Berry phase for oscillating neutrinos

Blasone, Massimo; Henning, Peter A.; Vitiello, Giuseppe

doi:10.1016/s0370-2693(99)01137-5

Cited by 30 publications

(47 citation statements)

References 9 publications

(10 reference statements)

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“…By following the BV prescription [15], which takes into account the above definitions, it was demonstrated [20] that the flavor conversion formula can be written as…”

Section: Iii3 a Brief Extension To Quantum Field Treatmentmentioning

confidence: 99%

Flavor and chiral oscillations with Dirac wave packets

Bernardini

2005

Phys. Rev. D

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Abstract. We report about recent results on Dirac wave packets in the treatment of neutrino flavor oscillation where the initial localization of a spinor state implies an interference between positive and negative energy components of mass-eigenstate wave packets. A satisfactory description of fermionic particles requires the use of the Dirac equation as evolution equation for the mass-eigenstates. In this context, a new flavor conversion formula can be obtained when the effects of chiral oscillation are taken into account. Our study leads to the conclusion that the fermionic nature of the particles, where chiral oscillations and the interference between positive and negative frequency components of mass-eigenstate wave packets are implicitly assumed, modifies the standard oscillation probability. Nevertheless, for ultra-relativistic particles and sharply peaked momentum distributions, we can analytically demonstrate that these modifications introduce correction factors proportional to m 2 1,2 /p 2 0 which are practically un-detectable by any experimental analysis.

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“…By following the BV prescription [15], which takes into account the above definitions, it was demonstrated [20] that the flavor conversion formula can be written as…”

Section: Iii3 a Brief Extension To Quantum Field Treatmentmentioning

confidence: 99%

Flavor and chiral oscillations with Dirac wave packets

Bernardini

2005

Phys. Rev. D

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“…By following the BV prescription [22], which takes into account the above definitions, it was demonstrated [27] that the flavor conversion formula can be written as…”

Section: A Brief Extension To Quantum Field Treatmentmentioning

confidence: 99%

Dirac spinors and flavor oscillations

Bernardini

Leo

2004

Eur. Phys. J. C

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Abstract. 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 effect, we discuss the oscillation probability formula obtained by using the Dirac equation as evolution equation for the neutrino mass eigenstates. The initial localization of the spinor state also implies an interference between positive and negative energy components of mass eigenstate wave packets which modifies the standard oscillation probability.

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“…In this framework, there has been recently a remarkable progress in the study of the problem of field mixing in Quantum Field Theory (QFT) [8,9,10,11,12,13,14,15,16,17,18,19,20]. It is important to remark that, in spite of the fact of being usually treated in Quantum Mechanics (QM), the mixing between states of different masses is not even allowed in a non-relativistic theory due to the Bargmann superselection rules [21].…”

Section: Introductionmentioning

confidence: 99%

Neutrino oscillations from relativistic flavor currents

2003

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By resorting to recent results on the relativistic currents for mixed (flavor) fields, we calculate a space-time dependent neutrino oscillation formula in Quantum Field Theory. Our formulation provides an alternative to existing approaches for the derivation of space dependent oscillation formulas and it also accounts for the corrections due to the non-trivial nature of the flavor vacuum. By exploring different limits of our formula, we recover already known results. We study in detail the case of one-dimensional propagation with gaussian wave-packets both in the relativistic and in the non-relativistic regions: in the last case, numerical evaluations of our result show significant deviations from the standard formula.

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Berry phase for oscillating neutrinos

Abstract: We show the presence of a topological (Berry) phase in the time evolution of a mixed state. For the case of mixed neutrinos, the Berry phase is a function of the mixing angle only.Comment: 7 pages, Revte

Cited by 30 publications

References 9 publications

Flavor and chiral oscillations with Dirac wave packets

Flavor and chiral oscillations with Dirac wave packets

Dirac spinors and flavor oscillations

Neutrino oscillations from relativistic flavor currents

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