Study of the dynamics of cascade processes of muonic atoms by multi group method

Studies on exotic atoms are important in different ways. They are important for strong interaction with nucleus and the theory of QCD in low energies. They are also important in muon catalyzed fusion (µCF). Their properties can be revealed by studies on cascade of muonic atoms. In this paper, unlike...

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Main Authors: S. Z. Kalantari, M. H. Pirahmadian
Format: Article
Language:English
Published: Isfahan University of Technology 2006-06-01
Series:Iranian Journal of Physics Research
Subjects:
Online Access:http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-44&slc_lang=en&sid=1
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author S. Z. Kalantari
M. H. Pirahmadian
author_facet S. Z. Kalantari
M. H. Pirahmadian
author_sort S. Z. Kalantari
collection DOAJ
description Studies on exotic atoms are important in different ways. They are important for strong interaction with nucleus and the theory of QCD in low energies. They are also important in muon catalyzed fusion (µCF). Their properties can be revealed by studies on cascade of muonic atoms. In this paper, unlike the others, we do not consider the kinetic energy of muonic atoms, constant (the kinetic energy of muonic atoms can vary due to cascade processes). We have used multi group method. The energy dependence of the rates of collisional cascade processes can take into account by this method. In addition, the energy spectra of muonic atoms in the ground state are calculated. For this purpose we divided the energy spectrum to 10 groups, and then use the rate of external Auger effect, Coulomb de-excitation, muon transfer and elastic scattering to solve the dynamics of cascade processes in each group. These equations are coupled linear differential equations. To solve them we use the Runge-Kutta method in the fourth order. One of the conclusions of this paper is that, this energy spectrum is not Maxwellian distribution. Finally our results are compared with the results of the Monte-Carlo simulation.
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spelling doaj.art-fc79aae29bc84d9d87ea5c916a27ff132022-12-21T21:04:52ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572006-06-016295109Study of the dynamics of cascade processes of muonic atoms by multi group methodS. Z. KalantariM. H. PirahmadianStudies on exotic atoms are important in different ways. They are important for strong interaction with nucleus and the theory of QCD in low energies. They are also important in muon catalyzed fusion (µCF). Their properties can be revealed by studies on cascade of muonic atoms. In this paper, unlike the others, we do not consider the kinetic energy of muonic atoms, constant (the kinetic energy of muonic atoms can vary due to cascade processes). We have used multi group method. The energy dependence of the rates of collisional cascade processes can take into account by this method. In addition, the energy spectra of muonic atoms in the ground state are calculated. For this purpose we divided the energy spectrum to 10 groups, and then use the rate of external Auger effect, Coulomb de-excitation, muon transfer and elastic scattering to solve the dynamics of cascade processes in each group. These equations are coupled linear differential equations. To solve them we use the Runge-Kutta method in the fourth order. One of the conclusions of this paper is that, this energy spectrum is not Maxwellian distribution. Finally our results are compared with the results of the Monte-Carlo simulation.http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-44&slc_lang=en&sid=1exotic atomsmuonic atomsmuon catalyzed fusioncascade processes
spellingShingle S. Z. Kalantari
M. H. Pirahmadian
Study of the dynamics of cascade processes of muonic atoms by multi group method
Iranian Journal of Physics Research
exotic atoms
muonic atoms
muon catalyzed fusion
cascade processes
title Study of the dynamics of cascade processes of muonic atoms by multi group method
title_full Study of the dynamics of cascade processes of muonic atoms by multi group method
title_fullStr Study of the dynamics of cascade processes of muonic atoms by multi group method
title_full_unstemmed Study of the dynamics of cascade processes of muonic atoms by multi group method
title_short Study of the dynamics of cascade processes of muonic atoms by multi group method
title_sort study of the dynamics of cascade processes of muonic atoms by multi group method
topic exotic atoms
muonic atoms
muon catalyzed fusion
cascade processes
url http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-44&slc_lang=en&sid=1
work_keys_str_mv AT szkalantari studyofthedynamicsofcascadeprocessesofmuonicatomsbymultigroupmethod
AT mhpirahmadian studyofthedynamicsofcascadeprocessesofmuonicatomsbymultigroupmethod