Improved effective-range expansions for small and large values of scattering length

Detalhes bibliográficos
Autor(a) principal: Adhikari, S. K. [UNESP]
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1361-6404/aad620
http://hdl.handle.net/11449/176830
Resumo: The textbook effective-range expansion of scattering theory is useful in the analysis of low-energy scattering phenomenology when the scattering length |a| is much larger than the range R of the scattering potential: |a| ≫ R. Nevertheless, the same has been used for systems where the scattering length is much smaller than the range of the potential. We suggest and numerically study an effective-range expansion for |a| ≪ R as well as improved twoparameter effective-range expansions for the cases |a| > R and |a| < R. The improved effective-range expansions for |a| > R and |a| < R reduce to the expansions for |a| R ≫ 1 and |a| R ≪ 1, respectively, in appropriate limits.
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spelling Improved effective-range expansions for small and large values of scattering lengtheffective rangepotential scatteringscattering lengthThe textbook effective-range expansion of scattering theory is useful in the analysis of low-energy scattering phenomenology when the scattering length |a| is much larger than the range R of the scattering potential: |a| ≫ R. Nevertheless, the same has been used for systems where the scattering length is much smaller than the range of the potential. We suggest and numerically study an effective-range expansion for |a| ≪ R as well as improved twoparameter effective-range expansions for the cases |a| > R and |a| < R. The improved effective-range expansions for |a| > R and |a| < R reduce to the expansions for |a| R ≫ 1 and |a| R ≪ 1, respectively, in appropriate limits.Instituto de Física Teórica UNESP - Universidade Estadual PaulistaInstituto de Física Teórica UNESP - Universidade Estadual PaulistaUniversidade Estadual Paulista (Unesp)Adhikari, S. K. [UNESP]2018-12-11T17:22:41Z2018-12-11T17:22:41Z2018-08-14info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1088/1361-6404/aad620European Journal of Physics, v. 39, n. 5, 2018.1361-64040143-0807http://hdl.handle.net/11449/17683010.1088/1361-6404/aad6202-s2.0-850531392912-s2.0-85053139291.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEuropean Journal of Physics0,337info:eu-repo/semantics/openAccess2024-01-18T06:26:05Zoai:repositorio.unesp.br:11449/176830Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-18T06:26:05Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Improved effective-range expansions for small and large values of scattering length
title Improved effective-range expansions for small and large values of scattering length
spellingShingle Improved effective-range expansions for small and large values of scattering length
Adhikari, S. K. [UNESP]
effective range
potential scattering
scattering length
title_short Improved effective-range expansions for small and large values of scattering length
title_full Improved effective-range expansions for small and large values of scattering length
title_fullStr Improved effective-range expansions for small and large values of scattering length
title_full_unstemmed Improved effective-range expansions for small and large values of scattering length
title_sort Improved effective-range expansions for small and large values of scattering length
author Adhikari, S. K. [UNESP]
author_facet Adhikari, S. K. [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Adhikari, S. K. [UNESP]
dc.subject.por.fl_str_mv effective range
potential scattering
scattering length
topic effective range
potential scattering
scattering length
description The textbook effective-range expansion of scattering theory is useful in the analysis of low-energy scattering phenomenology when the scattering length |a| is much larger than the range R of the scattering potential: |a| ≫ R. Nevertheless, the same has been used for systems where the scattering length is much smaller than the range of the potential. We suggest and numerically study an effective-range expansion for |a| ≪ R as well as improved twoparameter effective-range expansions for the cases |a| > R and |a| < R. The improved effective-range expansions for |a| > R and |a| < R reduce to the expansions for |a| R ≫ 1 and |a| R ≪ 1, respectively, in appropriate limits.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T17:22:41Z
2018-12-11T17:22:41Z
2018-08-14
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/10.1088/1361-6404/aad620
European Journal of Physics, v. 39, n. 5, 2018.
1361-6404
0143-0807
http://hdl.handle.net/11449/176830
10.1088/1361-6404/aad620
2-s2.0-85053139291
2-s2.0-85053139291.pdf
url http://dx.doi.org/10.1088/1361-6404/aad620
http://hdl.handle.net/11449/176830
identifier_str_mv European Journal of Physics, v. 39, n. 5, 2018.
1361-6404
0143-0807
10.1088/1361-6404/aad620
2-s2.0-85053139291
2-s2.0-85053139291.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv European Journal of Physics
0,337
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 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
_version_ 1799965654721232896

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