<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ν</mml:mi><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>Δ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>n</mml:mi>

Alvarez‐Ruso, L.; Singh, Sweta; Vacas, M. J. Vicente

doi:10.1103/physrevc.59.3386

Cited by 81 publications

(115 citation statements)

References 44 publications

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“…More specifically, the empty circle is obtained when the ∆−resonance contribution to the imaginary part of U is kept in the evaluation of the imaginary part of the π− and ρ−selfenergies in Eqs. (29) and (44). There are some other W + N N → N N π mechanisms which should be taken into account, as well as the contribution of higher resonances [58].…”

Section: Resultsmentioning

confidence: 99%

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Inclusive charged-current neutrino-nucleus reactions

2011

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We present a model for weak CC induced nuclear reactions at energies of interest for current and future neutrino oscillation experiments. This model is a natural extension of the work of Refs. [1,2], where the QE contribution to the inclusive electron and neutrino scattering on nuclei was analyzed. The model is based on a systematic many body expansion of the gauge boson absorption modes that includes one, two and even three body mechanisms, as well as the excitation of ∆ isobars. The whole scheme has no free parameters, besides those previously adjusted to the weak pion production off the nucleon cross sections in the deuteron, since all nuclear effects were set up in previous studies of photon, electron and pion interactions with nuclei. We have discussed at length the recent charged current quasi-elastic MiniBooNE cross section data, and showed that two nucleon knockout mechanisms are essential to describe these measurements.

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Section: Resultsmentioning

confidence: 99%

“…The matter of π production induced by neutrinos is also of much interest [29][30][31][32][33][34][35][36]. The elementary reaction on the nucleon, at low and intermediate energies, includes both background and resonant mechanisms.…”

Section: Introductionmentioning

confidence: 99%

Inclusive charged-current neutrino-nucleus reactions

2011

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“…Pion production from a nucleon can come either through a resonance (typically, the A resonance) or through a nonresonant process. The N ^ A weak coupling strength, C5 (0), is a key parameter governing the overall strength because at Q2 -^ 0, do/dt <x [C5 (0)] 2 [50]. .…”

Section: Microscopic Modelsmentioning

confidence: 99%

Comparison of Models of Neutrino-Nucleus Interactions

Boyd¹,

Dytman²,

Hernández³

et al. 2009

AIP Conference Proceedings

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“…[34] for the electron analogue eN → e ′ N ′ π reaction. Most previous studies [35,36,37,38,39,40,41,42,43] of these processes considered only the dominant ∆ pole mechanism in which the neutrino excites a ∆(1232) resonance that subsequently decays into N π. In our model we have also included background terms required by chiral symmetry (See Fig.…”

Section: Introductionmentioning

confidence: 99%

Theoretical study of neutrino-induced coherent pion production off nuclei at T2K and MiniBooNE energies

Hernández²,

et al. 2009

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We have developed a model for neutrino-induced coherent pion production off nuclei in the energy regime of interest for present and forthcoming neutrino oscillation experiments. It is based on a microscopic model for pion production off the nucleon that, besides the dominant ∆ pole contribution, takes into account the effect of background terms required by chiral symmetry. Moreover, the model uses a reduced nucleon-to-∆ resonance axial coupling, which leads to coherent pion production cross sections around a factor two smaller than most of the previous theoretical estimates. In the coherent production, the main nuclear effects, namely medium corrections on the ∆ propagator and the final pion distortion, are included. We have improved on previous similar models by taking into account the nucleon motion and employing a more sophisticated optical potential. As found in previous calculations the modification of the ∆ self-energy inside the nuclear medium strongly reduces the cross section, while the final pion distortion mainly shifts the peak position to lower pion energies. The angular distribution profiles are not much affected by nuclear effects. Nucleon motion increases the cross section by ∼ 15% at neutrino energies of 650 MeV, while Coulomb effects on charged pions are estimated to be small. Finally, we discuss at length the deficiencies of the Rein-Sehgal pion coherent production model for neutrino energies below 2 GeV, and in particular for the MiniBooNE and T2K experiments. We also predict flux averaged cross sections for these two latter experiments and K2K.

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νd→μ−Δ++n

Cited by 81 publications

References 44 publications

Inclusive charged-current neutrino-nucleus reactions

Inclusive charged-current neutrino-nucleus reactions

Comparison of Models of Neutrino-Nucleus Interactions

Theoretical study of neutrino-induced coherent pion production off nuclei at T2K and MiniBooNE energies

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