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

被引：6

作者：

Mohseni, K. ^{[1
]}

Chaves, A. J. ^{[1
]}

da Costa, D. R. ^{[2
]}

Frederico, T. ^{[1
]}

Hadizadeh, M. R. ^{[3
,4
]}

机构：

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

[4] Ohio Univ, Dept Phys & Astron, Athens, OH 45701 USA

来源：

PHYSICS LETTERS B | 2021年 / 823卷

基金：

美国国家科学基金会; 巴西圣保罗研究基金会;

关键词：

Faddeev equations; Relativistic interaction; Zero-range limit; NUCLEON-NUCLEON POTENTIALS; BETHE-SALPETER; BOUND-STATES; 3-BODY; FORCES;

D O I：

10.1016/j.physletb.2021.136773

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：6

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