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Phys. Rev. C 71, 065501 (2005) [15 pages]

Semirelativistic description of quasielastic neutrino reactions and superscaling in a continuum shell model

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J. E. Amaro1, M. B. Barbaro2, J. A. Caballero3, T. W. Donnelly4, and C. Maieron5
1Departamento de Física Moderna, Universidad de Granada, Granada E-18071, Spain
2Dipartimento di Fisica Teorica, Università di Torino and INFN, Sezione di Torino Via P. Giuria 1, I-10125 Torino, Italy
3Departamento de Física Atómica, Molecular y Nuclear Universidad de Sevilla, Apdo. 1065, E-41080 Sevilla, Spain
4Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
5INFN, Sezione di Catania, Via Santa Sofia 64, I-95123 Catania, Italy

Received 23 March 2005; published 9 June 2005

The so-called semirelativistic expansion of the weakly charged current in powers of the initial nucleon momentum is performed to describe charge-changing, quasielastic neutrino reactions (νμ,μ-) at intermediate energies. The quality of the expansion is tested by comparing it with the relativistic Fermi gas model using several choices of kinematics of interest for ongoing neutrino oscillation experiments. The new current is then implemented in a continuum shell model together with relativistic kinematics to investigate the scaling properties of (e,e') and (νμ,μ-) cross sections.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.71.065501
DOI:
10.1103/PhysRevC.71.065501
PACS:
25.30.Pt, 25.30.Fj, 24.10.Jv, 21.60.Cs