arXiv subjects

Josip Soln

Publications and source records attributed to Josip Soln.

4 recordsLinked to original sources

arXiv2014

Theoretical Particle Limiting Velocity From The Bicubic Equation: Neutrino Example

There has been a lot of interest in measuring the velocities of massive elementary particles, particularly the neutrinos. Some neutrino experi- ments at first observed superluminal neutrinos, thus violating the velocity of light c as a limiting velocity. But, after eliminating some mistakes, such as, for the OPERA experiments plugging the cable correctly and calibrat- ing the clock correctly, the measured neutrino velocity complied with c. Pursuing the theoretical side of particle limiting velocities, here directly from the special relativistic kinematics, in which all physical quantities are in the overall mathematical consistency with each other, one treats formally the velocity of light c as yet to be deduced particle limiting ve- locity, and derives the bicubic equation for the particle limiting velocity in the arbitrary reference frame.

physics.gen-ph↗

arXiv2011

Cross-sections of long and short baseline neutrino and antineutrino oscillations of which some change the flavor

The Pontecorvo-Maki-Nakagava-Sakata (PMNS) modified electroweak Lagrangian yields, within the perturbative kinematical procedure in the massive neutrino Fock space, in addition to the Lorentz invariant standard model (SM) neutrino and antineutrino cross-sections, also the "infinitesimal" neutrino and antineutrino cross-sections some of which are either conserving or violating the Lorentz symmetry as well as also either conserving or violating the flavor symmetry. Some of these infinitesimal differential cross-sections can be extended into the space oscillation region beyond the collision point. The extension goes along the baseline defined by the flavor neutrino or antineutrino scattering angle. Each of these oscillation differential cross-sections, being sinusoidal, change sign along the baseline; some start positive and some negative at the collision point. For each of them one seeks the baseline distance to the first differential cross-section maximum.

physics.gen-ph↗

arXiv2009

Massive neutrinos, Lorentz invariance dominated standard model and the phenomenological approach to neutrino oscillations

For the electroweak interactions, the massive neutrino perturbative kinematical procedure is developed in the massive neutrino Fock space. This yields the dominant Lorentz invariant Standard Model mass-less flavor neutrino cross-sections as well as the neutrino oscillation cross-sections some of which are Lorentz invariance and flavor conservation violating. But all these oscillating cross-sections being proportional to the squares of neutrino masses are practically unobservable in the laboratory; however, they are consistent with the original Pontecorvo neutrino oscillating transition probability expression at short time (baseline), as presented by Dvornikov. Then, by mimicking the time dependence of the original Pontecorvo neutrino oscillating transition probability, one can formulate the dimensionless neutrino intensity-probability I, by phenomenological extrapolating the time t, or, equivalently the baseline distance L away from the collision point for the oscillating differential cross-section. For the incoming neutrino of 10MeV in energy and neutrino masses from Fritzsch analysis with the neutrino mixing matrix of Harrison, Perkins and Scott, the baseline distances at the first two maxima of the neutrino intensity are L=281km and L=9279km . The intensity I at the first maximum conserves the flavor, while at the second maximum; the intensities violate the flavor, respectively, in the final and initial state. At the end some details are given as to how these neutrino oscillations away from the collision point one should be able to verify experimentally.

hep-ph↗

arXiv2009

Procedure with Massive Neutrinos for the Standard Model Processes with Negligible Lorentz Invariance Violation

For the electroweak interactions, the massive neutrino perturbative kinematical procedure is developed in the massive neutrino Fock space; The perturbation expansion parameter is the ratio of the neutrino mass to its energy. This procedure, with the Pontecorvo-Maki-nakagawa-Sakata modified electroweak Lagrangian, calculates the cross-sections with the new neutrino energy projection operators in the massive neutrino Fock space, resulting in the Standard Model mass-less flavor neutrino cross-sections, plus the Lorentz non-invariant neutrino oscillation cross-sections which are proportional to the squares of neutrino masses and, as such, practically unobservable in the laboratory. This scheme reinforces the notion that the mass-less flavor neutrino can be considered as the superposition of three massive neutrinos.

hep-ph↗