Relativistic three-boson bound states in the zero-range limit
ORAL
Abstract
The relativistic Faddeev integral equations are solved to calculate three-boson mass and wave function for ground and excited states. The inputs of relativistic Faddeev integral equations are the fully-off-shell boosted t-matrices, calculated from the boosted interactions by solving the relativistic Lippmann-Schwinger equation. We employ Kamada and Glöcke boosted potentials obtained directly from nonrelativistic short-range separable potentials by solving a quadratic integral equation using an iterative scheme. By adopting Yamaguchi and Gaussian potentials and driving them towards the zero-range limit, we show that relativistic masses and wave functions are model-independent, and the Thomas collapse is avoided, while the nonrelativistic limit keeps the Efimov effect. We compare our results for relativistic masses with Light-Front and Euclidean calculations.
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Publication: Three-boson stability for boosted interactions towards the zero-range limit, K. Mohseni, A. J. Chaves, D. R. da Costa, T. Frederico, M. R. Hadizadeh, Submitted to Phys. Lett. B (2021).
Presenters
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Mohammadreza Hadizadeh
Central State University & Ohio University
Authors
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Mohammadreza Hadizadeh
Central State University & Ohio University
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Kamyar Mohseni
Instituto Tecnológico de Aeronáutica
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Andre J Chaves
Instituto Tecnológico de Aeronáutica
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Diego Rabelo da Costa
Universidade Federal do Ceará
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Tobias Frederico
Instituto Tecnológico de Aeronáutica