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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.

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

  • Mohammadreza Hadizadeh

    Central State University & Ohio University

Authors

  • Mohammadreza Hadizadeh

    Central State University & Ohio University

  • Kamyar Mohseni

    Instituto Tecnológico de Aeronáutica

  • Andre J Chaves

    Instituto Tecnológico de Aeronáutica

  • Diego Rabelo da Costa

    Universidade Federal do Ceará

  • Tobias Frederico

    Instituto Tecnológico de Aeronáutica