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By reporting to the Dirac wave-packet prescription where it is formally assumed the {\em fermionic} nature of the particles, we shall demonstrate that chiral oscillations implicitly aggregated to the interference between positive and…

High Energy Physics - Theory · Physics 2011-09-13 Alex E. Bernardini

This report deals with the quantum theory of flavor oscillations in vacuum, extended to fermionic particles in the several subtle aspects of the first and second quantization theories. In this scenario, the use of the Dirac equation is…

High Energy Physics - Phenomenology · Physics 2015-03-14 Alex E. Bernardini , Marcelo M. Guzzo , Celso C. Nishi

In the standard treatment of particle 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. To analyze this additional…

High Energy Physics - Phenomenology · Physics 2011-09-13 Alex E. Bernardini , Stefano De Leo

We shall proceed with the construction of normalizable Dirac wave packets for {\em fermionic} particles (neutrinos) with dynamics governed by a ``modified'' Dirac equation with a non-minimal coupling with an external magnetic field. We are…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alex E. Bernardini

We proceed with the construction of normalizable Dirac wave packets for treating chiral oscillations in the presence of an external magnetic field. Both chirality and helicity quantum numbers correspond to variables of fundamental…

High Energy Physics - Theory · Physics 2009-11-10 Alex E. Bernardini

In addition to flavor oscillations, Dirac neutrinos also undergo the so-called chiral oscillations, a consequence of the free-particle dynamics under the Dirac equation. Such a transition between different chiralities affect the flavor…

Quantum Physics · Physics 2024-11-13 Victor Bittencourt , Massimo Blasone , Gennaro Zanfardino

Reporting about the formalism with the Dirac equation we describe the dynamics of chiral oscillations for a fermionic particle non-minimally coupling with an external magnetic field. For massive particles, the chirality and helicity quantum…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alex E. Bernardini , Marcelo M. Guzzo

Flavor oscillation of traveling neutrinos is treated by solving the one-dimensional Dirac equation for massive fermions. The solutions are given in terms of squeezed coherent state as mutual eigenfunctions of parity operator and the…

High Energy Physics - Phenomenology · Physics 2012-08-03 Kelin Wang , Zexian Cao

We study oscillations of Dirac neutrinos in background matter and a plane electromagnetic wave. First, we find the new exact solution of the Dirac-Pauli equation for a massive neutrino with the anomalous magnetic moment electroweakly…

High Energy Physics - Phenomenology · Physics 2019-02-20 Maxim Dvornikov

Spin-flavor oscillations of Dirac neutrinos in matter and a magnetic field are studied using the method of relativistic quantum mechanics. Using the exact solution of the wave equation for a massive neutrino, taking into account external…

High Energy Physics - Phenomenology · Physics 2012-02-13 Maxim Dvornikov

We study spin and spin-flavor oscillations of Dirac neutrinos in a plane electromagnetic wave with circular polarization. The evolution of massive neutrinos with nonzero magnetic moments in the field of an electromagnetic wave is based on…

High Energy Physics - Phenomenology · Physics 2018-11-01 Maxim Dvornikov

We obtain a relativistically covariant wave equation for neutrinos in dense matter and electromagnetic field, which describes both flavor oscillations and neutrino spin rotation. Using this equation we construct a quasi-classical theory of…

High Energy Physics - Phenomenology · Physics 2020-01-24 A. V. Chukhnova , A. E. Lobanov

Massive Dirac particles are a superposition of left and right chiral components. Since chirality is not a conserved quantity, the free Dirac Hamiltonian evolution induces chiral quantum oscillations, a phenomenon related to the…

High Energy Physics - Phenomenology · Physics 2021-05-26 Victor A. S. V. Bittencourt , Alex E. Bernardini , Massimo Blasone

We ponder about neutrino oscillations; a particle without a clear identity, a neutrino of a given flavor in fact does not satisfy the Dirac equation (which is used to define the mass eigen-states and mass eigen-values). This alters the…

High Energy Physics - Phenomenology · Physics 2015-11-04 W-Y. Pauchy Hwang

We investigate neutrino flavor oscillations in vacuum within a general conformal coupling model. We first examine the flavor oscillations within the plane-wave description of neutrinos, and then we extend our analysis to the…

High Energy Physics - Phenomenology · Physics 2022-09-28 Fayçal Hammad , Parvaneh Sadeghi , Nicolas Fleury

Dirac particles have two intrinsic degrees-of-freedom, helicity and chirality. While helicity is conserved in time, chirality is not constant under time evolution for massive particles, yielding the phenomenon of chiral oscillations. So…

High Energy Physics - Phenomenology · Physics 2024-08-30 Victor Bittencourt , Massimo Blasone , Gennaro Zanfardino

We study the phenomena of neutrino oscillations and flavour mixing by incorporating the gravitational effects through the Dirac equation in curved spacetime inside a spherically symmetric star. We show that the flavour transition…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Siddhartha Bandyopadhyay , Golam Mortuza Hossain

The theory of neutrino flavor rotations is discussed in terms of wave function solutions to the Dirac equation with a neutrino mass matrix. We give a critical review of the nature of neutrino oscillations.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Widom , Y. N. Srivastava

We study the systems of scalar and spinor particles with mixing emitted by external classical sources. The particles wave functions exactly accounting for external sources are obtained directly from the Lorentz invariant wave equations in…

High Energy Physics - Phenomenology · Physics 2009-02-20 Maxim Dvornikov

We study the evolution of massive mixed Dirac and Majorana neutrinos in matter under the influence of a transversal magnetic field. The analysis is based on relativistic quantum mechanics. We solve exactly the evolution equation for…

High Energy Physics - Phenomenology · Physics 2009-07-09 Maxim Dvornikov , Jukka Maalampi
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