Neutrino as Specific Magnetic γ-Quantum

In the present work, the consideration is being given to the possibility that neutrinos are specific magnetic γ -quanta (magnetic solitons), devoid electric components. It is shown that the creation of these magnetic γ -quanta in the empty space (in the ether) can be understood on the basis of standard Maxwell theory. As a rule, electrodynamics states that the electromagnetic waves are created by oscillations of dipoles. These waves have obligatorily electric and magnetic components. A magnetic γ -quantum radiates when a nuclear reaction creates a relativistic particle possessing a magnetic moment that the original particle does not have. Due to the lack of magnetic monopoles in nature, magnetic γ -quanta weakly interact with matter. This property allows to identify them with neutrinos. This concept finds confirmation in the fact that by following it we get a new insight into the nature of π -meson and μ meson, and become able to calculate their masses with a good precision. It is supposed needed to repeat the Lederman’s experiment at low energy of neutrinos.


Introduction
The neutrinos are neutral fundamental particles, which now seems mysterious because of their extremely weak interaction with matter. The elucidation of the causes of this mystery is a most important objective of this field of physics.
W. Pauli was the first who proposed the idea of the existence of neutrinos. He suggested the possibility of their existence in an effort to save the law of conservation of energy in β -decay.
Further detailed study of β -decays gave the first experimental evidence of neutrino's possible existence. However, in order to speak with confidence about the existence of neutrinos, it was necessary to detect neutrinos in a free state at some distance from the place of their birth. where the nuclear reactor served as the source of neutrinos. They firstly determined that the value of cross section of the antineutrino capture was very small.
Further studies of nuclear reactions that took place with the participation of neutrinos have shown that neutrinos existed in two different modifications: neutrino and antineutrino.
The conclusion about the existence of muonic neutrinos and electronic neutrinos was made by L. Ledermanom and his colleagues on the basis of results of their experiment ( Figure 1). In this experiment, a beam of protons with energy of 15 GeV, was aimed at a beryllium target, which was a source of πmesons.
The decay of π -mesons gave a beam of µ -mesons and neutrinos. The detector was protected from all particles by a powerful iron shield. Only neutrinos could pass through it to cause reactions: . p n n p ν µ ν µ Wherein, the electronic modes of these reactions in Lederman's experiment p n e ν + + = + (2) n p e ν − + = + (3) have not been detected.
On the basis of this experiment, it was concluded that neutrinos, if they were formed at the birth of muons, carried some muonic "charge", so they could participate in the future reactions of the birth of exclusive muons.

Photons and Neutrinos
There is another particle in nature-the photon, which has some common features with the neutrino. Neutrinos and photons are stable particles that move in space with the speed of light. Neutrinos, the same as photons have no electrical charge and mass.
Let us consider the properties of photons, that form an electromagnetic wave. Plane polarized electromagnetic waves in vacuum have two orthogonal components. Electric field oscillates in a plane perpendicular to the propagation vector. If the source of the electromagnetic wave is a magnetic dipole m , then the oscillation amplitude of the electric field away from it will be [1] [2]: The magnetic field oscillates in plane perpendicular to the electric field and the direction of propagation: We can see from these formulas that the amplitude of oscillations of the electric field in the wave depends on the second time derivative of the function describing the oscillating dipole only.
At the same time the oscillation amplitude of the magnetic field depends also on the first time derivative. This contribution is R λ times less than the contribution from the second derivative and it can be ignored.
. In this case, the wave will be deprived from the electric component. Only magnetic wave with the intensity proportional to  m , will propagate in space. If photon with both magnetic and electric components is circularly polarized, its spin equals to  . It seems natural to assume that a circularly polarized In the absence of magnetic monopoles a magnetic photon must interact extremely faintly with matter and the length of its free path in the medium should be about two dozen orders of magnitude greater than that for conventional photon [2].
However, it should be emphasized that the periodically oscillating magnetic dipole (as electric dipole too) always excites the electromagnetic wave with an electric component. Therefore, at any circumstances, an oscillating dipole can not radiate a purely magnetic photon.

The Heaviside's Function and Its Derivatives
Alternatively, a quickly emerging magnetic moment must excite oscillations in the ether.
π -meson has no magnetic moment, but µ -meson has it. The transformation of π -meson into µ -meson occurs in a very short time.
The evaluation of this time can be obtained using the uncertainty relation: A little less time required for the conversion of µ -meson into electron.
The sudden appearance of the magnetic moment at these conversions can be described by the Heaviside function.
The Heaviside's stair function equals to zero for negative argument and 1 for positive one. At zero, this function requires further definition. Usually, it considered to be convenient, at zero to set it equal to 1/2: The first derivative of the Heaviside's function Wherein, the second derivative of Heaviside's function is absent (Figure 3).

