Muon induced deuteron disintegration in three-dimensions

We present a three-dimensional (3D) description of muon induced deuteron disintegration. This reaction is treated as the decay of the muonic atom with the muon initially on the lowest K shell. Our aim is to calculate the total and differential decay rates. We work in momentum space and use 3D moment...

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Main Authors: Topolnicki Kacper, Golak Jacek, Skibiński Roman, Marcucci Laura Elisa, Witała Henryk, Elmeshneb Alaa Eldeen
Format: Article
Language:English
Published: EDP Sciences 2014-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20148106010
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author Topolnicki Kacper
Golak Jacek
Skibiński Roman
Marcucci Laura Elisa
Witała Henryk
Elmeshneb Alaa Eldeen
author_facet Topolnicki Kacper
Golak Jacek
Skibiński Roman
Marcucci Laura Elisa
Witała Henryk
Elmeshneb Alaa Eldeen
author_sort Topolnicki Kacper
collection DOAJ
description We present a three-dimensional (3D) description of muon induced deuteron disintegration. This reaction is treated as the decay of the muonic atom with the muon initially on the lowest K shell. Our aim is to calculate the total and differential decay rates. We work in momentum space and use 3D momentum eigenstates directly. This approach allowed us to calculate the appropriate nuclear matrix elements, necessary building blocks for the differential decay rate, in a single step. For contrast - in classical calculations many partial-waves have to be taken into account. We achieved a very good agreement between the 3D and partial-wave methods for calculations that involve single-nucleon currents. Our result for the total decay rate is also in agreement with experimental values, though these are not very precise. This success motivates us to also include two-nucleon current contributions that include the meson exchange currents. Additionally, our formalism can also be applied to other, so far poorly described, processes like: μ +3 He→ ν + n + d or μ +3 He → ν + n + n + p.
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spelling doaj.art-2bc7928d0fe040ceb33e82eba4994c8c2022-12-21T23:22:39ZengEDP SciencesEPJ Web of Conferences2100-014X2014-01-01810601010.1051/epjconf/20148106010epjconf_meson2014_06010Muon induced deuteron disintegration in three-dimensionsTopolnicki Kacper0Golak Jacek1Skibiński Roman2Marcucci Laura Elisa3Witała Henryk4Elmeshneb Alaa Eldeen5M. Smoluchowski Institute of Physics, Jagiellonian UniversityM. Smoluchowski Institute of Physics, Jagiellonian UniversityM. Smoluchowski Institute of Physics, Jagiellonian UniversityDepartment of Physics, University of PisaM. Smoluchowski Institute of Physics, Jagiellonian UniversityM. Smoluchowski Institute of Physics, Jagiellonian UniversityWe present a three-dimensional (3D) description of muon induced deuteron disintegration. This reaction is treated as the decay of the muonic atom with the muon initially on the lowest K shell. Our aim is to calculate the total and differential decay rates. We work in momentum space and use 3D momentum eigenstates directly. This approach allowed us to calculate the appropriate nuclear matrix elements, necessary building blocks for the differential decay rate, in a single step. For contrast - in classical calculations many partial-waves have to be taken into account. We achieved a very good agreement between the 3D and partial-wave methods for calculations that involve single-nucleon currents. Our result for the total decay rate is also in agreement with experimental values, though these are not very precise. This success motivates us to also include two-nucleon current contributions that include the meson exchange currents. Additionally, our formalism can also be applied to other, so far poorly described, processes like: μ +3 He→ ν + n + d or μ +3 He → ν + n + n + p.http://dx.doi.org/10.1051/epjconf/20148106010
spellingShingle Topolnicki Kacper
Golak Jacek
Skibiński Roman
Marcucci Laura Elisa
Witała Henryk
Elmeshneb Alaa Eldeen
Muon induced deuteron disintegration in three-dimensions
EPJ Web of Conferences
title Muon induced deuteron disintegration in three-dimensions
title_full Muon induced deuteron disintegration in three-dimensions
title_fullStr Muon induced deuteron disintegration in three-dimensions
title_full_unstemmed Muon induced deuteron disintegration in three-dimensions
title_short Muon induced deuteron disintegration in three-dimensions
title_sort muon induced deuteron disintegration in three dimensions
url http://dx.doi.org/10.1051/epjconf/20148106010
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