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

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 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.

References in corpus (22)

• Excitons in atomically thin transition metal dichalcogenides
• Theory of Neutral and Charged Excitons in Monolayer Transition Metal Dichalcogenides
• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction
• Finite-volume spectrum of ${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ systems
• Two- and three-pion finite-volume spectra at maximal isospin from lattice QCD
• $I=3$ three-pion scattering amplitude from lattice QCD
• Excitons in hexagonal boron nitride single-layer: a new platform for polaritonics in the ultraviolet
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• Excitonic effects in the optical properties of 2D materials: An equation of motion approach
• Stark shift of excitons and trions in two-dimensional materials
• Three Body Bound State Calculations without Angular Momentum Decomposition
• Realistic two-nucleon potentials for the relativistic two-nucleon Schroedinger equation
• Binding and structure of tetramers in the scaling limit
• Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
• Three-boson relativistic bound states with zero-range interaction
• The Relativistic Three-Body Bound State in a 3D Formulation
• Three-body bound states with zero-range interaction in the Bethe-Salpeter approach
• Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• Critical stability of three-body relativistic bound states with zero-range interaction