Oscillations Do Not Distinguish Between Massive and Tachyonic Neutrinos

Caban, Paweł; Rembieliński, Jakub; Smoliński, Kordian A.; Walczak, Zbigniew

doi:10.1007/s10702-006-1015-4

Cited by 21 publications

(31 citation statements)

References 17 publications

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“…(13) and (15) lead to the evolution of the two particle state obtained by taking a symmetrized (the particles are indistinguishable) tensor product of single particle evolution (see [17]). Now, consider the Kossakowski-Lindblad master equation for the evolution of observable Ω(t) in the Heisenberg picture…”

Section: A Master Equation In Second Quantization Formalismmentioning

confidence: 99%

“…[12,13]). Recently, this approach was successfully applied to the systems of particles with flavour oscillations (like in the case of neutral kaons or B mesons) [14][15][16], and it has been used successfully in the description of EPR correlations and evolution of entanglement in K 0 K 0 system [17,18]. In this theory the evolution of a quantum system is described by the master equation [19], which can be treated as the replacement for either von Neumann or Heisenberg equations, for the picture of quantum mechanics in use.…”

Section: Introductionmentioning

confidence: 99%

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Neutral kaons as an open quantum system in a second quantization approach

Smoliński

2015

Phys. Rev. A

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We have shown that it is possible to formulate the consistent and probability-preserving description of the CP -symmetry-violating evolution of a system of decaying particles. This has been done within the framework of quantum mechanics of open systems. This approach allows the description of both the exponential decay and flavour oscillations. We have solved explicitly the Kossakowski-Lindblad master equation for a system of particles with violated CP symmetry and found the evolution of any observable bilinear in creation and annihilation operators. The choice of a concrete observable can be done by the proper choice of initial conditions for the system of differential equations. We have calculated the evolution as well as mean values of the observables most interesting from the physical point of view, and we have found their lowest order difference with the CP -preserved values.

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Section: A Master Equation In Second Quantization Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Neutral kaons as an open quantum system in a second quantization approach

Smoliński

2015

Phys. Rev. A

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“…In principle, the formalism of neutrino oscillation in the tachyonic case is the same as for an ordinary neutrino [12], but it appears difficult to come to pact with the robust informations coming from neutrino oscillation experiments. Indeed, these experiments put stringent bounds on the difference of neutrino masses squared: |∆m 2 32 | ≈ 2.4 × 10 −3 eV 2 and ∆m 2 21 ≈ 7.6 × 10 −5 eV 2 [13].…”

Section: E Oscillations: Game Overmentioning

confidence: 99%

The hypothesis of superluminal neutrinos: Comparing OPERA with other data

Drago

Masina

Pagliara³

et al. 2012

EPL

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Abstract:The OPERA Collaboration reported evidence for muonic neutrinos traveling slightly faster than light in vacuum. While waiting further checks from the experimental community, here we aim at exploring some theoretical consequences of the hypothesis that muonic neutrinos are superluminal, considering in particular the tachyonic and the Coleman-Glashow cases. We show that a tachyonic interpretation is not only hardly reconciled with OPERA data on energy dependence, but that it clashes with neutrino production from pion and with neutrino oscillations. A Coleman-Glashow superluminal neutrino beam would also have problems with pion decay kinematics for the OPERA setup; it could be easily reconciled with SN1987a data, but then it would be very problematic to account for neutrino oscillations.

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“…Recently, the open quantum system approach was also applied to the systems of particles with flavour oscillations (like in the case of neutral kaons) [35,36], and it has been used successfully in the description of EPR correlations and evolution of entanglement in K 0 K 0 system [37,38].…”

Section: Introductionmentioning

confidence: 99%

“…Here, we follow the approach presented in [35,37,38]. However, in these works the considerations were restricted to systems of at most two particles, and transition from oneparticle to two-particle theory was done by means of tensor product construction.…”

Section: Introductionmentioning

confidence: 99%

Many Unstable Particles from an Open Quantum System's Perspective

Smoliński

2014

Open Syst. Inf. Dyn.

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We postulate a master equation, written in the language of creation and annihilation operators, as a candidate for unambiguous quantum mechanical description of unstable particles. We have found Kraus representation for the evolution driven by this master equation and study its properties. Both Schrödinger and Heisenberg picture of the system evolution are presented. We show that the resulting time evolution leads to exponential decay law. Moreover, we analyse mixing of particle flavours and we show that it can lead to flavour oscillation phenomenon.

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Oscillations Do Not Distinguish Between Massive and Tachyonic Neutrinos

Abstract: It is shown that the hypothesis of tachyonic neutrinos leads to the same oscillations effect as if they were usual massive particles. Therefore, the experimental evidence of neutrino oscillations does not distinguish between massive and tachyonic neutrinos.

Cited by 21 publications

References 17 publications

Neutral kaons as an open quantum system in a second quantization approach

Neutral kaons as an open quantum system in a second quantization approach

The hypothesis of superluminal neutrinos: Comparing OPERA with other data

Many Unstable Particles from an Open Quantum System's Perspective

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