Abstract
The usual choice of an orthogonal set of four plane-wave solutions of the free-particle Dirac equation does not lend itself readily to direct and complete physical interpretation in the case of Dirac neutrino particle. A different choice of solutions can be made which yields a direct physical interpretation at all energies. Besides the separation of positive and negative energy states there is a further separation of states for which the spin is respectively parallel or antiparallel to the direction of the momentum vector. This can be obtained from the Maxwell’s equation without charges and current in the configuration. Scenery of our study is at high temperature T where coexist electron-positron pair and neutrino-antineutrino pair, (i.e., T≥1 MeV). Taking into consideration the possibility of negative mass, we can describe the observed behavior of antimatter in response to electromagnetic fields by assuming that the anti Dirac neutrino has a negative mass, so a new causal symmetry can be obtained.
Highlights
Neutrino electromagnetic properties, which are the main subject of this paper, are of particular importance because they provide a kind of bridge to “new physics” beyond the standard model
This cosmic neutrino background (CNB) has not been detected yet, but it presence is indirectly established by the accurate agreement between the calculated and observed primordial abundances of light elements, as well as from the analysis of the power spectrum of cosmic microwave background (CMB) anisotropies and other cosmological observables
Observations indicate that neutron stars have magnetic fields higher than 1012 G so neutrino-antineutrino pair is generated. In this form we have a close connection between the Dirac neutrino equation and the Maxwell’s equation, with a direct and complete physical interpretation in the E H configuration
Summary
Neutrino electromagnetic properties, which are the main subject of this paper, are of particular importance because they provide a kind of bridge to “new physics” beyond the standard model. In order to provide such an explanation, many models and mechanisms have been proposed: in the so-called see-saw models, the lightness of the neutrino mass scale is a consequence of the heaviness of another scale This scale is the lepton-number-violating (LNV) Majorana mass of the extra right-handed neutrinos in type I see-saw [9]. The existence of a relic sea of neutrinos is a generic feature of the standard hot big bang model, in number only slightly below that of relic photons that constitute the cosmic microwave background (CMB) This cosmic neutrino background (CNB) has not been detected yet, but it presence is indirectly established by the accurate agreement between the calculated and observed primordial abundances of light elements, as well as from the analysis of the power spectrum of CMB anisotropies and other cosmological observables. T T which is the ratio between the temperatures of relic photons and neutrinos
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