Nuclear null tests for spacelike neutrinos

Chodos, Alan; Kostelecký, Alan; Iuhet,

doi:10.1016/0370-2693(94)90535-5

Cited by 17 publications

(23 citation statements)

References 16 publications

(22 reference statements)

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“…The processes are kinematically allowed for tachyonic (spacelike) neutrinos, and in the case of LPCR, above a certain energy threshold dependent on the neutrino mass. We base our treatment on a Lorentz-covariant theory of tachyonic (faster-than-light) spin-1/2 particles, i.e., on the tachyonic Dirac (not Majorana) equation [1][2][3][4][5]. Solutions of this equation [6][7][8][9][10] fulfill the Lorentz covariant dispersion relation E = ( k 2 − m 2 ν ) 1/2 , where E is the energy and k is the spatial momentum vector, while m ν is the tachyonic parameter, corresponding to a negative Lorentz-invariant mass square −m 2 ν .…”

Section: Introductionmentioning

confidence: 99%

Calculation of the decay rate of tachyonic neutrinos against charged-lepton-pair and neutrino-pair Cerenkov radiation

Nándori

Ehrlich

2017

J. Phys. G: Nucl. Part. Phys.

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We consider in detail the calculation of the decay rate of high-energy superluminal neutrinos against (charged) lepton pair Cerenkov radiation (LPCR), and neutrino pair Cerenkov radiation (NPCR), i.e., against the decay channels ν → ν e + e − and ν → ν ν ν. Under the hypothesis of a tachyonic nature of neutrinos, these decay channels put constraints on the lifetime of high-energy neutrinos for terrestrial experiments as well as on cosmic scales. For the oncoming neutrino, we use the Lorentz-covariant tachyonic relation Eν = p 2 − m 2 ν , where mν is the tachyonic mass parameter. We derive both threshold conditions as well as decay and energy loss rates, using the plane-wave fundamental bispinor solutions of the tachyonic Dirac equation. Various intricacies of rest frame versus lab frame calculations are highlighted. The results are compared to the observations of high-energy IceCube neutrinos of cosmological origin.

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Section: Introductionmentioning

confidence: 99%

Calculation of the decay rate of tachyonic neutrinos against charged-lepton-pair and neutrino-pair Cerenkov radiation

Nándori

Ehrlich

2017

J. Phys. G: Nucl. Part. Phys.

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“…The neutrino is generally regarded as the most prominent candidate for a superluminal particle in the lowenergy domain [20,[22][23][24][25], However, the existence of conceivable superluminal particles in hitherto unexplored kinematic regions cannot be excluded, either; our study is of theoretical nature and not tied to a specific particle. It has recently been argued [1,2] that the tachyonic theory of spin-1/2 particles is easier to implement as compared to spinless particles, and we here continue this line of thought by analyzing a theory where the imaginary mass is used explicitly in the Dirac equation, rather than a matrix representation thereof.…”

Section: A Theory and Experimentsmentioning

confidence: 92%

Dirac Hamiltonian with Imaginary Mass and Induced Helicity—Dependence by Indefinite Metric

Jentschura

2012

JMP

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It is of general theoretical interest to investigate the properties of superluminal matter wave equations for spin one-half particles. One can either enforce superluminal propagation by an explicit substitution of the real mass term for an imaginary mass, or one can use a matrix representation of the imaginary unit that multiplies the mass term. The latter leads to the tachyonic Dirac equation, while the equation obtained by the substitution m → i m in the Dirac equation is naturally referred to as the imaginary-mass Dirac equation. Both the tachyonic as well as the imaginary-mass Dirac Hamiltonians commute with the helicity operator. Both Hamiltonians are pseudo-Hermitian and also possess additional modified pseudo-Hermitian properties, leading to constraints on the resonance eigenvalues. Here, by an explicit calculation, we show that specific sum rules over the spectrum hold for the wave functions corresponding to the well-defined real energy eigenvalues and complex resonance and anti-resonance energies. In the quantized imaginary-mass Dirac field, one-particle states of right-handed helicity acquire a negative norm ("indefinite metric") and can be excluded from the physical spectrum by a Gupta-Bleuler type condition.

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“…In other words, the Lorentz-violating contribution can open the phase space of conventionally forbidden processes as well as blocking certain processes that would be otherwise allowed. Take for instance the leptonic decay of a charged meson M + of the form M + → l + + ν l , which becomes forbidden above some threshold energy E th [19,[39][40][41][42][43][44][45][46]. The observation of the decay products at a given energy E 0 can then be used to establish the threshold condition E th > E 0 .…”

Section: Oscillation-free Signalsmentioning

confidence: 99%

Testing Lorentz and CPT Invariance with Neutrinos

Díaz

2016

Symmetry

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Nuclear null tests for spacelike neutrinos

Abstract: Recently, a type of null experiment for spacelike neutrinos has been proposed. We examine in detail a class of null tests involving nuclear beta decay or capture in atoms and ions. The most promising candidate systems are identified.

Cited by 17 publications

References 16 publications

Calculation of the decay rate of tachyonic neutrinos against charged-lepton-pair and neutrino-pair Cerenkov radiation

Calculation of the decay rate of tachyonic neutrinos against charged-lepton-pair and neutrino-pair Cerenkov radiation

Dirac Hamiltonian with Imaginary Mass and Induced Helicity—Dependence by Indefinite Metric

Testing Lorentz and CPT Invariance with Neutrinos

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