Neutrinos and Antineutrinos
The magnetic dipole moment occurs very quickly at the β -decay.
In accordance with the electromagnetic model of neutron, the generalized momentum (spin) of relativistic electron is equal to zero if it forms a neutron [3].
Thus the magnetic moment of electron becomes unobservable. At the β -decay of a neutron, an electron acquires freedom, and with it a spin and magnetic moment. For the emitted electron with a speed close to the speed of light, this Thus, δ -shaped surge magnetic field arising after a sudden onset of magnetic moment of electron can be identified as an antineutrino.
Another implementation of magnetic γ -quantum should arise at the reverse process that is at the K-capture. In this process, electron initially forms an atom shell and has its own magnetic moment and spin. At a certain moment it is captured by nucleus and forms neutron together with proton.
This process can be described by the inverse Heaviside function. This function is equal to 1 at negative times and reset at 0 t = : In this process should occur magnetic γ -quantum with reverse orientation of the field relative to its propagation vector R (Figure 4).
Such "reverse" surge corresponds to the neutrino in the K-capture reaction: . p e n ν + − + → +

Mesons as Excited States of Electron
The chain of transformations of π − -meson → µ − -meson → electron gives birth to three neutrinos ( Figure 2).
No other products besides neutrino and antineutrino do occur in these reactions. That leads us to an assumption that the pion and muon should be the excited states of electron.
These mesons have masses where [ ] This value of mass is very close to the mass of µ meson (12) which has spin = 2  : (20)

Types of Neutrinos
The reactions of antineutrino and neutrino with nucleons have muonic and electronic modes: The Lederman's experiment has shown that those neutrinos that were born in the transformation pion → muon can participate only in muonic modes of reactions in the future. While electronic modes are not implemented at all. This result is surprising. All neutrinos-muonic and electronic-are born with the abrupt appearance of magnetic moments. The Heaviside's functions describing this process have only one variable. The stair has two meanings only: up or down. This is in according with existence of neutrinos or antineutrinos (Figure 4). Heaviside's stairs can not have any other parameters. It is impossible to put any label for them. Magnetic gamma-quanta can not bear any specific muonic and electronic "charges".
This seems quite unnecessary to assume that the birth of a free electron in the ground state and the birth of it in the excited state (as muon) must be described in different Heaviside's stairs.
Differences may be in the magnitude of these stairs. But because of a wide range of energies characteristic for neutrinos at β -decay, this parameter can not distinguish the types of neutrinos.

The Lederman's Experiment
The primary beam of protons with energy of 15 GeV was used in the L.
Lederman's experiment [4]. As a result of their interaction with the target, a beam of highly energetic charged π -mesons was formed. In turn at their decay, highly energetic charged µ -mesons and neutrinos were created.
In future, the muonic reaction mode was observed only and e-mode reaction was not registered.
On this basis, it was concluded on the existence of specific muon-type neutrinos. This conclusion would be true if these reactions would be equally probable. However, this is not the case, since products of these reactions have different phase volumes.
For example, let's turn our attention on the reaction of the charged π -meson decay. This decay has two modes: Measurements show that the muonic mode of this reaction is more probable for 4 10 times.
The reason of the electronic channel suppression is that these reactions generate relativistic electrons.
Because of the kinetic energy of electrons in this decay much more of their mass and their helicity is preserved with good accuracy, this mode of decay must be suppressed relatively to the muon mode on the factor [5] At time when L. Lederman with his colleagues made their measurements, this was not known and this factor can not be taken into account.
For this reason we can assume, that L. Lederman and his colleagues found no electrons and positrons not because neutrinos had a specific muon "charge" but due to the strong suppression of the electron channel of reaction.

How to Clarify the Lederman's Experiment?
The primary proton beam used Lederman had very high energy. This helped him to form a large beam of neutrinos flying forward. However, this advantage led to the suppression of the electronic mode of reaction. However, it should be noted that the registration of the electron mode in this case is complicated by the fact that the decay of π -meson will take place in 4π -angle.
To improve the geometry of this experiment one can raise energy of primary protons to about 360 MeV. At that the threshold of muon birth would not yet been achieved, but the registration of the electron mode should increase by several times due to more favorable flux of neutrinos.
It is important that if we increase the energy of the proton primary beam just about only 10 MeV, produced neutrinos will be able to induce the muonic mode of reaction and e-mode in this case must be suppressed.

Neutrinos and β -Decay
According to the electromagnetic model, neutron is a corpuscle in which relativistic electron revolves around proton [2] [3] [6].
In this description of neutron, one can seen a lot in common with the model of Bohr hydrogen atom. The difference is that the electron shell of Bohr atom is formed by non-relativistic electron, and in case of neutron, it is relativistic. Currently, there are measurements, suggesting the possible influence of the flux of reactor neutrinos on β -decay.
Measurement of the neutron lifetime in the last century were carried out on reactors of relatively low power. The average result of these measurements has been reduced to the lifetime 885.7 0.8 s ± ( Figure 5).
In 2004, these measurements were taken on the powerful research reactor in Grenoble [7]. These measurements gave the value of the neutron lifetime 878.5 0.7 0.3 s ± ± . This value on 6 standard errors differs from the equally accurate measurements carried out earlier on reactors with less power. The explanation for this fact is currently not found.
It can be assumed that the observed difference may be possible arose due to neutrino flux of the powerful reactor.

Conclusions
Thus, the concept of magnetic γ -quanta allows us to understand all main features of neutrinos: -neutrinos almost never interact with matter because magnetic monopoles do not exist; -spin of neutrino is equal to 2  as they have no the electrical component; -neutrinos arise in β -decay as the magnetic moment occurs at the same; -there are two types of neutrinos because there are two types of stairs.