Dirac and Majorana neutrinos in matter

Grigoriev, A. V.; Studenikin, Alexander; Ternov, Alexei

doi:10.1134/s1063778806110196

Cited by 21 publications

(41 citation statements)

References 20 publications

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“…The quantum method of describing motion of a massive neutrino in a medium developed in [6][7][8]10] can be used to investigate the propagation of other elementary particles in the medium. The method involves summation of diagrams of the examined particle interaction with other particles of the medium and subsequent construction on their basis of the effective Lagrangian that describes interaction with the medium.…”

Section: Modified Dirac Equation In a Mediummentioning

confidence: 99%

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A new mechanism of electromagnetic electron radiation in a medium (spin light)

et al. 2007

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Based on the method of exact solutions to the quantum equations for the wave functions of particles in external fields and media within the framework of the standard interaction model, the modified Dirac equation for the electron is derived that allows its interaction with the medium to be considered. An exact solution to the equation and energy spectrum of the electron states are determined. In the context of this approach, a new type of electromagnetic radiation -spin light of electron in a neutron medium -is predicted and studied. General expressions for the probability of the process in unit time and for the radiation intensity are derived, and a dependence of the radiation intensity on the electron energy and density of the medium is analyzed. The limiting cases of the process and polarization properties of radiation are investigated.

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Section: Modified Dirac Equation In a Mediummentioning

confidence: 99%

“…This approach corresponds to the Furry representation in quantum electrodynamics [5]. This method has recently been used in [6][7][8][9][10][11][12][13][14][15] to describe the influence of the external medium on various processes with participation of neutrinos and charged leptons (electrons).…”

Section: Introductionmentioning

confidence: 99%

A new mechanism of electromagnetic electron radiation in a medium (spin light)

et al. 2007

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“…It should be mentioned that other modifications of the Dirac equation were previously used in [6]- [12] for studies of the neutrino dispersion relations, neutrino mass generation and neutrino oscillations in the presence of matter. Note that the corresponding quantum wave equation for a Majorana neutrino can be obtained from (4) via the substitution 1 + γ 5 → 2γ 5 (see also [27,28]). …”

Section: Neutrino Quantum States In Mattermentioning

confidence: 99%

Quantum treatment of neutrino in background matter

Studenikin¹

2006

J. Phys. A: Math. Gen.

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Abstract. Motivated by the need of elaboration of the quantum theory of the spin light of neutrino in matter (SLν), we have studied in more detail the exact solutions of the Dirac equation for neutrinos moving in the background matter. These exact neutrino wave functions form a basis for a rather powerful method of investigation of different neutrino processes in matter, which is similar to the Furry representation of quantum electrodynamics in external fields. Within this method we also derive the corresponding Dirac equation for an electron moving in matter and consider the electromagnetic radiation ("spin light of electron in matter", SLe) that can be emitted by the electron in this case.

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“…For example, solutions of the modified Dirac equation describing a plane wave in the unpolarized homogeneous medium comprising ordinary particles such as electrons, protons, and neutrons were found in [4]. The phenomena of spin light of neutrino in the medium was studied and quantum theory was constructed based on these solutions in [4][5][6][7] (see also [8,9]). An analytical solution of the modified Dirac equation can also be found for more complex configurations of the medium.…”

Section: Introductionmentioning

confidence: 99%

Quantum states of the neutrino in a nonuniformly moving medium

2007

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The modified Dirac equation for the neutrino in a material medium and its solution for a nonuniform motion of the medium with a velocity gradient along a certain direction are examined in the present paper. This formulation of the problem is analogous to the problem of electron motion in a constant uniform magnetic field. This is manifested through a similar character of particle wave functions that in both cases describe the states with circular orbits. A new mechanism of confinement of low-energy neutrinos in fast-rotating dense astrophysical objects is predicted based on this property of the wave functions. As an example of their application, a process of spin light ( SL ν ) of neutrino is examined in this configuration of matter.

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Dirac and Majorana neutrinos in matter

Cited by 21 publications

References 20 publications

A new mechanism of electromagnetic electron radiation in a medium (spin light)

A new mechanism of electromagnetic electron radiation in a medium (spin light)

Quantum treatment of neutrino in background matter

Quantum states of the neutrino in a nonuniformly moving medium

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