Quantization of magnetic flux and electron-positron pair creation

Journal of Experimental and Theoretical Physics Letters, 2001

Damping of an electromagnetic wave in a strong magnetic field is analyzed in the kinematic region near the threshold of electron-positron pair production. Damping of the electromagnetic field is shown to be noticeably nonexponential in this region. The resulting width of the photon γ → e + e − decay is considerably smaller than previously known results.

Journal of Applied Mathematics and Physics, 2022

At very high energies, pair production formation (N e e γ + − + →) exhibits a − + operation. Furthermore, we can show that in Pair Production operation, the Differential Cross Section (DCS) owing to the target nucleus's Electric Quadrupole (EQ) and Magnetic Octupole (MO) are bigger than the Differential Cross Section (DCS) attributable to the target nucleus's Electric Charge (EC) distribution and Magnetic Dipole (MD).

Physical Review D, 2008

Treating the production of electron and positron pairs by a strong electric field from the vacuum as a quantum tunneling process we derive, in semiclassical approximation, a general expression for the pair production rate in a z-dependent electric field E(z) pointing in the z-direction. We also allow for a smoothly varying magnetic field parallel to E(z). The result is applied to a confined field E(z) = 0 for |z| < ∼ ℓ, a semi-confined field E(z) = 0 for z > ∼ 0, and a linearly increasing field E(z) ∼ z. The boundary effects of the confined fields on pair-production rates are exhibited. A simple variable change in all formulas leads to results for electric fields depending on time rather than space.

Physical Review Letters, 2004

A probability of electron-positron pair production by photons in strong nonuniform fields is derived by applying a model trajectory method in the frame of a semiclassical approach. In addition to the well known invariant field parameter \ksi, a new invariant parameter \nu is introduced to characterize the nonuniformity of the field. For \nu>> 1, the obtained expression is reduced to the uniform-field approximation while it approaches the Bethe-Heitler formula for \nu <<1. The pair production is predicted for relatively weak external fields where the uniform-field approximation gives no effect. The theory agrees well with the experimental results of crystal-assisted pair production.

2016

We study the massless limit in synchrotron radiation and one-photon pair creation in magnetic field. In this limit Schwinger critical field $H_0=m^2c^3/(e\hbar)$ tends to zero, so two characteristic quantum parameters $\eta=H/H_0,\;\chi=\eta E/mc^2$ are infinite, and the standard approximations used in analytical calculations fail. Applying Schwinger&#39;s proper time methods we derive simple expressions for synchrotron radiation spectra emitted by massless charges of spins $s=0,\,1/2$ and the pair creation probability distribution in the quasiclassical (high Landau levels) regime exhibiting simple scaling properties and possessing universal spectral shapes.

2013

In a recent paper ([1]) the actual mechanics of local circulation of the oscillating energy inside a photon was laid out in light of deBroglie's hypothesis on the internal dynamic structure of permanently localized photons. This paper will lay out the directly related mechanics of conversion of a photon of energy 1.022 MeV or more into a pair of charged elementary particles, that is, one electron and one positron. The experimental proof that any photon of energy 1.022+ MeV (which has no mass and is electrically neutral) can be destabilized into converting to an electron-positron pair (massive and charged in opposition) when grazing a heavy particle such as an atom nucleus was discovered and experimentally confirmed in the 1930's and extensively observed ever since in high energy accelerators. An alternate process was also experimentally discovered in 1997. It involved converging two tightly collimated photons beams towards a single point in space, one of which being made up of photons exceeding the 1.022 MeV threshold. Electron/positron pairs were thus created without any atomic nucleus being close by! These two observed processes of photon conversion into pairs set the 1.022 MeV energy level as the threshold starting from which massless photons become highly sensitive to be destabilized into converting to pairs of massive particles.

Astrophysics and Space Science, 1978

In the presence of a strong magnetic field (such as those believed to be characteristic of neutron stars: B > 10 TM Gauss) positronium may annihilate through the emission of a single photon, the magnetic field providing the photon momentum. We report on calculations of the one-photon and two-photon annihilation rates for .the ground state of positronium, for magnetic fields in the range (1-44) x 10 TM Gauss, and give, in the two-photon case, the minimum energy half-width of the emission line due to the momentum contributions from the magnetic field. We find that unless neutron stars have magnetic fields in excess of 1013 Gauss, it is unlikely that the one-photon process will be observable.

Annals of Physics, 2013

Using semiclassical WKB-methods, we calculate the rate of electron-positron pairproduction from the vacuum in the presence of two external fields, a strong (space-or time-dependent) classical field and a monochromatic electromagnetic wave. We discuss the possible medium effects on the rate in the presence of thermal electrons, bosons, and neutral plasma of electrons and protons at a given temperature and chemical potential. Using our rate formula, we calculate the rate enhancement due to a laser beam, and discuss the possibility that a significant enhancement may appear in a plasma of electrons and protons with self-focusing properties.

Semina: Ciências Exatas e Tecnológicas

A criação de pares elétron-pósitron é um dos vários mecanismos de interação do fóton com a matéria e o par pode ser produzido quando o fóton interage com um núcleo atômico ou com um elétron. As energias limiares do fóton kth para estas reações são respectivamente ~ 2m0c2 ou 4m0c2 (m0 é a massa de repouso do elétron e c é a velocidade da luz no vácuo). Um aspecto interessante da criação de par elétron-pósitron ocorre quando um fóton de energia muito baixa (k &lt;&lt; m0c2) colide com um elétron ultra-relativístico (E &gt;&gt; m0c2). Nesta nota a cinemática da colisão entre um elétron e um fóton é revista e o aspecto particular e interessante da produção de tripleto quando elétrons ultra-relativísticos colidem com fótons de baixíssimas energias é brevemente descrito.

Physics Letters B, 1998

A process of the photon splitting γ → γγ in a strong magnetic field is investigated below and above the pair creation threshold. Contrary to the statement by Baier e.a., the "allowed" channel γ → γ ⊥ γ ⊥ is shown not to be comprehensive for the splitting in the strong field because the "forbidden" channel γ → γ γ ⊥ is also essential. The partial amplitudes and the splitting probabilities are calculated with taking account of the photon dispersion and large radiative corrections near the resonance.