Response functions and cross sections for inclusive neutrino scattering off $^2$H, $^3$H and $^3$He

Alessandro Grassi,Kamada Hiroyuki,Roman Skibiński,Laura Elisa Marcucci,Kacper Topolnicki,Jacek Golak,Henryk Witała

doi:10.21468/scipostphysproc.3.031

Abstract

For several decades there has been an interest in studying neutrino scattering on light nuclei, with the hope of increasing knowledge about the theory of weak interactions and electroweak unification. A study of several neutrino induced reactions on light nuclei (^22H, ^33H and ^33He) is presented here. The cross section for these reactions is evaluated using the nuclear response functions, which holds the information about the nuclear interactions and structure. This approach has been tested for break-up reactions on the deuteron before and is now extended to three-nucleon break-up reactions.

Highlights

The interest in neutrino reactions on nuclei lies in nuclear physics, and in other fields such as astrophysics and particle physics
The construction of neutrino detectors requires knowledge about these types of reactions [1, 2]. Calculations performed in both coordinate and momentum space have given equivalent results, suggesting that at low energies the theoretical uncertainty may be small. These studies were performed by adopting semi-phenomenological potentials as well as ones based on chiral effective field theory [3], and the related single and two nucleon current operators
The differential cross section depends on the transition matrix element of the process M f i

Summary

Introduction

The interest in neutrino reactions on nuclei lies in nuclear physics, and in other fields such as astrophysics and particle physics. The construction of neutrino detectors requires knowledge about these types of reactions [1, 2] Calculations performed in both coordinate and momentum space have given equivalent results, suggesting that at low energies the theoretical uncertainty may be small. These studies were performed by adopting semi-phenomenological potentials as well as ones based on chiral effective field theory [3], and the related single and two nucleon current operators. The differential cross section depends on the transition matrix element of the process M f i It appears in its quadratic form, i.e. where the Lλ (Nλ ) are the transition matrix elements for the leptonic (hadronic) current.

G F2 cos2 θC d 3σ k

Results

Conclusions