Relativistic models for quasi-elastic neutrino-nucleus scattering (original) (raw)
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Relativistic models for quasielastic neutrino scattering
Physical Review C, 2006
We present quasi-elastic neutrino-nucleus cross sections in the energy range from 150 MeV up to 5 GeV for the target nuclei 12 C and 56 Fe. A relativistic description of the nuclear dynamics and the neutrino-nucleus coupling is adopted. For the treatment of final-state interactions (FSI) we rely on two frameworks succesfully applied to exclusive electron-nucleus scattering: a relativistic optical potential and a relativistic multiple-scattering Glauber approximation. At lower energies, the optical-potential approach is considered to be the optimum choice, whereas at high energies a Glauber approach is more natural. Comparing the results of both calculations, it is found that the Glauber approach yields valid results down to the remarkably small nucleon kinetic energies of 200 MeV. We argue that the nuclear transparencies extracted from A(e, e ′ p) measurements can be used to obtain realistic estimates of the effect of FSI mechanisms on quasi-elastic neutrinonucleus cross sections. We present two independent relativistic plane-wave impulse approximation (RPWIA) calculations of quasi-elastic neutrino-nucleus cross sections. They agree at the percent level, showing the reliability of the numerical techniques adopted and providing benchmark RPWIA results.
Effects of nuclear re-interactions in quasi-elastic neutrino–nucleus scattering
Astroparticle Physics, 2001
The effects of nuclear re-interactions in the quasi elastic neutrino-nucleus scattering are investigated with a phenomenological model. We found that the nuclear responses are lowered and that their maxima are shifted towards higher excitation energies. This is reflected on the total ν-nucleus cross section in a general reduction of about 15% for neutrino energies above 300 MeV.
Modeling neutrino-nucleus interactions in the quasi-elastic regime
2008
In the energy region below 1 GeV, neutrino-scattering off nuclei is dominated by quasi-elastic processes. Several effects influence the outcome of these reactions, and the result of cross section calculations depends on choices in model and parameterization. We discuss the main sensitivities of quasi-elastic processes and their influence on cross section results.
Neutrino-nucleus cross section in the impulse approximation regime
Nuclear Physics B - Proceedings Supplements, 2005
In the impulse approximation regime the nuclear response to a weakly interacting probe can be written in terms of the measured nucleon structure fuctions and the target spectral function, yielding the energy and momentum distribution of the constituent nucleons. We discuss a calculation of charged current neutrino-oxygen interactions in the quasielastic channel, carried out within nuclear many body theory. The proposed approach, extensively and successfully employed in the analysys of electron-nucleus scattering data, allows for a parameter free prediction of the neutrino-nucleus cross section, whose quantitative understanding will be critical to the analysis of the next genaration of high precision neutrino oscillation experiments.
Calculations of the neutrino nucleon cross sections in nuclear matter
In this study, calculations of the total and differential quasi- elastic cross sections for neutrino and antineutrino scattering on nucleons in nuclear matter are presented within the frame of Pauli suppression model by using up to date fits to the nucleon elastic electromagnetic form factors GE p , GE n , GM p , GM n , and weak and pseudoscalar form factors. It was found that the non-zero value of GE n has a significant effect on both the total and differential neutrino and antineutrino quasielastic cross sections. We perform a re-analysis of previous neutrino data using updated form factors.
Physical Review C, 2020
Neutrino-nucleus quasielastic scattering is studied in the plane wave impulse approximation for three nuclear models: the relativistic Fermi gas (RFG), the independent-particle shell model (IPSM) and the natural orbitals (NO) model with Lorentzian dependence of the excitation energy. A complete study of the kinematics of the semi-inclusive process and the associated cross sections are presented and discussed for 40 Ar and 12 C. Inclusive cross sections are also obtained by integrating the semi-inclusive expressions over the outgoing hadron. Results are consistent with previous studies restricted to the inclusive channel. In particular, a comparison with the analytical results for the RFG model is performed. Explicit expressions for the hadronic tensor and the 10 semiinclusive nuclear responses are given. Theoretical predictions are compared with semi-inclusive experimental data from T2K experiment.
Final state interaction effects in neutrino-nucleus quasielastic scattering
Nuclear Physics B - Proceedings Supplements, 2005
We consider the charged-current quasielastic scattering of muon neutrinos on an Oxygen 16 target, described within a relativistic shell model and, for comparison, the relativistic Fermi gas. Final state interactions are described in the distorted wave impulse approximation, using both a relativistic mean field potential and a relativistic optical potential, with and without imaginary part. We present results for inclusive cross sections at fixed neutrino energies in the range E ν = 200 MeV-1 GeV, showing that final state interaction effects can remain sizable even at large energies.
Overview of neutrino-nucleus quasielastic scattering
2009
Neutrino-nucleus reactions are surveyed. The approximations usually made are identified and a comparison to the corresponding electron-nucleus processes is presented. Impulse Approximation (IA), factorization of the cross-section and scaling approaches (SA) to lepton-nucleus scattering are examined in detail.
Modeling neutrino–nucleus interactions. Do we need a new paradigm?
The availability of the double-differential charged-current neutrino cross section, measured by the MiniBooNE collaboration using a carbon target, allows for a systematic comparison of nuclear effects in quasi-elastic electron and neutrino scattering. The results of theoretical studies based on the impulse approximation scheme and state-of-the-art models of the nuclear spectral functions suggest that the electron cross section and the flux averaged neutrino cross sections corresponding to the same target and seemingly comparable kinematical conditions can not be described within the same theoretical scheme using the value of the nucleon axial mass obtained from deuterium measurements. I analyze the assumptions underlying the treatment of electron scattering data, and argue that the development of a new paradigm, suitable for application to processes in which the lepton kinematics is not fully determined, will be required.
The Relativistic Green's Function Model for Quasielastic Neutrino-Nucleus Scattering
A model based on the relativistic impulse approximation (RIA) for quasielastic (QE) lepton-nucleus scattering is presented. The effects of the finalstate interactions (FSI) between the emitted nucleon and the residual nucleus are described by the relativistic Green's function (RGF) model where FSI are treated consistently with the exclusive scattering and using the same complex optical potential. The results of the model are compared with the results of different descriptions of FSI and with available data for neutrino-nucleus scattering.