2004
DOI: 10.1142/s0217732304016172
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Lepton Polarization in Neutrino–nucleon Interactions

Abstract: We derive generic formulas for the polarization density matrix of leptons produced in νN and νN collisions and briefly consider some important particular cases. Next we employ the general formalism in order to include the final lepton mass and spin into the popular model by Rein and Sehgal for single pion neutrinoproduction. k ⋆ y = k ′ y ⋆ = 0. These conditions lead to the following system of equations:

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Cited by 87 publications
(95 citation statements)
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“…More recently, this same data has been re-analyzed using modern vector form factors as input. The use of improved non-dipole vector form factors (10) slightly shifts the best-fit axial mass values obtained from this data; however the conclusion is still that MA≈1.0 GeV (11,12). These results are consistent with those obtained from the electro-production of pions produced near threshold (9).…”
Section: -Early Investigations Of the Weak Hadronic Currentsupporting
confidence: 84%
“…More recently, this same data has been re-analyzed using modern vector form factors as input. The use of improved non-dipole vector form factors (10) slightly shifts the best-fit axial mass values obtained from this data; however the conclusion is still that MA≈1.0 GeV (11,12). These results are consistent with those obtained from the electro-production of pions produced near threshold (9).…”
Section: -Early Investigations Of the Weak Hadronic Currentsupporting
confidence: 84%
“…The generalization proposed in [52,53] takes into account the final lepton mass and is based upon a covariant form of the charged leptonic current with definite lepton helicity. In our MC simulation we use the same set of 18 interfering nucleon resonances with masses below 2 GeV as in [50] but with all relevant input parameters updated according to the current data [49,54].…”
Section: Single-pion Production Through Intermediate Baryon Resonancesmentioning
confidence: 99%
“…The value of the axial mass parameter M RES A = 1.12 GeV has been derived in Ref. [10] by fitting to the data available at that time. All known nucleon resonances with masses below ≈ 2 GeV are included and the interference of their amplitudes is properly taken into account according to Ref.…”
Section: Models and Parametersmentioning
confidence: 99%
“…This point will be discussed at length in a forthcoming paper. Here we only mention the effect of finite lepton mass to the leptonic currents [6], including the pion-pole contribution into the weak hadronic current [9], the effect of interference between the 08003-p. 2 Very Large Volume Neutrino Telescope (VLVnT-2015) Dashed, dash-dotted and thin solid lines correspond to contributions from QES, RES and DIS, respectively. Shaded bands show the uncertainties.…”
Section: Models and Parametersmentioning
confidence: 99%