Electromagnetic properties of the massive dirac neutrino in an external electromagnetic field

Borisov, A.; Zhukovskii, V. Ch.; Ternov, Alexei

doi:10.1007/bf00898229

Cited by 26 publications

(32 citation statements)

References 4 publications

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“…Therefore, the most consistent theory of this phenomena can be obtained within the quantum treatment [23]- [26] based on the use of the modified Dirac equation (4) exact solutions. Note that the radiation, which is similar to SLν in matter, can be also emitted by a neutrino moving in the presence of a magnetic field [29]. The transition amplitude between the neutrino initial ψ i and final ψ f states can be written in the following form:…”

Section: Quantum Theory Of Neutrino Spin Light 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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Section: Quantum Theory Of Neutrino Spin Light In Mattermentioning

confidence: 99%

Quantum treatment of neutrino in background matter

Studenikin¹

2006

J. Phys. A: Math. Gen.

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“…A literature search reveals that calculations of the neutrino dispersion relation in external B-fields have a long history [25][26][27]. To compare the different results we introduce the neutrino self-energy operator Σ(p) that is defined in terms of the invariant amplitude for the transition ν → ν by the relation…”

Section: Introductionmentioning

confidence: 99%

Neutrino dispersion in external magnetic fields

et al. 2006

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We calculate the neutrino self-energy operator Σ(p) in the presence of a magnetic field B. In particular, we consider the weak-field limit eB ≪ m 2 ℓ , where m ℓ is the charged-lepton mass corresponding to the neutrino flavor ν ℓ , and we consider a "moderate field" m 2 ℓ ≪ eB ≪ m 2 W . Our results differ substantially from the previous literature. For a moderate field, we show that it is crucial to include the contributions from all Landau levels of the intermediate charged lepton, not just the ground state. For the conditions of the early universe where the background medium consists of a charge-symmetric plasma, the pure B-field contribution to the neutrino dispersion relation is proportional to (eB) 2 and thus comparable to the contribution of the magnetized plasma.

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“…It is in order to remark that in Ref. [11] the problem of neutrino with anomalous magnetic moment was considered in the framework of Dirac-Schwinger equation in an external magnetic field (Furry representation), which leads to a wave equation that differs from our equation (2.8). The two approaches give, however, the same energy spectrum [see Eq.…”

Section: Electrodynamics Of Mixed Particle States Possessing Magnmentioning

confidence: 99%

Evolution of mixed Dirac particles interacting with an external magnetic field

Dvornikov

Maalampi

2007

Physics Letters B

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We study in the framework of relativistic quantum mechanics the evolution of a system of two Dirac neutrinos that mix with each other and have non-vanishing magnetic moments. The dynamics of this system in an external magnetic field is determined by solving the Pauli-Dirac equation with a given initial condition. We consider first neutrino spin-flavor oscillations in a constant magnetic field and derive an analytical expression for the transition probability of spin-flavor conversion in the limit of small magnetic interactions. We then investigate ultrarelativistic neutrinos in an transversal magnetic field and derive their wave functions and transition probabilities with no limitation for the size of transition magnetic moments. Although we consider neutrinos, our formalism is straightforwardly applicable to any spin-1/2 particles.

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Electromagnetic properties of the massive dirac neutrino in an external electromagnetic field

Cited by 26 publications

References 4 publications

Quantum treatment of neutrino in background matter

Quantum treatment of neutrino in background matter

Neutrino dispersion in external magnetic fields

Evolution of mixed Dirac particles interacting with an external magnetic field

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