scholarly journals Analytical investigations of high-energy electromagnetic showers in strong magnetic fields

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Takao Nakatsuka

Abstract The diffusion equation of high-energy electromagnetic showers in strong magnetic fields is solved analytically, under the condition that the product of particle energy and field strength considerably exceeds $mc^2H_{\rm c}\simeq 2.3 \times 10^{7}$ TeV G, by applying Mellin and Laplace transforms. Differential and integral energy spectra of shower electrons/positrons and photons are evaluated by applying the saddle point method. Both spectra expressed by asymptotic expansions are also derived based on singularities of the Laplace–Mellin transform of the spectrum. The results are compared with those derived by a Monte Carlo method and numerical integration methods. Energy flows, peak positions, and peak values of transition curves, as well as track lengths of shower particles, are predicted and discussed, together with other characteristic properties of showers in strong magnetic fields, wherein good agreement between the low-energy limit of the power-law index for our differential energy spectra and the low-energy photon index of $\Gamma$ observed in Fermi LAT is pointed out and discussed.

2018 ◽  
Vol 33 (34) ◽  
pp. 1845020
Author(s):  
Yu. A. Sitenko

Quantum spinor matter in extremal conditions (high densities and temperatures, presence of strong magnetic fields) have drawn the attention of researchers in diverse areas of contemporary physics, ranging from cosmology, high-energy and astroparticle physics to condensed matter physics. We study an impact of the confining boundary conditions on the properties of physical systems with hot dense magnetized ultrarelativistic spinor matter and elucidate a significant role of boundaries for such systems.


Open Physics ◽  
2004 ◽  
Vol 2 (2) ◽  
Author(s):  
Tadeusz Wibig

AbstractIn this paper we will discuss the problem of Ultra High Energy Cosmic Rays (UHECR) and show that the idea of a Single Source Model established by Erlykin and Wolfendale (1997) to explain the features seen in cosmic ray energy spectra around the 1015 eV region can be successfully applied also for the much higher energies. The propagation of UHECR (of energies higher than 1019 eV) in extragalactic magnetic fields can no longer be described as a random walk (diffusion) process and the transition to rectilinear propagation gives a possible explanation for the so-called Greisen-Zatzepin-Kuzmin (GZK) cut-off which still remains an open question after almost 40 years. A transient “single source” located at a particular distance and producing UHECR for a finite time is the proposed solution.


1979 ◽  
Vol 44 ◽  
pp. 214-225 ◽  
Author(s):  
J. McKim Malville

Those prominences which are identified as active lie near the middle of a large group of objects found in the low corona bordered on the high energy side by flares and on the low energy side by quiescent prominences. Known by descriptive terms such as eruptive, surge, spray, tornado, and loop, active prominences typically have shorter lifetimes, broader line widths, larger internal motions, and stronger internal magnetic fields than quiescent prominences (Tandberg-Hanssen, 1974). When dealing with specific examples, however, it is often difficult to establish a necessary and sufficient condition for classification of such an object as an active prominence. The ambiguity at the low energy end involves “hybrid” objects which possess features of both quiescent and active prominences. For example, the active region filament may have a lifetime of several days, have large internal motions and relatively strong magnetic fields. The stable hedgerow quiescent prominence may contain small regions with large widths and large velocities. On the average, a quiescent will typically erupt every five to eight days, (Serio, et al., 1978; Bryson and Malville, 1978) and at those times a prominence is transformed from the quiescent to the active state. For these objects something other than morphology, velocity fields, or even magnetic fields is necessary to specify their condition; something less symptomatic and more fundamental is required. That necessary parameter may be, I shall suggest, the total current, J, flowing in the structure.


2014 ◽  
Vol 782 (2) ◽  
pp. 70 ◽  
Author(s):  
Toshitaka Kajino ◽  
Akira Tokuhisa ◽  
Grant J. Mathews ◽  
Takashi Yoshida ◽  
Michael A. Famiano

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