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Title: Relativistic models for quasielastic neutrino scattering

Abstract

We present quasielastic neutrino-nucleus cross sections in the energy range from 150 MeV to 5 GeV for the target nuclei {sup 12}C and {sup 56}Fe. A relativistic description of the nuclear dynamics and the neutrino-nucleus coupling is adopted. For the treatment of final-state interactions we rely on two frameworks successfully 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{sup '}p) measurements can be used to obtain realistic estimates of the effect of FSI mechanisms on quasielastic neutrino-nucleus cross sections. We present two independent relativistic plane-wave impulse approximation (RPWIA) calculations of quasielastic neutrino-nucleus cross sections. They agree at the percentage level, showing the reliability of the numerical techniques adopted and providing benchmark RPWIA results.

Authors:
; ; ; ; ;  [1];  [2]
  1. Department of Subatomic and Radiation Physics, Ghent University, Proeftuinstraat 86, B-9000 Gent (Belgium)
  2. (Spain)
Publication Date:
OSTI Identifier:
20771277
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.73.024607; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CARBON 12; CARBON 12 TARGET; COUPLING; CROSS SECTIONS; ELECTRON-NUCLEON INTERACTIONS; FINAL-STATE INTERACTIONS; GEV RANGE; GLAUBER THEORY; IMPULSE APPROXIMATION; IRON 56; IRON 56 TARGET; MEV RANGE; MULTIPLE SCATTERING; NEUTRINO REACTIONS; NEUTRINOS; NUCLEAR POTENTIAL; OPACITY; OPTICAL MODELS; QUASI-ELASTIC SCATTERING; RELATIVISTIC RANGE

Citation Formats

Martinez, M.C., Lava, P., Jachowicz, N., Ryckebusch, J., Vantournhout, K., Udias, J.M., and Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid. Relativistic models for quasielastic neutrino scattering. United States: N. p., 2006. Web. doi:10.1103/PhysRevC.73.024607.
Martinez, M.C., Lava, P., Jachowicz, N., Ryckebusch, J., Vantournhout, K., Udias, J.M., & Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid. Relativistic models for quasielastic neutrino scattering. United States. doi:10.1103/PhysRevC.73.024607.
Martinez, M.C., Lava, P., Jachowicz, N., Ryckebusch, J., Vantournhout, K., Udias, J.M., and Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid. Wed . "Relativistic models for quasielastic neutrino scattering". United States. doi:10.1103/PhysRevC.73.024607.
@article{osti_20771277,
title = {Relativistic models for quasielastic neutrino scattering},
author = {Martinez, M.C. and Lava, P. and Jachowicz, N. and Ryckebusch, J. and Vantournhout, K. and Udias, J.M. and Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid},
abstractNote = {We present quasielastic neutrino-nucleus cross sections in the energy range from 150 MeV to 5 GeV for the target nuclei {sup 12}C and {sup 56}Fe. A relativistic description of the nuclear dynamics and the neutrino-nucleus coupling is adopted. For the treatment of final-state interactions we rely on two frameworks successfully 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{sup '}p) measurements can be used to obtain realistic estimates of the effect of FSI mechanisms on quasielastic neutrino-nucleus cross sections. We present two independent relativistic plane-wave impulse approximation (RPWIA) calculations of quasielastic neutrino-nucleus cross sections. They agree at the percentage level, showing the reliability of the numerical techniques adopted and providing benchmark RPWIA results.},
doi = {10.1103/PhysRevC.73.024607},
journal = {Physical Review. C, Nuclear Physics},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}
  • Charged-current cross sections are calculated for quasielastic neutrino and antineutrino scattering using a relativistic meson-nucleon model. We examine how nuclear-structure effects, such as relativistic random-phase-approximation (RPA) corrections and momentum-dependent nucleon self-energies, influence the extraction of the axial form factor of the nucleon. RPA corrections are important only at low-momentum transfers. In contrast, the momentum dependence of the relativistic self-energies changes appreciably the value of the axial-mass parameter {ital M}{sub {ital A}} extracted from dipole fits to the axial form factor. Using Brookhaven`s experimental neutrino spectrum we estimate the sensitivity of {ital M}{sub {ital A}} to various relativistic nuclear-structure effects.
  • Superscaling of the quasielastic cross section in charged-current neutrino-nucleus reactions at energies of a few GeV is investigated within the framework of the relativistic impulse approximation. Several approaches are used to describe final-state interactions and comparisons are made with the plane-wave approximation. Superscaling is very successful in all cases. The scaling function obtained using a relativistic mean field for the final states shows an asymmetric shape with a long tail extending towards positive values of the scaling variable, in excellent agreement with the behavior presented by the experimental scaling function.
  • The semi-relativistic approach to electron and neutrino quasielastic scattering from nuclei is extended to include final-state interactions. Starting with the usual nonrelativistic continuum shell model, the problem is relativized by using the semi-relativistic expansion of the current in powers of the initial nucleon momentum and relativistic kinematics. Two different approaches are considered for the final-state interactions: the Smith-Wambach 2p-2h damping model and the Dirac-equation-based potential extracted from a relativistic mean-field plus the Darwin factor. Using the latter, the scaling properties of (e,e{sup '}) and ({nu}{sub {mu}},{mu}{sup -}) cross sections for intermediate momentum transfers are investigated.
  • The superscaling analysis is extended to include quasielastic (QE) scattering via the weak neutral current (NC) of neutrinos and antineutrinos from nuclei. The scaling function obtained within the coherent density fluctuation model (CDFM) [used previously in calculations of QE inclusive electron and charge-changing (CC) neutrino scattering] is applied to neutral current neutrino and antineutrino scattering with energies of 1 GeV from {sup 12}C with a proton and neutron knockout (u-channel inclusive processes). The results are compared with those obtained using the scaling function from the relativistic Fermi gas model and the scaling function as determined from the superscaling analysis (SuSA)more » of QE electron scattering.« less
  • The analysis of the recent experimental data on charged-current neutrino-nucleus scattering cross sections measured at MiniBooNE requires relativistic theoretical descriptions also accounting for the role of final-state interactions. In this work we evaluate inclusive quasielastic differential neutrino cross sections within the framework of the relativistic impulse approximation. Results based on the relativistic mean-field potential are compared with the ones corresponding to the relativistic Green's-function approach. An analysis of scaling and superscaling properties provided by both models is also presented.