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2009
DOI: 10.1103/physrevd.79.053003
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Partially conserved axial vector current and coherent pion production by low energy neutrinos

Abstract: Coherent π+ and π • production in low energy neutrino reactions is discussed in the framework of the partially conserved axial vector current theory (PCAC). The role of lepton mass effects in suppressing the π + production is emphasized. Instead of using models of pion nucleus scattering, the available data on pion Carbon scattering are implemented for an analysis of the PCAC prediction. Our results agree well with the published upper limits for π + production but are much below the recent MiniBooNE result for… Show more

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Cited by 125 publications
(132 citation statements)
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References 32 publications
(29 reference statements)
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“…Based on previous measurements of CC coherent π + production [42], they conclude that σ(CCcohπ + ) σ(NCcohπ 0 ) SciBooNE = 0.14 +0.30 −0.28 . This result can not be accommodated within our model, or any other present theoretical model, neither microscopic [9][10][11]13] nor PCAC based [1,2,43,44]. Theoretically, this ratio cannot be much smaller than 1.4-1.6.…”
Section: New Resultscontrasting
confidence: 68%
“…Based on previous measurements of CC coherent π + production [42], they conclude that σ(CCcohπ + ) σ(NCcohπ 0 ) SciBooNE = 0.14 +0.30 −0.28 . This result can not be accommodated within our model, or any other present theoretical model, neither microscopic [9][10][11]13] nor PCAC based [1,2,43,44]. Theoretically, this ratio cannot be much smaller than 1.4-1.6.…”
Section: New Resultscontrasting
confidence: 68%
“…By its nature, coherent scattering involves a very small fourmomentum transfer to the target nucleus and so its contribution is confined to very low Q 2 . Different models are commonly used; while NEUT and GENIE use different implementations of the Rein-Sehgal [31] model, NuWro uses the Berger-Sehgal [48] model. NEUT predicts a distinctly larger rate for coherent reaction (9) than does GENIE.…”
Section: Dσ/dq 2 Of Cc(π) Reactionsmentioning
confidence: 99%
“…These authors utilize an improved description of the pion-nucleus interaction [44]. At low energies, elastic scattering is parameterized by partial waves.…”
Section: • Berger-sehgalmentioning
confidence: 99%