We explore the possibility of measuring the Weinberg angle from (anti)neutrinoelectron scattering using low energy beta-beams, a method that produces single flavour neutrino beams from the beta-decay of boosted radioactive ions. We study how the sensitivity of a possible measurement depends on the intensity of the ion beam and on a combination of different Lorentz boosts of the ions.

We apply the algebraic Bethe ansatz technique to the nuclear pairing problem with orbit dependent coupling constants and degenerate single particle energy levels. We find the exact energies and eigenstates. We show that for a given shell, there are degeneracies between the states corresponding to less and more than half full shell. We also provide a technique to solve the equations of Bethe ansatz.

We discuss the possibility of testing the weak currents and, in particular, the weak magnetism term through the measurement of the νe + p → e + + n reaction at a low energy beta-beam facility. We analyze the sensitivity using both the total number of events and the angular distribution of the positrons emitted in a waterČerenkov detector. We show that the weak magnetism form factor might be determined with better than several percent accuracy using the angular distribution. This offers a new way of testing the Conserved Vector Current hypothesis.

We discuss a scenario to extract up to 150 MeV neutrinos at a standard beta-beam facility using one and two detectors off-axis. In particular we show that the high-energy component of the neutrino fluxes can be subtracted through a specific combination of the response of two off-axis detectors. A systematic analysis of the neutrino fluxes using different detector geometries is presented, as well as a comparison with the expected fluxes at a low-energy beta-beam facility. The presented option could offer an alternative way to perform low-energy neutrino experiments.

Deuteron-nucleus elastic scattering at intermediate energies is analysed using a deuteron interaction obtained from the covariant folding of recent energy- and atomic-mass-number-dependent global Dirac-phenomenology nucleon-nucleus potentials. The effects of allowing the nucleons in the deuteron to interact with the target with a variable energy, determined by their relative momentum, are studied for the first time. The inclusion of these effects in parameter-free calculations of cross section and polarization observables for deuteron elastic scattering on 24Mg, 40Ca and 58Ni improves the agreement with the data at deuteron energies of 400 and 700 MeV and is particularly strong at 400 MeV.