Calculations of Three-Nucleon Reactions

Witała, H.; Golak, J.; Skibiński, R.; Topolnicki, K.; Kamada, H.; Epelbaum, E.; Glöckle, W.; Krebs, H.; Polyzou, W. N.; Nogga, A.

doi:10.1007/s00601-012-0540-x

Cited by 10 publications

(11 citation statements)

References 24 publications

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“…Therefore, to answer the question whether consistent chiral NN and 3N Fs provide the explanation of the 3NAPP, one needs to go to at least the N 3 LO of the chiral expansion. The first calculations with N 3 LO 3N F components [26,27] were recently performed at low energies [25,28]. They clearly show that the 3N APP cannot be explained using this approach.…”

Section: Results and Conclusionmentioning

confidence: 99%

Neutron-deuteron analyzing power data atEn=22.5MeV

et al. 2014

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We present measurements of n-d analyzing power, A y (θ), at E n = 22.5 MeV. The experiment uses a shielded neutron source which produced polarized neutrons via the 2 H( d, n) 3 He reaction. It also uses a deuterated liquidscintillator center detector and six pairs of liquid-scintillator neutron side detectors. Elastic neutron scattering events are identified by using time-of-flight techniques and by setting a window in the center detector pulse-height spectrum. The beam polarization is monitored by using a high-pressure helium gas cell and an additional pair of liquid-scintillator side detectors. The n-d A y (θ) data were corrected for finite-geometry and multiple-scattering effects using a Monte Carlo simulation of the experiment. The 22.5-MeV data demonstrate that the three-nucleon analyzing power puzzle also exists at this energy. They show a significant discrepancy with predictions of highprecision nucleon-nucleon potentials alone or combined with Tucscon-Melbourne or Urbana IX three-nucleon forces, as well as currently available effective-field theory based potentials of next-to-next-to-next-to-leading order.

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Section: Results and Conclusionmentioning

confidence: 99%

Neutron-deuteron analyzing power data atEn=22.5MeV

et al. 2014

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“…However, a derivation at N 3 LO of the electroweak current would require the calculation of loop corrections, a task successfully performed for the electromagnetic [23], but not yet for the axial operators. Furthermore, the 3NF at N 3 LO has been derived only recently [37,38] and, due to its complexity, only preliminary studies have been performed so far [16,39,40].…”

Section: Scale Dependence Of Chiral Two-and Three-nucleon Potentialsmentioning

confidence: 99%

Nuclear-matter equation of state with consistent two- and three-body perturbative chiral interactions

et al. 2014

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We compute the energy per particle of infinite symmetric nuclear matter from chiral N 3 LO (nextto-next-to-next-to-leading order) two-body potentials plus N 2 LO three-body forces. The low-energy constants of the chiral three-nucleon force that cannot be constrained by two-body observables are fitted to reproduce the triton binding energy and the 3 H-3 He Gamow-Teller transition matrix element. In this way, the saturation properties of nuclear matter are reproduced in a parameter-free approach. The equation of state is computed up to third order in many-body perturbation theory, with special emphasis on the role of the third-order particle-hole diagram. The dependence of these results on the cutoff scale and regulator function is studied. We find that the inclusion of threenucleon forces consistent with the applied two-nucleon interaction leads to a reduced dependence on the choice of the regulator only for lower values of the cutoff.

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“…[38] causing little impact. Very recently, the long-range part of the chiral N 3 LO 3NF has been tested in the triton [41] and in three-nucleon scattering [42] yielding only moderate effects. The long-and shortrange parts of this force have been used in neutron matter calculations (together with the N 3 LO 4NF) producing relatively large contributions from the 3NF [43].…”

Section: Few-nucleon Forces and What Is Missingmentioning

confidence: 99%

Recent Progress in the Theory of Nuclear Forces

et al. 2013

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During the past two decades, it has been demonstrated that chiral effective field theory represents a powerful tool to deal with nuclear forces in a systematic and model-independent way. Two-, three-, and four-nucleon forces have been derived up to next-to-next-to-next-to-leading order (N 3 LO) and (partially) applied in nuclear few-and many-body systems-with, in general, a good deal of success. This may suggest that we are finally done with the nuclear force problem; but that would be too optimistic. There are still some pretty basic open issues that have been swept under rug and, finally, need our full attention, like the proper renormalization of the twonucleon potential. Moreover, the order-by-order convergence of the many-body force contributions is at best obscure at this time.

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Calculations of Three-Nucleon Reactions

Cited by 10 publications

References 24 publications

Neutron-deuteron analyzing power data atEn=22.5MeV

Neutron-deuteron analyzing power data atEn=22.5MeV

Nuclear-matter equation of state with consistent two- and three-body perturbative chiral interactions

Recent Progress in the Theory of Nuclear Forces

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