Electromagnetic cascade showers in lead with the Landau-Pomeranchuk-Migdal effect included: average behavior of the one-dimensional LPM shower in lead

The numerical method developed by Fujimaki and Misaki can obtain solutions for an electromagnetic cascade shower, in which no restrictions on the forms of the differential cross sections for both bremsstrahlung and pair-production processes are made. By utilizing this method, the LPM showers (electr...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1989-11, Vol.40 (9), p.3086-3096
Main Author: MISAKI, A
Format: Article
Language:English
Subjects:
645202 - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties
Atomic and molecular physics
BREMSSTRAHLUNG
CASCADE SHOWERS
Classical and quantum physics: mechanics and fields
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ELECTROMAGNETIC RADIATION
Electronic structure of atoms, molecules and their ions: theory
ELEMENTS
Exact sciences and technology
GAMMA CASCADES
General theory of scattering
INTERACTIONS
LEAD
METALS
MULTIPLE SCATTERING
NUCLEAR CASCADES
Other topics in the theory of the electronic structure of atoms, molecules and their ions
PAIR PRODUCTION
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
RADIATIONS
SCATTERING
SEMICLASSICAL APPROXIMATION
SHOWERS
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Summary:The numerical method developed by Fujimaki and Misaki can obtain solutions for an electromagnetic cascade shower, in which no restrictions on the forms of the differential cross sections for both bremsstrahlung and pair-production processes are made. By utilizing this method, the LPM showers (electromagnetic cascade showers in the presence of the Landau Pomeranchuk-Migdal effect) are calculated for primary energies in the range 10{sup 14}--10{sup 17} eV in lead. Physical properties of the LPM showers, such as electron transition curves, track lengths, and fractional dissipated energies, are obtained in the cases with and without the inclusion of ionization losses. In order to compare LPM showers with ordinary electromagnetic cascade showers in the absence of the LPM effect (hereafter defined as Bethe-Heitler (BH) showers) and to clarify the characteristics of the LPM showers, all physical quantities which have been obtained in the LPM showers have also been obtained in the BH showers. We discuss the characteristics of the LPM showers, especially with reference to the BH showers. The results obtained by other authors are compared with the results obtained by the author.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.40.3086