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dc.contributor.CRUESPUniversidade Estadual de Campinaspt_BR
dc.typeArtigo de periódicopt_BR
dc.titleQuantum flavor oscillations extended to the Dirac theorypt_BR
dc.contributor.authorBernardini, AEpt_BR
dc.contributor.authorGuzzo, MMpt_BR
dc.contributor.authorNishi, CCpt_BR
unicamp.authorBernardini, A. E. Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP, Brazilpt_BR
unicamp.authorGuzzo, M. M. Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083970 Campinas, SP, Brazilpt_BR
unicamp.authorNishi, C. C. Univ Fed ABC, BR-09210170 Santo Andre, SP, Brazilpt_BR
dc.subjectDirac equationpt_BR
dc.subjectquantum field theorypt_BR
dc.subject.wosExternal Magnetic-fieldpt_BR
dc.subject.wosNeutrino Chiral Oscillationspt_BR
dc.subject.wosResonant Amplificationpt_BR
dc.subject.wos2nd-order Correctionspt_BR
dc.subject.wosConversion Formulaspt_BR
dc.subject.wosMassive Neutrinospt_BR
dc.subject.wosParticle Physicspt_BR
dc.description.abstractFlavor oscillations by itself and its coupling with chiral oscillations and/or spin-flipping are the most relevant quantum phenomena of neutrino physics. This report deals with the quantum theory of flavor oscillations in vacuum, extended to fermionic particles in the several subtle aspects of the first quantization and second quantization theories. At first, the basic controversies regarding quantum-mechanical derivations of the flavor conversion formulas are reviewed based on the internal wave packet (IWP) framework. In this scenario, the use of the Dirac equation is required for a satisfactory evolution of fermionic mass-eigenstates since in the standard treatment of oscillations the mass-eigenstates are implicitly assumed to be scalars and, consequently, the spinorial form of neutrino wave functions is not included in the calculations. Within first quantized theories, besides flavor oscillations, chiral oscillations automatically appear when we set the dynamic equations for a fermionic Dirac-type particle. It is also observed that there is no constraint between chiral oscillations, when it takes place in vacuum, and the process of spin-flipping related to the helicity quantum number, which does not take place in vacuum. The left-handed chiral nature of created and detected neutrinos can be implemented in the first quantized Dirac theory in presence of mixing; the probability loss due to the changing of initially left-handed neutrinos to the undetected right-handed neutrinos can be obtained in analytic form. These modifications introduce correction factors proportional to m(v)(2)/E-v(2) that are very difficult to be quantified by the current phenomenological analysis. All these effects can also be identified when the non-minimal coupling with an external (electro) magnetic field in the neutrino interacting Lagrangian is taken into account. In the context of a causal relativistic theory of a free particle, one of the two effects should be present in flavor oscillations: (a) rapid oscillations or (b) initial flavor violation. Concerning second quantized approaches, a simple second quantized treatment exhibits a tiny but inevitable initial flavor violation without the possibility of rapid oscillations. Such effect is a consequence of an intrinsically indefinite but approximately well defined neutrino flavor. Within a realistic calculation in pion decay, including the quantum field treatment of the creation process with finite decay width, it is possible to quantify such violation. The violation effects are shown to be much larger than loop induced lepton flavor violation processes, already present in the standard model in the presence of massive neutrinos with mixing. For the implicitly assumed fermionic nature of the Dirac theory, the conclusions of this report lead to lessons concerning flavor mixing, chiral oscillations, interference between positive and negative frequency components of Dirac equation solutions, and the field formulation of quantum oscillations. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheimpt
dc.relation.ispartofFortschritte Der Physik-progress Of Physicspt_BR
dc.relation.ispartofabbreviationFortschritte Phys.-Prog. Phys.pt_BR
dc.publisherWiley-v C H Verlag Gmbhpt_BR
dc.identifier.citationFortschritte Der Physik-progress Of Physics. Wiley-v C H Verlag Gmbh, v. 59, n. 41795, n. 372, n. 453, 2011.pt_BR
dc.sourceWeb of Sciencept_BR
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)pt_BR
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)pt_BR
dc.description.sponsorship1Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)pt_BR
dc.description.sponsorship1Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)pt_BR
dc.description.sponsordocumentnumberFAPESP [08/50671-0, 09/11309-7, 04/00220-1]pt
dc.description.sponsordocumentnumberCNPq [300233/2010-8, 309455/2009-0, 303937/2009-2]pt
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