Achievements and Challenges in 3N- and 4N-Systems

Glöckle, W.; Witała, H.; Kamada, H.; Hüber, D.; Golak, J.

doi:10.1007/978-3-7091-9453-9_57

Cited by 8 publications

(3 citation statements)

References 36 publications

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“…The first realistic nonrelativistic calculations of the triton binding energy were completed in the 1970's [1]. Later it was shown that different methods gave the same results, and that the binding energy could be calculated to an accuracy of a few keV by considering all nucleonnucleon (N N ) partial waves up to j = 4 [2]. Today, if three-body forces (3BFs) are not considered, a small discrepancy of about 0.5-1.0 MeV remains between the experimentally observed value of −8.48 MeV and values obtained from realistic nonrelativistic N N potentials.…”

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confidence: 99%

Relativistic Calculation of the Triton Binding Energy and Its Implications

1997

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First results for the triton binding energy obtained from the relativistic spectator or Gross equation are reported. The Dirac structure of the nucleons is taken into account. Numerical results are presented for a family of realistic OBE models with off-shell scalar couplings. It is shown that these off-shell couplings improve both the fits to the two-body data and the predictions for the binding energy.

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confidence: 99%

Relativistic Calculation of the Triton Binding Energy and Its Implications

1997

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“…The first realistic nonrelativistic calculations of the triton binding energy were completed in the 1970's [6]. Later it was shown that different methods arrived at the same results, and that the binding energy could be calculated to a numerical accuracy of a few keV by considering all nucleon-nucleon (NN) partial waves up to j = 4 [7]. Today, if three-body forces (3BFs) are not considered, a discrepancy of about 0.5-1.0 MeV remains between the experimentally observed value of −8.48 MeV and values obtained from realistic nonrelativistic NN potentials.…”

Section: A Brief History Of the Three-body Bound State Problemmentioning

confidence: 99%

Covariant equations for the three-body bound state

1997

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The covariant spectator (or Gross) equations for the bound state of three identical spin 1/2 particles, in which two of the three interacting particles are always on shell, are developed and reduced to a form suitable for numerical solution. The equations are first written in operator form and compared to the Bethe-Salpeter equation, then expanded into plane wave momentum states, and finally expanded into partial waves using the three-body helicity formalism first introduced by Wick. In order to solve the equations, the two-body scattering amplitudes must be boosted from the overall three-body rest frame to their individual two-body rest frames, and all effects which arise from these boosts, including the Wigner rotations and rho-spin decomposition of the off-shell particle, are treated exactly. In their final form, the equations reduce to a coupled set of Faddeev-like double integral equations with additional channels arising from the negative rho-spin states of the off-shell particle.Comment: 57 pages, RevTeX, 6 figures, uses epsf.st

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“…One of the open questions in nuclear physics nowadays is a complete knowledge of the interactions acting among nucleons. Modern nucleon-nucleon (𝑁 𝑁) potentials reproducing the 𝑁 𝑁 observables up to 350 MeV with very high precision do not describe that well various nuclear phenomena, e.g., some few-nucleon scattering observables, nuclear binding energies, and nuclear matter properties [1][2][3]. Natural candidates to improve these situations are three-nucleon forces (3𝑁Fs), that appear when more than two nucleon 𝐴 ≥ 3 interact.…”

Section: Introductionmentioning

confidence: 99%

Review of the experimental activity at RIKEN to explore the three-nucleon interactions

Sekiguchi

2024

Proceedings of the 10th International Workshop on Chiral Dynamics — PoS(CD2021)

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Three-nucleon scattering offers a good opportunities to study dynamical aspects of three-nucleon forces that are momentum, spin and iso-spin dependent. At RIKEN the experimental programs of the deuteron-proton scattering at 70-300 MeV/nucleon are on going with the aim of exploring three-nucleon forces. In this contribution, representative experimental results of deuteron-proton elastic scattering are presented. The data are compared with state-of-the art theoretical predictions based on realistic bare nuclear potentials.

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Achievements and Challenges in 3N- and 4N-Systems

Cited by 8 publications

References 36 publications

Relativistic Calculation of the Triton Binding Energy and Its Implications

Relativistic Calculation of the Triton Binding Energy and Its Implications

Covariant equations for the three-body bound state

Review of the experimental activity at RIKEN to explore the three-nucleon interactions

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