Neutrino quantum states and spin light in matter

Abstract

On the basis of the exact solutions of the modified Dirac equation for a massive neutrino moving in matter we develop the quantum theory of the spin light of neutrino (SLν). The expression for the emitted photon energy is derived as a function of the density of matter for different matter compositions. The dependence of the photon energy on the helicities of the initial and final neutrino states is shown explicitly.The rate and radiation power of the SLν in matter are obtained with the emitted photon linear and circular polarizations being accounted for. The developed quantum approach to the SLν in matter (which is similar to the Furry representation of electrodynamics) can be used in the studies of other processes with neutrinos in the presence of matter.

Creation of Dirac neutrinos in a dense medium with a time-dependent effective potential

“…III A are consistent with wave functions that are obtained for timedependent effective potentials (see also Ref. [20]). Now, we consider solutions (4.1) at t 1 ≤ t ≤ t 2 .…”

Plasma Induced Neutrino Radiative Decay Instead of Neutrino Spin Light

“…Just this situation called the "spin light of neutrino" (SLν), was first proposed and investigated in detail in an extended series of papers [9][10][11][12][13]. However, in the analysis of this effect the authors overlooked such an important phenomenon as plasma influence on the photon dispersion.…”

“…One more physical parameter, a great attention was payed to in the SLν analysis [9][10][11][12][13], was the neutrino vacuum mass m ν . As the scale of neutrino vacuum mass could not exceed essentially a few electron-volts, which is much less than typical plasmon mass scales for real astrophysical situations, see Eqs.…”

Neutrinos and electrons in background matter

“…Within the standard model interaction of electron neutrinos and electrons with matter composed of neutrons, the modified Dirac equations are [1,2,3,4] …”

“…For unpolarized matter f µ = G F √ 2 (n n , n n v), n n and v are, respectively, the neutron number density and overage speed. We have obtained the wave functions for neutrinos and electrons in the following form [1,2,3,4] …”