Electron-neutrino scattering off nuclei from two different theoretical perspectives

Abstract

We analyze charged-current electron-neutrino cross sections on Carbon. We consider two different theoretical approaches, on one hand the Continuum Random Phase Approximation (CRPA) which allows a description of giant resonances and quasielastic excitations, on the other hand the RPA-based calculations which are able to describe multinucleon emission and coherent and incoherent pion production as well as quasielastic excitations. We compare the two approaches in the genuine quasielastic channel, and find a satisfactory agreement between them at large energies while at low energies the collective giant resonances show up only in the CRPA approach. We also compare electron-neutrino cross sections with the corresponding muon-neutrino ones in order to investigate the impact of the different charged-lepton masses. Finally, restricting to the RPA-based approach we compare the sum of quasielastic, multinucleon emission, coherent and incoherent one-pion production cross sections (folded with the electron-neutrino T2K flux) with the charged-current inclusive electron-neutrino differential cross sections on Carbon measured by T2K. We find a good agreement with the data. The multinucleon component is needed in order to reproduce the T2K electron-neutrino inclusive cross sections

Nuclear response functions with finite-range Gogny force: Tensor terms and instabilities

“…The correspondence between continuum RPA calculations in finite nuclei and nuclear matter results in the quasielastic electron and neutrino scattering has been illustrated for example in Refs. [59,60].…”

Influence of short-range correlations in neutrino-nucleus scattering

“…This leads to multinucleon excitations, of which the twoparticle two-hole (2p2h) ones constitute the leading order. Several theoretical approaches have analyzed the role of multinucleon excitations in the νA cross sections * Tom.VanCuyck@UGent.be † Natalie.Jachowicz@UGent.be by comparing their results with experimental data [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. A complete theoretical model should in principle include short-range and long-range nuclear correlations, MEC and final-state interactions (FSIs).…”

“…A second topic addressed in this paper is that of exclusive A(ν µ , µ − N a N b ) reactions, where next to the scattered µ − , two outgoing nucleons are detected. Up to now the theoretical papers studying multinucleon excitations in νA scattering [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] have considered only inclusive processes. The semi-exclusive…”

Effect of the charged-lepton's mass on the quasielastic neutrino cross sections

“…In a recent article [1], Martini et al analyzed the cross section for charged-current (CC) scattering of electron and muon neutrinos off the carbon target, obtained within two theoretical approaches, the continuum random phase approximation (RPA) [2] and the local Fermi gas model with the RPA effects accounted for using the model of Refs. [3,4].…”