The effect of plasmon mass on spin light of neutrino in dense matter

Abstract

We develop the theory of spin light of neutrino in matter ($SL\nu$) and include the effect of plasma influence on the emitted photon. We use the special technique based on exact solutions of particles wave equations in matter to perform all the relevant calculations, and track how the plasmon mass enters the process characteristics including the neutrino energy spectrum, $SL\nu$ rate and power. The new feature it induces is the existence of the process threshold for which we have found the exact expression and the dependence of the rate and power on this threshold condition. The $SL\nu$ spatial distribution accounting for the above effects has been also obtained. These results might be of interest in connection with the recently reported hints of ultra-high energy neutrinos $E = 1 \div 10$ PeV observed by IceCube.Comment: 8 pages, 2 figures, v2: typos corrected, discussions adde

Relativistic electrons spin states and spin light in dense neutrino fluxes

“…We have termed this effect the "spin light of electron in neutrino flux" (SLe ν ) and considered the SLe ν radiation rate, power and emitted photon energy. The mechanism of the proposed new phenomenon is similar to one of the spin light of neutrino in matter (SLν) [3,4,5,6]. The latter effect is possible in the case of nonzero neutrino magnetic moments [7] (for a recent status of neutrino electromagnetic properties see a review [8]).…”

“…For the SLν in matter these effects have been discussed in details in [5,6,16]. In [1,2] we have shown that the effect of nonzero emitted photon mass (the plasmon mass m γ ) in the case of SLe ν is not important, mγ Gnδ ≪ 1.…”

Spin light of relativistic electrons in neutrino fluxes

“…The electromagnetic wave propagation in the background environment is influenced by the plasma effects. For the SLν in matter these effects have been discussed in details in [6,19,20]. In [14] we have shown that the effect of nonzero emitted photon mass (the plasmon mass m γ ) in the case of SLe ν is not important, mγ Gnδ 1.…”

Neutrino spin light efficiency in Gamma-Ray Bursts

“…The spin light of neutrino [1] originates from the neutrino-photon magnetic moment coupling and from splitting of the neutrino energy over the helicity s = ±1, induced by external environment (see [2,3,4] and references therein). The total rate and power of the radiation in homogeneous neutron matter (far from the threshold, see below),…”