Importance of the Mechanism of Resonance Enhancement of Neutrino Oscillations in Matter for the Precise Testing of the Electroweak Interaction Model. Present Experimental Status of This Resonance Mechanism

The mechanism of resonance enhancement of neutrino oscillations in matter and some critical remarks to this mechanism are considered. Using of this resonance mechanism is very important to examine the model of electroweak interactions since the processes induced by this mechanism grow multiply. In contrast to the electromagnetic and strong interactions in weak interactions, $P$-parity is violated therefore a problem of mass generations in the weak interactions is considered (the interaction must be left-right symmetric for mass generations). It is concluded that a possibility of mass generation in the framework of the weak interactions is not proved. The present experimental status of this resonance mechanism is considered and it is done conclusion that this effect has no clear experimental confirmation. For this purpose it is necessary to fulfil precision experiments with solar neutrinos and the neutrinos passed through the Earth matter.Comment: 27 pages, 5 figure

The Discrete Analogue of the Operator d2m/dx2md^{2m}/dx^{2m} and its Properties

In this paper the discrete analogue $D_m[\beta]$ of the differential operator $d^{2m}/dx^{2m}$ is constructed and its some new properties are proved.Comment: This paper was published in the journal "Questions of Computational and Applied Mathematics". - Tashkent, 198

About virtual pi --> K Meson Oscillations

In the framework of the Standard Model the probability (and time) of pi --> K transitions (oscillations) are computed. These transitions are virtual ones since masses of pi and K mesons differ considerably. These transitions (oscillations) can be registered through K decays after transitions of virtual K mesons to their own mass shell by using their quasielastic strong interactions. But for avoiding the background from inelastic K mesons, the energies E(pi) of pi mesons must be less than the threshold energy of their creation, i.e. E(pi) < 0.91GeV. The optimal distances for observation of these oscillations are computed. Solution of the problem of origin of mixing angle in the theory of vacuum oscillation is given.Comment: LATEX, 10 pages, 2 LATEX figures and no table

Schemes of Neutrino Mixings (Oscillations) and Their Mixing Matrices

Three schemes of neutrino mixings (oscillations) together with their mixing matrices (analogous to Kabibbo-Kobayashi-Maskawa matrices) are considered. In these schemes neutrino transitions are virtual if neutrino masses are different. Two of them belong to the so called mass mixing schemes (mixing parameters are expressed by elements of mass matrices) and the third scheme belongs to the charge mixing scheme (mixing parameters are expressed through charges). In the first scheme system of 6 equations for determination of the all elements of the mass matrix (neutrino masses and transition widths) by using experimental data are obtained. In the second and third ones the neutrino mixing angles are equal or close to maximal angles ($\pi/4$). It is obvious that the experiment must give an answer to the following question: Which of these schemes is realized indeed?Comment: LATEX, 13 pages, no figures and table

Some Unsettled Questions in the Problem of Neutrino Oscillations. Remarks About the Majorana Neutrino Oscillations

It is shown that we cannot put Majorana neutrinos in the standard Dirac theory without violation of the gauge invariance. Experiments on $\nu_l \to l (l = e, \mu, \tau)$ transitions do not confirm this supposition. It means that on neutrino oscillation experiments, the Majorana neutrino oscillations cannot be observed.Comment: LATEX, 4 pages, no figures and table

Is neutrino produced in standard weak interactions a Dirac or Majorana particle?

This work considers the following problem: what type (Dirac or Majorana) of neutrinos is produced in standard weak interactions? It is concluded that only Dirac neutrinos but not Majorana neutrinos can be produced in these interactions. It means that this neutrino will be produced in another type of interaction. Namely, Majorana neutrino will be produced in the interaction which differentiates spin projections but cannot differentiate neutrino (particle) from antineutrino (antiparticle). This interaction has not been discovered yet. Therefore experiments with very high precision are important to detect the neutrinoless double decay.Comment: 9 pages, no figur

Majorana neutrino. Is double neutrinoless beta decay possible in the framework of the weak interactions? How to prove that neutrino is Majorana particle

Usually it is supposed that Majorana neutrino produced in the superposition state $\chi_L = \nu_L + (\nu_L)^c$ and then follows the neutrinoless double beta decay. But since weak interactions are chiral invariant then the neutrino at production has definite helicity (i.e., $\nu_L$ and $(\nu_L)^c$ neutrinos are separately produced and then neutrino is not in the superposition state). This helicity cannot change after production without any external interactions. Thus we see that for unsuitable helicity the neutrinoless double $\beta$ decay is not possible even if neutrino is a Majorana particle. Also transition of Majorana neutrino into antineutrino at their oscillations is forbidden since helicity in vacuum holds. Then only possibility to prove that neutrino is a Dirac but not Majorana particle is detection transition of $\nu_L$ neutrino into (sterile) antineutrino $\bar\nu_R$ (i.e., $\nu_L \to \bar\nu_R$) at neutrino oscillations. Transition Majora neutrino $\nu_L$ into $(\nu_R)^c$ (i.e., $\nu_L \to (\nu_R)^c$) at oscillations is unobserved since it is supposed that mass of $(\nu_R)^c$ is very big.Comment: 12 pages, no figure

Cherenkov effect in the weak interactions generated by the neutrinos and new approach for estimation of neutrino mass

It is shown that if weak interactions can generate masses and polarize matter, then the Cherenkov effect induced by these interactions appears. The resonance ($v_\nu c/n$) effects are competitive processes and at definite neutrino energies the resonance effect will change to the Cherenkov effect and we obtain an excellent possibility of estimating neutrino masses.Comment: 8 pages, no figurie

Higgs Mechanism in the Standard Model and a Possibility of its Direct Physical Realization

The aim of this work was to answer the question: Is the direct physical realization of the Higgs mechanism possible? It is shown that this mechanism cannot have a direct physical realization since the condition for this realization is not fulfilled. It means that if in the new collider at CERN a scalar particle is detected, it does not mean that it is a Higgs particle.Comment: 8 pages, no figure

Problem of oscillations presence at CPCP violation in the system of KoK^o mesons

In this work there are considered two approaches to the description of $K^o, \bar K^o$ meson transitions into $K_S (K^o_1)$ mesons at $CP$ violation in weak interactions. The first approach uses the standard theory of oscillations and the second approach supposes that ($K_S, K_L$) states which arise at $CP$ violation are normalized but not orthogonal state functions then there arise interferences between these states but not oscillations. It is necessary to remark that the available experimental data are in good agreement with the second approach. So we came to the conclusion that oscillations do not arise at $CP$ violation in weak interactions in the system of $K^o$ mesons. Only interference between two - $K_S, K_L$ states takes place there.Comment: 12 pages, 5 figurie