Relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach

Hadizadeh, M. R.; Radin, M.; Nazari, Farid

doi:10.1038/s41598-021-96924-1

Cited by 4 publications

(2 citation statements)

References 49 publications

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“…In a related research, this t − matrix-free approach is successfully employed for relativistic three-body (3B) bound states [46]. This led to a version of the relativistic Faddeev equation that directly employs 2B boosted interactions [47,48], eliminating the need for 2B boosted t − matrices [19,20,24].…”

Section: Introductionmentioning

confidence: 99%

Four-body bound states in momentum space: the Yakubovsky approach without two-body t − matrices

Mohammadzadeh,

Radin,

Mohseni

et al. 2023

Front. Phys.

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This study presents a solution to the Yakubovsky equations for four-body bound states in momentum space, bypassing the common use of two-body t − matrices. Typically, such solutions are dependent on the fully-off-shell two-body t − matrices, which are obtained from the Lippmann-Schwinger integral equation for two-body subsystem energies controlled by the second and third Jacobi momenta. Instead, we use a version of the Yakubovsky equations that does not require t − matrices, facilitating the direct use of two-body interactions. This approach streamlines the programming and reduces computational time. Numerically, we found that this direct approach to the Yakubovsky equations, using 2B interactions, produces four-body binding energy results consistent with those obtained from the conventional t − matrix dependent Yakubovsky equations, for both separable (Yamaguchi and Gaussian) and non-separable (Malfliet-Tjon) interactions.

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Section: Introductionmentioning

confidence: 99%

Four-body bound states in momentum space: the Yakubovsky approach without two-body t − matrices

Mohammadzadeh,

Radin,

Mohseni

et al. 2023

Front. Phys.

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“…The inputs for the solution of relativistic Lippmann-Schwinger equation ( 2) are the matrix elements of boosted potentials V k (p, p ) which can be obtained directly from p (fm nonrelativistic interaction V nr (p, p ) by solving the integral Eq. (3) using an iterative scheme proposed by Kamada and Glöckle [18] and successfully implemented in a threedimensional scheme [26,27]. The iteration starts with the initial guess…”

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confidence: 99%

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

Mohseni,

Chaves,

da Costa

et al. 2021

Preprint

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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.

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