Calculations of the Triton Binding Energy with a Lorentz Boosted Nucleon-Nucleon Potential

Kamada, H.; Glöckle, W.; Witała, H.; Golak, J.; Skibiński, R.; Polyzou, W. N.; Elster, Ch.

doi:10.1051/epjconf/20100305025

Cited by 4 publications

(2 citation statements)

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“…In addition to all the previously described developments on 3NFs, relativistic corrections to the generally used nonrelativistic framework might also contribute to the discrepancy between the theory and data. In the 3N systems, relativistic effects have been thoroughly studied for the bound state [156,157], elastic [158] and break-up [159] nd scattering. The effects on the triton binding energy are somewhat dependent on the scheme with which the non-relativistic NN interaction was matched to the relativistic one.…”

Section: Three-nucleon Force Modelsmentioning

confidence: 99%

Signatures of three-nucleon interactions in few-nucleon systems

et al. 2011

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Recent experimental results in three-body systems have unambiguously shown that calculations based only on nucleon-nucleon forces fail to accurately describe many experimental observables and one needs to include effects which are beyond the realm of the two-body potentials. This conclusion owes its significance to the fact that experiments and calculations can both be performed with high accuracy. In this review, both theoretical and experimental achievements of the past decade will be underlined. Selected results will be presented. The discussion on the effects of the three-nucleon forces is, however, limited to the hadronic sector. It will be shown that despite the major successes in describing these seemingly simple systems, there are still clear discrepancies between data and the state-of-the-art calculations.

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Section: Three-nucleon Force Modelsmentioning

confidence: 99%

Signatures of three-nucleon interactions in few-nucleon systems

et al. 2011

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“…The study of relativistic effects in quantum mechanical few-body systems has been the subject of many studies of the bound [1][2][3][4][5][6][7][8][9][10] and scattering [11][12][13][14][15][16] states. All these studies are mainly performed using a partial wave decomposition, that leads to coupled equations for the bound or scattering amplitudes which are expanded in the angular momentum basis.…”

Section: Introductionmentioning

confidence: 99%

A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme

Hadizadeh

Radin

Mohseni

2020

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In this paper, we study the relativistic effects in a three-body bound state. For this purpose, the relativistic form of the Faddeev equations is solved in momentum space as a function of the Jacobi momentum vectors without using a partial wave decomposition. The inputs for the three-dimensional Faddeev integral equation are the off-shell boost two-body t−matrices, which are calculated directly from the boost two-body interactions by solving the Lippmann-Schwinger equation. The matrix elements of the boost interactions are obtained from the nonrelativistic interactions by solving a nonlinear integral equation using an iterative scheme. The relativistic effects on three-body binding energy are calculated for the Malfliet-Tjon potential. Our calculations show that the relativistic effects lead to a roughly 2% reduction in the three-body binding energy. The contribution of different Faddeev components in the normalization of the relativistic three-body wave function is studied in detail. The accuracy of our numerical solutions is tested by calculation of the expectation value of the three-body mass operator, which shows an excellent agreement with the relativistic energy eigenvalue.

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