Neutrino oscillations in cosmological spacetime

Mandal, Susobhan

doi:10.1016/j.nuclphysb.2021.115338

Cited by 9 publications

(5 citation statements)

References 46 publications

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“…( 42) is simplified and we obtain the Schwarzschild solution. Consequently, the expressions for and also simplify, yielding the same result as in Schwarzschild spacetime [16,11]:…”

Section: A Radial Propagationmentioning

confidence: 87%

“…These flavor eigenstates are combinations of mass eigenstates represented by . Therefore, a flavor eigenstate can be expressed in terms of mass eigenstates as discussed in [16,40],…”

Section: Wkb Approximation For Dirac Equationmentioning

confidence: 99%

“…The behavior of neutrino oscillations in the Schwarzschild spacetime has also been investigated taking into account spin precession in the presence of a magnetic field [14,15]. Notably, both radial and nonradial propagations of neutrinos in the Schwarzschild spacetime have been examined [16]. Finally, the effects of universe expansion and torsion on neutrino oscillations have also been studied [17].…”

Section: Introductionmentioning

confidence: 99%

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Neutrino oscillations in the Non-Kerr black hole with quantum phenomenon*

Alibekov,

Atamurotov,

Abdujabbarov

et al. 2024

Chinese Phys. C

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In this paper, we have investigated the mathematical components of the Dirac equation in curved space-time and how it can be applied to the analysis of neutrino oscillations. More specifically, we have developed a method for calculating the phase shift in flavor neutrino oscillations by utilizing a Taylor series expansion of the action, taking into account $\Delta m^4$ orders. In addition, we have used this method to assess how the phase difference in neutrino mass eigenstates changes due to the gravitational field described by the Johannsen spacetime.

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“…( 42) is simplified and we obtain the Schwarzschild solution. Consequently, the expressions for and also simplify, yielding the same result as in Schwarzschild spacetime [16,11]:…”

Section: A Radial Propagationmentioning

confidence: 87%

“…These flavor eigenstates are combinations of mass eigenstates represented by . Therefore, a flavor eigenstate can be expressed in terms of mass eigenstates as discussed in [16,40],…”

Section: Wkb Approximation For Dirac Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Neutrino oscillations in the Non-Kerr black hole with quantum phenomenon*

Alibekov,

Atamurotov,

Abdujabbarov

et al. 2024

Chinese Phys. C

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“…We summarize the mathematical background of the neutrino oscillation in the Minkowski space-time following the method in Ref. 28 . Dirac field theory is defined by introducing the following action which yields the following equation of motion where are the Dirac-gamma matrices , m is the mass of the particle and is the wave function of the spin-1/2 particle.…”

Section: Theory Of the Neutrino Oscillationmentioning

confidence: 99%

Anomalous cyclic in the neutrino oscillations

Aydıner

2023

Sci Rep

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Neutrino physics is one of the most important topics in particle physics and cosmology. As it is known, neutrinos are weakly interacting fundamental particles with chargeless and very small masses. One of the most characteristic features of the neutrino that make a difference from other elementary particles is that it oscillates between the mass and flavour eigenstates. Due to these oscillations, neutrinos change from one flavour to another. So far in theory the possible effects of deformed space-time effects on oscillation have not been considered. In this study, we show for the first time that a deformed space-time metric will lead to fractional dynamics between mass and flavour changes and therefore cause a phase shift in the oscillation period. We also shortly discuss the possible relation between anomalous cyclic and relic neutrinos. The modification in the oscillation probabilities due to the studied effect in this work could be seen using relic neutrinos.

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“…We summarize the mathematical background of the neutrino oscillation in the Minkowski space-time following the method in Ref. [20]. Dirac field theory is defined by introducing the following action…”

Section: Theory Of the Neutrino Oscillationmentioning

confidence: 99%

Anomalous Cyclic in the Neutrino Oscillations

Aydıner¹

2022

Preprint

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Neutrino physics is one of the most important topics in particle physics and cosmology. Despite the many physical properties of neutrinos were understand theoretically and experimentally, it is known that there are many unsolved problems in this area. In this study, we suppose that the deformed space-time caused by the gravitational perturbation can play an important role on the neutrino oscillations. We analytically analyzed these effect on the neutrino oscillation and showed that this effect leads to an anomalous cyclic in the neutrino oscillation. Results clearly indicates that these anomalous cyclic are depending on the degree of deformation of the space-time. The role of this anomaly in neutrino oscillation may be important. There may be a relation between with this cyclic anomaly and other anomalous of neutrinos such as mass limits, energy limits, oscillation lengths, mixing angles, speed of neutrinos. The cyclic anomalies might be detected experimentally. If these anomalies are confirmed, it will appear that we need to think more about neutrino physics.

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Neutrino oscillations in cosmological spacetime

Cited by 9 publications

References 46 publications

Neutrino oscillations in the Non-Kerr black hole with quantum phenomenon*

Neutrino oscillations in the Non-Kerr black hole with quantum phenomenon*

Anomalous cyclic in the neutrino oscillations

Anomalous Cyclic in the Neutrino Oscillations

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