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Lepton mass effects in single pion production by neutrinos
Phys. Rev. D 76, 113004 – Published 27 December, 2007Erratum Phys. Rev. D 77, 059901 (2008)
DOI: https://doi.org/10.1103/PhysRevD.76.113004
Abstract
We reconsider the Feynman-Kislinger-Ravndal model applied to neutrino-excitation of baryon resonances. The effects of lepton mass are included, using the formalism of Kuzmin, Lyubushkin, and Naumov. In addition we take account of the pion-pole contribution to the hadronic axial vector current. Application of this new formalism to the reaction at gives a suppressed cross section at small angles, in agreement with the screening correction in Adler’s forward-scattering theorem. Application to the process at leads to the prediction of right-handed polarization for forward-going leptons, in line with a calculation based on an isobar model. Our formalism represents an improved version of the Rein-Sehgal model, incorporating lepton mass effects in a manner consistent with partially conserved axial-vector current.
Erratum
Erratum: Lepton mass effects in single pion production by neutrinos [Phys. Rev. D 76, 113004 (2007)]
Article Text
References (16)
- A. A. Aguilar-Arevalo et al. (MiniBoone Collaboration), arXiv:0706.0926; Phys. Rev. Lett. 98, 231801 (2007); (SciBoone Collaboration), hep-ex/0601022; E. C. Schulte (Minerva Collaboration), Acta Phys. Pol. B 37, 2379 (2006); P. Adamson et al. (MINOS Collaboration), Phys. Rev. D 73, 072002 (2006); J. Morfin, Nucl. Phys. B, Proc. Suppl. 149, 233 (2005); K. S. McFarland, 159, 107 (2006); G. P. Zeller, Proc. 3rd Int. Conf. on Neutrino Oscillations in Venice (NO-VE) (2006), p. 103; R. Tayloe, in Proceedings of NuInt07, Fermilab, Batavia, Illinois, 2007 (to be published).
- B. Fleming (MiniBoone Collaboration), Proceedings of NuInt07, Fermilab, Batavia, Illinois, 2007 (to be published).
- M. Hasegawa et al. (K2K Collaboration), Phys. Rev. Lett. 95, 252301 (2005).
- M. Wascko, Nucl. Phys. B, Proc. Suppl. 159, 50 (2006).
- D. Rein and L. M. Sehgal, Phys. Lett. B 657, 207 (2007).
- K. Abe et al. (Superkamiokande Collaboration), Phys. Rev. Lett. 97, 171801 (2006). M. Aoki et al., arXiv:hep-ph/0611255.
- D. Rein and L. M. Sehgal, Ann. Phys. (N.Y.) 133, 79 (1981).
- R. P. Feynman, M. Kislinger, and F. Ravndal, Phys. Rev. D 3, 2706 (1971).
- F. Ravndal, Nuovo Cimento A 18, 385 (1973).
- K. S. Kuzmin, V. V. Lyubushkin, and V. A. Naumov, Mod. Phys. Lett. A 19, 2815 (2004).
- S. L. Adler, Phys. Rev. 135, B963 (1964); Ann. Phys. (N.Y.) 50, 189 (1968); arXiv:hep/0505177.
- D. Rein and L. M. Sehgal, Nucl. Phys. B223, 29 (1983).
- E. A. Paschos, Ji-Young Yu, and M. Sakuda, Phys. Rev. D 69, 014013 (2004); S. K. Singh and M. J. Vicente Vacas, 74, 053009 (2006); L. Alvarez-Ruso, L. S. Geng, S. Hirenzaki, and M. J. Vicente Vacas, Phys. Rev. C 75, 055501 (2007).
- K. S. Kuzmin, V. V. Lyubushkin, and V. A. Naumov, Nucl. Phys. B, Proc. Suppl. 139, 158 (2005).
- K. Hagiwara, K. Mawatari, and H. Yokoya, Nucl. Phys. B668, 364 (2003); arXiv:hep-ph/0305324.
- K. M. Graczyk and J. T. Sobczyk, arXiv:0709.4634v1.