Relativistic models for quasielastic neutrino scattering

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M. C. Martínez, P. Lava, N. Jachowicz, J. Ryckebusch, and K. Vantournhout
Department of Subatomic and Radiation Physics, Ghent University, Proeftuinstraat 86, B-9000 Gent, Belgium

J. M. Udías
Departamento de Física Atómica, Molecular y Nuclear, Facultad de Ciencias Físicas, Universidad Complutense de Madrid, E-28040 Madrid, Spain

Received 2 May 2005; published 14 February 2006

Wepresent quasielastic neutrino-nucleus cross sections in the energy range from150 MeV to 5 GeV for the target nuclei ¹²Cand ⁵⁶Fe. A relativistic description of the nuclear dynamics andthe neutrino-nucleus coupling is adopted. For the treatment of final-stateinteractions we rely on two frameworks succesfully applied to exclusiveelectron-nucleus scattering: a relativistic optical potential and a relativistic multiple-scatteringGlauber approximation. At lower energies, the optical-potential approach is consideredto be the optimum choice, whereas at high energies aGlauber approach is more natural. Comparing the results of bothcalculations, it is found that the Glauber approach yields validresults down to the remarkably small nucleon kinetic energies of200 MeV. We argue that the nuclear transparencies extracted fromA(e,e^'p) measurements can be used to obtain realistic estimates ofthe effect of FSI mechanisms on quasielastic neutrino-nucleus cross sections.We present two independent relativistic plane-wave impulse approximation (RPWIA) calculationsof quasielastic neutrino-nucleus cross sections. They agree at the percentagelevel, showing the reliability of the numerical techniques adopted andproviding benchmark RPWIA results.

URL:	http://link.aps.org/doi/10.1103/PhysRevC.73.024607
DOI:	10.1103/PhysRevC.73.024607
PACS:	25.30.Pt; 13.15.+g; 24.10.Jv 25.30.Pt Nuclear neutrino scattering 13.15.+g Neutrino interactions 24.10.Jv Relativistic models of nuclei YEAR: 2006
KEYWORDS:	neutrino-nucleus scattering, nuclear optical model, quasi-elastic scattering, electron-nucleus scattering, nuclei with mass number 6 to 19, nuclei with mass number 39 to 58

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