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 Relative Articles On Parity-Violating Three-Nucleon Interactions and the Predictive Power of Few-Nucleon EFT at Very Low Energies Convergence of regularized nonlocal interaction energies Nuclear Scattering at Very High Energies Target Fragmentation of the Nucleon at High Energies Kaluza-Klein Picture and Nucleon-Nucleon Dynamics at Low Energies Three nucleons at very low energies Few-nucleon scattering experiments at intermediate energies Compton Scattering and the Spin Structure of the Nucleon at Low Energies Spin structure of the nucleon at low energies Antineutron and antiproton nuclear interactions at very low energies More...
Physics  2004

# Improved Convergence in the Three-Nucleon System at Very Low Energies

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Abstract:

Neutron-deuteron scattering in the context of pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of the deuteron wave-function, a procedure known as Z-parameterisation and extended here to the three-nucleon system. The improvement is particularly striking in the doublet-S wave (triton) channel, where better agreement to potential-model calculations and better convergence from order to order in the power counting is achieved for momenta as high as \sim 120 MeV. Investigating the cut-off dependence of the phase-shifts, one confirms numerically the analytical finding that the first momentum-dependent three-body force enters at N2LO. The other partial waves converge also substantially faster. Effective-range parameters of the nd-system are determined, e.g. for the quartet-S-wave scattering length a_q=[6.35\pm0.02] fm, which compares favourably both in magnitude and uncertainty with recent high-precision potential-model determinations. Differential cross-sections up to E_{lab}\approx 15 MeV agree with data.

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