hree-boson stability for boosted interactions towards the zero-range limi

Author(s)

Mohseni, K. ^[1] ; Chaves, A. J. ^[1] ; da Costa, D. R. ^[2] ; Frederico, T. ^[1] ; Hadizadeh, M. R. ^{[3, 4]}

Affiliation

^[1] Inst Tecnol Aeronaut, DCTA, BR-12228900 Sao Jose Dos Campos - Brazil

^[2] Univ Fed Ceara, Dept Fis, Caixa Postal 6030, Campus Pici, BR-60455900 Fortaleza, Ceara - Brazil

^[3] Ohio Univ, Dept Phys & Astron, Athens, OH 45701 - USA

^[4] Cent State Univ, Coll Engn Sci Technol & Agr, Wilberforce, OH 45384 - USA

• Document type: Journal article
• Source: Physics Letters B; v. 823, DEC 10 2021.
• Web of Science Citations: 0

Abstract

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 Glocke 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. (C) 2021 The Authors. Published by Elsevier B.V. (AU)

• FAPESP's process: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems
• Grantee: Brett Vern Carlson
• Support Opportunities: Research Projects - Thematic Grants