Published 2012 | Version v1
Journal article

Method of systems of the equations of P-adic coverages for fractal analysis of events

Description

Self-similarity in multiple processes at high energies is discussed. A parton shower is assumed to transform into a hadron shower with a fractal structure. It is noted that the BC (Box Counting) and PaC (P-adic Coverage) methods allow one to determine the dimension of fractals with permissible 1/k parts. A new method (method of Systems of the equations of P-adic Coverages) that is applicable for analysis of N-ary cascades with permissible m/k parts is offered. This method (SePaC method) allows us to determine the fractal dimension of the shower with the given accuracy, the number of fractal levels and of partons at branching in the process of development of the shower, the cascade type (random or regular) and its structure

Availability note (English)

Available online: http://www1.jinr.ru/Pepan_letters/panl_2012_6-7/12_ded.pdf

Additional details

Additional titles

Original title (Russian)
Метод систем уравнений П-адических покрытий для фрактального анализа событий

Publishing Information

Journal Title
Pis'ma v Zhurnal 'Fizika Ehlementarnykh Chastits i Atomnogo Yadra'
Journal Volume
9
Journal Issue
6-7/176-177
Journal Page Range
p. 892-915
ISSN
1814-5957

INIS

Country of Publication
Joint Institute for Nuclear Research (JINR)
Country of Input or Organization
Joint Institute for Nuclear Research (JINR)
INIS RN
44053987
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ALGORITHMS; CASCADE SHOWERS; EQUATIONS; FRACTALS; GLUONS; HADRON REACTIONS; MULTIPLE PRODUCTION; QUARKS
Descriptors DEC
BOSONS; FERMIONS; MATHEMATICAL LOGIC; NUCLEAR REACTIONS; PARTICLE PRODUCTION; SHOWERS

Optional Information

Notes
21 refs., 7 figs., 3 tabs.