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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2021
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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) |
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Faddeev equations Relativistic interaction Zero-range limit Physics QC1-999 |
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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 |
_version_ |
1718373058868150272 |