Resolution of discrepancy between backward angle cross-section data for neutron-deuteron elastic scattering

Howell, C. R.; Tornow, W.; Setze, H. R.; Braun, R. T.; Trotter, D. E. González; Roper, C. D.; Pedroni, R.S.; Grimes, S. M.; Brient, C. E.; Al-Niemi, N.; Goeckner, F. C.; Mertens, G.

doi:10.1007/bf01355285

Cited by 12 publications

(10 citation statements)

References 15 publications

(22 reference statements)

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“…To this aim, we checked how taking instead of 2 a nd a different nd observable would influence determination of c D and c E . The low-energy elastic nd scattering cross section is an observable which seems to be reasonably well described by standard theory [47]. In fig.…”

Section: Low-energy Elastic Nd Scatteringmentioning

confidence: 58%

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Low-energy neutron-deuteron reactions with N 3 LO chiral forces

et al. 2014

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Abstract. We solve three-nucleon Faddeev equations with nucleon-nucleon and three-nucleon forces derived consistently in the framework of chiral perturbation theory at next-to-next-to-next-to-leading order in the chiral expansion. In this first investigation we include only matrix elements of the three-nucleon force for partial waves with the total two-nucleon (three-nucleon) angular momenta up to 3 (5/2). Lowenergy neutron-deuteron elastic scattering and deuteron breakup reaction are studied. Emphasis is put on A y puzzle in elastic scattering and cross sections in symmetric-space-star and neutron-neutron quasifree-scattering breakup configurations, for which large discrepancies between data and theory have been reported.

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Section: Low-energy Elastic Nd Scatteringmentioning

confidence: 58%

“…5 also the CD Bonn potential results are shown by solid (blue) lines. The backward angle nd elastic scattering cross section data are properly described by standard, high-precision NN potentials [47].…”

Section: Low-energy Elastic Nd Scatteringmentioning

confidence: 99%

Low-energy neutron-deuteron reactions with N 3 LO chiral forces

et al. 2014

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“…Refs. [1][2][3][4][5] for examples of state-of-the-art experimental studies in the three-nucleon sector. Precision of these and other experiments has become so high that the question about the uncertainties of the theoretical predictions is very timely [6].…”

Section: Introductionmentioning

confidence: 99%

Theoretical uncertainties of the elastic nucleon-deuteron scattering observables

et al. 2018

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Theoretical uncertainties of various types are discussed for the nucleon-deuteron elastic scattering observables at the incoming nucleon laboratory energies up to 200 MeV. We are especially interested in the statistical errors arising from uncertainties of parameters of a nucleon-nucleon interaction. The obtained uncertainties of the differential cross section and numerous scattering observables are in general small, grow with the reaction energy and amount up to a few percent at 200 MeV. We compare these uncertainties with the other types of theoretical errors like truncation errors, numerical uncertainties and uncertainties arising from using the various models of nuclear interaction. We find the latter ones to be dominant source of uncertainties of modern predictions for the three-nucleon scattering observables. To perform above mentioned studies we use the One-Pion-Exchange Gaussian potential derived by the Granada group, for which the covariance matrix of its parameters is known, and solve the Faddeev equation for the nucleon-deuteron elastic scattering. Thus beside studying theoretical uncertainties we also show a description of the nucleon-deuteron elastic scattering data by the One-Pion-Exchange Gaussian model and compare it with results obtained with other nucleon-nucleon potentials, including chiral N 4 LO forces from the Bochum-Bonn and Moscow(Idaho)-Salamanca groups. In this way we confirm the usefulness and high quality of the One-Pion-Exchange Gaussian force.

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“…In the figure, calculations with the Argonne V 18 NN potential (AV18) 15 plus a two-pion exchange 3N potential of Brazil model (BR), 16 which serves to reproduce the 3N binding energy, are compared with experimental data. [17][18][19][20][21] A closer observation of the figure shows that discrepancy between the data and the calculations still remains in the DCS at backward angles. For an example to highlight the discrepancy, we plot the DCS data and AV18 + BR calculations divided by calculations with only AV18 NN potential.…”

Section: Resultsmentioning

confidence: 84%