Three-boson stability for boosted interactions towards the zero-range limit

We study the three-boson bound-state mass and wave functions for ground and excited states within the three-body relativistic framework with Kamada and Glöcke boosted potentials in the limit of a zero-range interaction. We adopt a nonrelativistic short-range separable potential, with Yamaguchi and G...

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Autores principales: K. Mohseni, A.J. Chaves, D.R. da Costa, T. Frederico, M.R. Hadizadeh
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Lenguaje:EN
Publicado: Elsevier 2021
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spelling oai:doaj.org-article:d51e4ffd69f54bbbac6b0dd8c6e406812021-12-04T04:32:42ZThree-boson stability for boosted interactions towards the zero-range limit0370-269310.1016/j.physletb.2021.136773https://doaj.org/article/d51e4ffd69f54bbbac6b0dd8c6e406812021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321007139https://doaj.org/toc/0370-2693We study the three-boson bound-state mass and wave functions for ground and excited states within the three-body relativistic framework with Kamada and Glöcke boosted potentials in the limit of a zero-range interaction. We adopt a nonrelativistic short-range separable potential, with Yamaguchi and Gaussian form factors, and drive them towards the zero-range limit by letting the form factors' momentum scales go to large values while keeping the two-body binding fixed. We show that the three-boson relativistic masses and wave functions are model-independent towards the zero-range limit, and the Thomas collapse is avoided, while the nonrelativistic limit kept the Efimov effect. Furthermore, the stability in the zero-range limit is a result of the reduction of boosted potential with the increase of the virtual pair center of mass momentum within the three-boson system. Finally, we compare the present results with Light-Front and Euclidean calculations.K. MohseniA.J. ChavesD.R. da CostaT. FredericoM.R. HadizadehElsevierarticleFaddeev equationsRelativistic interactionZero-range limitPhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136773- (2021)
institution DOAJ
collection DOAJ
language EN
topic Faddeev equations
Relativistic interaction
Zero-range limit
Physics
QC1-999
spellingShingle Faddeev equations
Relativistic interaction
Zero-range limit
Physics
QC1-999
K. Mohseni
A.J. Chaves
D.R. da Costa
T. Frederico
M.R. Hadizadeh
Three-boson stability for boosted interactions towards the zero-range limit
description We study the three-boson bound-state mass and wave functions for ground and excited states within the three-body relativistic framework with Kamada and Glöcke boosted potentials in the limit of a zero-range interaction. We adopt a nonrelativistic short-range separable potential, with Yamaguchi and Gaussian form factors, and drive them towards the zero-range limit by letting the form factors' momentum scales go to large values while keeping the two-body binding fixed. We show that the three-boson relativistic masses and wave functions are model-independent towards the zero-range limit, and the Thomas collapse is avoided, while the nonrelativistic limit kept the Efimov effect. Furthermore, the stability in the zero-range limit is a result of the reduction of boosted potential with the increase of the virtual pair center of mass momentum within the three-boson system. Finally, we compare the present results with Light-Front and Euclidean calculations.
format article
author K. Mohseni
A.J. Chaves
D.R. da Costa
T. Frederico
M.R. Hadizadeh
author_facet K. Mohseni
A.J. Chaves
D.R. da Costa
T. Frederico
M.R. Hadizadeh
author_sort K. Mohseni
title Three-boson stability for boosted interactions towards the zero-range limit
title_short Three-boson stability for boosted interactions towards the zero-range limit
title_full Three-boson stability for boosted interactions towards the zero-range limit
title_fullStr Three-boson stability for boosted interactions towards the zero-range limit
title_full_unstemmed Three-boson stability for boosted interactions towards the zero-range limit
title_sort three-boson stability for boosted interactions towards the zero-range limit
publisher Elsevier
publishDate 2021
url https://doaj.org/article/d51e4ffd69f54bbbac6b0dd8c6e40681
work_keys_str_mv AT kmohseni threebosonstabilityforboostedinteractionstowardsthezerorangelimit
AT ajchaves threebosonstabilityforboostedinteractionstowardsthezerorangelimit
AT drdacosta threebosonstabilityforboostedinteractionstowardsthezerorangelimit
AT tfrederico threebosonstabilityforboostedinteractionstowardsthezerorangelimit
AT mrhadizadeh threebosonstabilityforboostedinteractionstowardsthezerorangelimit
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