Abstract

The advent of high precision measurements of neutrinos and their oscillations calls for accurate predictions of their interactions with nuclear targets utilized in the detectors. Over the past decade, ab initio approaches have reached the degree of maturity needed to describe lepton-nucleus scattering processes starting from a realistic model of the interactions among the nucleons and between them and the beam particle. Achieving a comprehensive description of the different reaction mechanisms active in the broad range of energy relevant for oscillation experiments required the introduction of controlled approximations of the nuclear many-body models. In this review, we give an overview of recent developments in the description of electroweak interactions within different approaches and discuss the future perspectives to support the experimental effort in this new precision era.

Highlights

  • Understanding neutrino properties and interactions is the main focus of the world-wide accelerator-based neutrino-oscillation program

  • Calculations carried out employing the two different many-body approaches are in very nice agreement, they are obtained from different nuclear interactions

  • The overall effect is a shift in the position of the quasielastic peak to the left and a redistribution of the strength which leads to a correct reproduction of the experimental data

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Summary

INTRODUCTION

Understanding neutrino properties and interactions is the main focus of the world-wide accelerator-based neutrino-oscillation program. The short-time approximation (STA) method has been recently proposed to overcome some of the limitations of GFMC [28] This approach allows to compute both the inclusive and exclusive response of nuclei in the highenergy (short-time) limit–corresponding to the Fermi energy and above– utilizing realistic nuclear interactions and currents. The framework based on the impulse approximation (IA) and realistic spectral-functions (SFs) has been largely utilized to describe electron-nucleus scattering data in the limit of moderate and high momentum transfer [29, 30] This scheme combines a realistic description of the initial target state with a fully-relativistic interaction vertex and kinematics.

FORMALISM
Nuclear Hamiltonian and Current Operator
INTEGRAL TRANSFORM TECHNIQUES
Lorentz Integral Transform Technique
Green’s Function Monte Carlo
SHORT TIME APPROXIMATION
EXTENDED FACTORIZATION SCHEME
Determination of the Hole Spectral Function of Finite Nuclei
Results
CONCLUSIONS
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