Neutrino oscillations and exact eigenstates in magnetic field

Popov, Artem; Studenikin, Alexander

Neutrino oscillations and exact eigenstates in magnetic field

Artem Popov
(
- Moscow State U.
)
,
Alexander Studenikin
(
- Moscow State U. and
- Dubna, JINR
)

Mar 15, 2018

7 pages

e-Print:

1803.05755 [hep-ph]

View in:

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Abstract: (arXiv)

We further develop a recently proposed new approach to the description of the relativistic neutrino flavour

\nu_e^L \leftrightarrow \nu_{\mu}^L

, spin

\nu_e^L \leftrightarrow \nu_{e}^R

and spin-flavour

\nu_e^L \leftrightarrow \nu_{\mu}^R

oscillations in a constant magnetic field that is based on the use of the exact neutrino stationary states in the magnetic field. The neutrino flavour, spin and spin-flavour oscillations probabilities are calculated accounting for the whole set of possible conversions between four neutrino states. In general, the obtained expressions for the neutrino oscillations probabilities exhibit new inherent features in the oscillation patterns. It is shown, in particular, that: 1) in the presence of the transversal magnetic field for a given choice of parameters (the energy and magnetic moments of neutrinos and the strength of the magnetic field) the amplitude of the flavour oscillations

\nu_e^L \leftrightarrow \nu_{\mu}^L

at the vacuum frequency is modulated by the magnetic field frequency, 2) the neutrino spin oscillation probability (without change of the neutrino flavour) exhibits the dependence on the mass square difference

\Delta m^2

.

Note:

More references, two figures and a detailed discussion on physical results are added, the Abstract is also modified accordingly

neutrino: relativistic
neutrino: oscillation
neutrino: flavor
flavor: oscillation
oscillation: frequency
frequency: time dependence
neutrino: spin: oscillation
neutrino: magnetic moment
magnetic field: constant
magnetic field: effect

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