Coulomb law and energy levels in a superstrong magnetic field

The analytical expression for the Coulomb potential in the presence of a superstrong magnetic field is derived. The structure of hydrogen levels originating from LLL is analyzed

On the completion of Skorokhod space

We consider the classical Skorokhod space D[0,1] and the space of continuous functions C[0,1] equipped with the standard Skorokhod distance ρ. It is well known that neither (D[0,1],ρ) nor (C[0,1],ρ) is complete. We provide an explicit description of the corresponding completions. The elements of these completions can be regarded as usual functions on [0,1] except for a countable number of instants where their values vary “instantly"

TeV-scale bileptons, see-saw type II and lepton flavor violation in core-collapse supernova

Electrons and electron neutrinos in the inner core of the core-collapse supernova are highly degenerate and therefore numerous during a few seconds of explosion. In contrast, leptons of other flavors are non-degenerate and therefore relatively scarce. This is due to lepton flavor conservation. If this conservation law is broken by some non-standard interactions, electron neutrinos are converted to muon and tau-neutrinos, and electrons - to muons. This affects the supernova dynamics and the supernova neutrino signal. We consider lepton flavor violating interactions mediated by scalar bileptons, i.e. heavy scalars with lepton number 2. It is shown that in case of TeV-mass bileptons the electron fermi gas is equilibrated with non-electron species inside the inner supernova core at a time-scale of order of (1-100) ms. In particular, a scalar triplet which generates neutrino masses through the see-saw type II mechanism is considered. It is found that supernova core is sensitive to yet unprobed values of masses and couplings of the triplet.Comment: accepted to Eur.Phys.J.

Equivalent photons at the LHC: pp(γγ) → ppl+l-, Pb Pb (γγ) → Pb Pb l+l-

The Large Hadron Collider is considered as a photon-photon collider with the photons produced in ultraperipheral collisions of protons or heavy ions. The equivalent photon approximation is applied to derive analytical formulae for the fiducial cross sections of reactions pp(γγ) → pp μ+μ- and Pb Pb (γγ) → Pb Pb μ+μ-. The results are compared to the measurements reported by the ATLAS collaboration

Equivalent photons at the LHC:

The Large Hadron Collider is considered as a photon-photon collider with the photons produced in ultraperipheral collisions of protons or heavy ions. The equivalent photon approximation is applied to derive analytical formulae for the fiducial cross sections of reactions pp(γγ) → pp μ+μ- and Pb Pb (γγ) → Pb Pb μ+μ-. The results are compared to the measurements reported by the ATLAS collaboration

Pomeranchuk 100

This book provides extended versions of the talks given at the memorial Pomeranchuk-100 Conference, June 5–6, held in the Institute of Theoretical and Experimental Physics, Moscow, Russia and the review of the 2013 Pomeranchuk Prize Winner — Mikhail Shifman. It shall provide a broad review of the current status of the research in the high energy physics and astrophysics

Resonances in positron scattering on a supercritical nucleus and spontaneous production of e+e- pairs

Solving the Dirac equation for a positron in the Coulomb field of a nucleus with Z > Zcr we observe (confirm) the resonance dependence of the scattering phase δx on the energy εp of the positron. A physical interpretation of these resonances is suggested

Zeroes of the e+e- → f̄f cross section and search for new physics

We suggest returning to a different presentation of the e+e- → f̄f data off the Z peak, with the hope of using zeroes of specific amplitudes to enhance the sensitivity to new physics.SCOPUS: ar.jinfo:eu-repo/semantics/publishe