Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ Reaction
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s00601-015-0977-9 http://hdl.handle.net/11449/172187 |
Resumo: | A bound state of a proton, p, and its counterpart antiproton, (Formula presented.), is a protonium atom (Formula presented.). The following three-charge-particle reaction: (Formula presented.)- is considered in this work, where (Formula presented.)- is a muon. At low-energies muonic reaction (Formula presented.) can be formed in the short range state with α = 1s or in the first excited state: α = 2s/2p, where (Formula presented.) and p are placed close enough to each other and the effect of the (Formula presented.) nuclear interaction becomes significantly stronger. The cross sections and rates of the Pn formation reaction are computed in the framework of a few-body approach based on the two-coupled Faddeev-Hahn-type (FH-type) equations. Unlike the original three-body Faddeev method the FH-type equation approach is formulated in terms of only two but relevant components: (Formula presented.) and (Formula presented.), of the system’s three-body wave function (Formula presented.), where (Formula presented.). In order to solve the FH-type equations (Formula presented.) is expanded in terms of the input channel target eigenfunctions, i.e. in this work in terms of the (Formula presented.)) eigenfunctions. At the same time (Formula presented.) is expanded in terms of the output channel two-body wave function, that is in terms of the protonium (Formula presented.) eigenfunctions. A total angular momentum projection procedure is performed, which leads to an infinite set of one-dimensional coupled integral–differential equations for unknown expansion coefficients. |
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Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ ReactionA bound state of a proton, p, and its counterpart antiproton, (Formula presented.), is a protonium atom (Formula presented.). The following three-charge-particle reaction: (Formula presented.)- is considered in this work, where (Formula presented.)- is a muon. At low-energies muonic reaction (Formula presented.) can be formed in the short range state with α = 1s or in the first excited state: α = 2s/2p, where (Formula presented.) and p are placed close enough to each other and the effect of the (Formula presented.) nuclear interaction becomes significantly stronger. The cross sections and rates of the Pn formation reaction are computed in the framework of a few-body approach based on the two-coupled Faddeev-Hahn-type (FH-type) equations. Unlike the original three-body Faddeev method the FH-type equation approach is formulated in terms of only two but relevant components: (Formula presented.) and (Formula presented.), of the system’s three-body wave function (Formula presented.), where (Formula presented.). In order to solve the FH-type equations (Formula presented.) is expanded in terms of the input channel target eigenfunctions, i.e. in this work in terms of the (Formula presented.)) eigenfunctions. At the same time (Formula presented.) is expanded in terms of the output channel two-body wave function, that is in terms of the protonium (Formula presented.) eigenfunctions. A total angular momentum projection procedure is performed, which leads to an infinite set of one-dimensional coupled integral–differential equations for unknown expansion coefficients.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Department of Information Systems, BCRL, St. Cloud State UniversityIntegrated Science and Engineering Laboratory Facility (ISELF), St. Cloud State UniversityInstituto de Física Teórica, UNESP – Universidade Estadual PaulistaInstituto de Física Teórica, UNESP – Universidade Estadual PaulistaIntegrated Science and Engineering Laboratory Facility (ISELF), St. Cloud State UniversityUniversidade Estadual Paulista (Unesp)Sultanov, Renat A. [UNESP]Guster, D.Adhikari, S. K. [UNESP]2018-12-11T16:59:06Z2018-12-11T16:59:06Z2015-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article793-800application/pdfhttp://dx.doi.org/10.1007/s00601-015-0977-9Few-Body Systems, v. 56, n. 11-12, p. 793-800, 2015.0177-7963http://hdl.handle.net/11449/17218710.1007/s00601-015-0977-92-s2.0-849465012282-s2.0-84946501228.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFew-Body Systems0,460info:eu-repo/semantics/openAccess2024-01-10T06:30:11Zoai:repositorio.unesp.br:11449/172187Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-10T06:30:11Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ Reaction |
title |
Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ Reaction |
spellingShingle |
Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ Reaction Sultanov, Renat A. [UNESP] |
title_short |
Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ Reaction |
title_full |
Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ Reaction |
title_fullStr |
Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ Reaction |
title_full_unstemmed |
Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ Reaction |
title_sort |
Three-Body Protonium Formation in a Collision Between a Slow Antiproton (p) and Muonic Hydrogen: Hμ—Low Energy p + (pμ)1s→(pp)1s+ μ Reaction |
author |
Sultanov, Renat A. [UNESP] |
author_facet |
Sultanov, Renat A. [UNESP] Guster, D. Adhikari, S. K. [UNESP] |
author_role |
author |
author2 |
Guster, D. Adhikari, S. K. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Integrated Science and Engineering Laboratory Facility (ISELF), St. Cloud State University Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Sultanov, Renat A. [UNESP] Guster, D. Adhikari, S. K. [UNESP] |
description |
A bound state of a proton, p, and its counterpart antiproton, (Formula presented.), is a protonium atom (Formula presented.). The following three-charge-particle reaction: (Formula presented.)- is considered in this work, where (Formula presented.)- is a muon. At low-energies muonic reaction (Formula presented.) can be formed in the short range state with α = 1s or in the first excited state: α = 2s/2p, where (Formula presented.) and p are placed close enough to each other and the effect of the (Formula presented.) nuclear interaction becomes significantly stronger. The cross sections and rates of the Pn formation reaction are computed in the framework of a few-body approach based on the two-coupled Faddeev-Hahn-type (FH-type) equations. Unlike the original three-body Faddeev method the FH-type equation approach is formulated in terms of only two but relevant components: (Formula presented.) and (Formula presented.), of the system’s three-body wave function (Formula presented.), where (Formula presented.). In order to solve the FH-type equations (Formula presented.) is expanded in terms of the input channel target eigenfunctions, i.e. in this work in terms of the (Formula presented.)) eigenfunctions. At the same time (Formula presented.) is expanded in terms of the output channel two-body wave function, that is in terms of the protonium (Formula presented.) eigenfunctions. A total angular momentum projection procedure is performed, which leads to an infinite set of one-dimensional coupled integral–differential equations for unknown expansion coefficients. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-05-01 2018-12-11T16:59:06Z 2018-12-11T16:59:06Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/s00601-015-0977-9 Few-Body Systems, v. 56, n. 11-12, p. 793-800, 2015. 0177-7963 http://hdl.handle.net/11449/172187 10.1007/s00601-015-0977-9 2-s2.0-84946501228 2-s2.0-84946501228.pdf |
url |
http://dx.doi.org/10.1007/s00601-015-0977-9 http://hdl.handle.net/11449/172187 |
identifier_str_mv |
Few-Body Systems, v. 56, n. 11-12, p. 793-800, 2015. 0177-7963 10.1007/s00601-015-0977-9 2-s2.0-84946501228 2-s2.0-84946501228.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Few-Body Systems 0,460 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
793-800 application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1803047313033134080 |