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A model of diffractive neutrino scattering is formulated in terms of the chiral hadronic current which is conserved in the limit of vanishing pion mass. This current has the correct singularity structure and, naturally, does not lead to…

High Energy Physics - Phenomenology · Physics 2015-06-15 V. A. Novikov , V. R. Zoller

The Adler relation between reactions initiated by neutrinos and pions is easy to misinterpret as a manifestation of the pion pole dominance. An axial current, however, cannot fluctuate into a pion, but only to heavy axial-vector states,…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Z. Kopeliovich

Coherent pion 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 production of positively charged pions is…

High Energy Physics - Phenomenology · Physics 2009-12-07 Christoph Berger

Coherent pi^+ and pi^0 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 pi^+ production is…

High Energy Physics - Phenomenology · Physics 2010-04-30 Ch. Berger , L. M. Sehgal

The light-cone distribution amplitudes for the axial current are derived within the instanton vacuum model (IVM), which incorporates nonperturbative effects including spontaneous chiral symmetry breaking. This allows to extend applicability…

High Energy Physics - Phenomenology · Physics 2011-09-14 B. Z. Kopeliovich , Ivan Schmidt , M. Siddikov

The Adler relation (AR), which bridges soft interactions of neutrinos and pions, might look as a manifestation of pion dominance. However neutrino cannot fluctuate to a pion because of lepton current conservation, instead it interacts via…

High Energy Physics - Phenomenology · Physics 2012-10-02 B. Z. Kopeliovich , I. K. Potashnikova , Ivan Schmidt , M. Siddikov

We show the necessity of two-nucleon axial currents and associated pion emission/ absorption operators for the partial conservation of the axial current (PCAC) nuclear matrix elements with arbitrary nuclear dynamics described by a…

Nuclear Theory · Physics 2008-11-26 V. Dmitrasinovic , T. Sato

In this article, we present the charged and neutral current coherent pion production in the neutrino-nucleus interaction in the resonance region using the formalism based on the partially conserved axial current (PCAC) theorem which relates…

High Energy Physics - Phenomenology · Physics 2018-05-31 Kapil Saraswat , Prashant Shukla , Vineet Kumar , Venktesh Singh

The relevance of the axial current for pion production processes off the nucleon with real or virtual photons is revisited. Employing the hypothesis of a partially conserved axial current (PCAC), it is shown that, when all of the relevant…

Nuclear Theory · Physics 2009-11-06 Helmut Haberzettl

In this talk I review the main features of the coherent/diffractive pion production by neutrinos on nuclei. The method is based on PCAC and relates the reaction $\textbf{boson} + \textbf{nucleus} \to \textbf{pion} + \textbf{nucleus}$ to…

High Energy Physics - Phenomenology · Physics 2015-05-14 E. A. Paschos , Dario Schalla

Effects of coherence in neutrino-production of pions off nuclei are studied employing the color dipole representation and path integral technique. If the nucleus remains intact, the process is controlled by the interplay of two length…

High Energy Physics - Phenomenology · Physics 2013-05-30 B. Z. Kopeliovich , Ivan Schmidt , M. Siddikov

Coherent pion production by neutrinos has been interpreted in the framework of the Partially Conserved Axial Current hypothesis (PCAC) and explicit model calculations are available. In this article we compute angular correlations for the…

High Energy Physics - Phenomenology · Physics 2014-03-18 A. Higuera , E. A. Paschos

Heavy baryon chiral perturbation theory ($\chi$PT), where the $\Delta$ resonance is included, is used in order to examine the axial charged-current component of the weak interaction process at low neutrino energies. At leading chiral order…

Nuclear Theory · Physics 2019-03-13 Fred Myhrer

In this article, we study the coherent pion production in neutrino-nucleus interaction in the resonance region using the formalism based on partially conserved axial current (PCAC) theorem which relates the neutrino-nucleus cross section to…

High Energy Physics - Phenomenology · Physics 2016-04-06 Kapil Saraswat , Prashant Shukla , Vineet Kumar , Venktesh Singh

We show that diffractive production of a single neutral pion in photon-induced reactions at high energy is dynamically suppressed due to the approximate chiral symmetry of QCD. These reactions have been proposed as a test of the odderon…

High Energy Physics - Phenomenology · Physics 2011-09-13 Carlo Ewerz , Otto Nachtmann

The main part of coherent pion production by neutrinos on nuclei is essentially determined by PCAC, provided that the leptonic momentum transferred square Q^2 remains sufficiently small. We give the formulas for the charged and neutral…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. A. Paschos , A. Kartavtsev , G. J. Gounaris

We discuss the axial form factors of the nucleon within the context of the nonrelativistic chiral quark model. Partial conservation of the axial current (PCAC) imposed at the quark operator level enforces an axial coupling for the…

Nuclear Theory · Physics 2009-11-07 D. Barquilla-Cano , A. J. Buchmann , E. Hernández

We explore a consistent way to extend the partially conserved axial vector current (PCAC) relationship and corresponding current algebra results in two strongly correlated directions: 1) towards a search for a set of systematic rules for…

Nuclear Theory · Physics 2008-02-03 S. Ying

Leading neutron production on protons is known to be subject to strong absorptive corrections, which have been under debate for a long time. On nuclear targets these corrections are significantly enhanced and push the partial cross sections…

Nuclear Theory · Physics 2017-04-05 B. Z. Kopeliovich , I. K. Potashnikova , Ivan Schmidt

We present a study of coherent pion production in neutrino-nucleus interactions using the formalism based on partially conserved axial current theorem which connects the neutrino-nucleus cross section to the pion-nucleus elastic scattering…

High Energy Physics - Phenomenology · Physics 2022-07-20 Hariom Sogarwal , Prashant Shukla
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