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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Format: | Article |
Language: | English |
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Isfahan University of Technology
2006-06-01
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Series: | Iranian Journal of Physics Research |
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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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id | doaj.art-fc79aae29bc84d9d87ea5c916a27ff13 |
institution | Directory Open Access Journal |
issn | 1682-6957 |
language | English |
last_indexed | 2024-12-18T14:21:10Z |
publishDate | 2006-06-01 |
publisher | Isfahan University of Technology |
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series | Iranian Journal of Physics Research |
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 |