Electroweak processes in few-nucleon systems

Nuclear chiral effective field theory (χEFT) is the theoretical framework that allows the derivation of nuclear potentials and currents from the symmetries of Quantum Chromodynamics (QCD), the exact Lorentz, parity and time reversal symmetries, and the approximate chiral symmetry. In this talk, I will present results of the application of the recently derived axial currents (with and without delta excitations) to selected electroweak nuclear processes in few-nucleon systems. In particular, the axial current has only one unknown low energy constant (up to the order considered), that has been fitted to reproduce the experimental value of the Gamow-Teller matrix element in tritium β-decay. As a second application, I will show results for the calculation of neutrino deuteron inclusive cross-section at low energies, a process that (in the past) has been important for the analysis of the data of the SNO experiment. As a third and final application, I will discuss results for the study of the Gamow-Teller matrix element of the β decays in some light nuclei A = 6 − 10. Lastly I will outline some of the challenges and few preliminary results in our effort to study deuteron static properties on a quantum computer, a necessary step before moving to the simulation of nuclear dynamical properties on a quantum computer.