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.
Highlights
Recent years have seen an accumulation of data on muonneutrino cross sections on nuclei at intermediate energies [1–19]
[1] has attracted a lot of attention due to its unexpected behavior, reproducible with an unphysical value of the axial mass. This axial mass anomaly is explained by the inclusion of events in which several nucleons are ejected in the charged-current quasielastic (CCQE) cross section [20,21,22,23,24,25,26,27,28,29,30,31,32,33]
[20] which is based on nuclear response functions, treated in the random phase approximation (RPA) on top of a local relativistic Fermi gas (LRFG) calculation
Summary
Recent years have seen an accumulation of data on muonneutrino cross sections on nuclei at intermediate energies [1–. [20] which is based on nuclear response functions, treated in the random phase approximation (RPA) on top of a local relativistic Fermi gas (LRFG) calculation It includes the quasielastic cross section, multinucleon emission and coherent and incoherent single pion production. When the cross sections are folded with the T2K and the MiniBooNE νe fluxes which are peaked at Eν 500 MeV it turns out that the differences are washed out This justifies the use of the RPA approach of Martini et al, which incorporates, beyond the quasielastic, one pion production and multinucleon emission to compare with the inclusive νe CC differential cross sections on carbon recently measured by T2K [37]. We postpone the comparison with the very recent MINERvA results [38] to a future paper
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
