silicon detectors and two gamma detectors. Several studies will be necessary, mechanical and by Monte Carlo simulation, to optimize the geometric configuration with regard to the different constraints. The optimization of the electronics, acquisition, signal processing, data analysis, spectral deconvolution and the development of a complete and robust uncertainty budget will all be topics covered. These instrumental developments will make possible the measurement with great precision of the spectra from 36Cl, 59Fe, 87Rb, 141Ce, or 170Tm decays. This very comprehensive subject will allow the doctoral student to acquire instrumental and analytical skills that will open up many career opportunities. The candidate should have good knowledge of nuclear instrumentation, programming and Monte Carlo simulations, as well as a reasonable knowledge of nuclear disintegrations.

Photonic irradiation techniques exploit the interactions between a beam of high-energy photons and matter to carry out non-destructive measurements. By inducing photonuclear reactions such as photonic activation, nuclear resonance fluorescence (NRF) and photofission, these irradiation techniques enable deep probing of matter. Combining these different nuclear measurement techniques within a single irradiation platform would enable precise, quantitative identification of a wide variety of elements, probing the volume of the materials or objects under study. The high-energy photon beam is generally produced by the Bremsstrahlung phenomenon within a conversion target of a linear electron accelerator. An innovative alternative is to exploit the high-energy electrons delivered by a laser-plasma source, converted by Bremsstrahlung radiation or inverse Compton scattering. A platform based on such a source would open up new possibilities, as laser-plasma sources can reach significantly higher energies, enabling access to new advanced imaging techniques and applications. The aim of this thesis is to establish the foundations and conceptualize a multimodal photonic irradiation platform. Such a device would aim to be based on a laser-plasma source and would enable the combination of photonic activation, nuclear resonance fluorescence (NRF) and photofission techniques. By pushing back the limits of non-destructive nuclear measurements, this platform would offer innovative solutions to major challenges in strategic sectors such as security and border control, radioactive waste package management, and the recycling industry.