2004/04/30 by Harald W. Grießhammer, Harald W. Griesshammer · 106 citations
Physics and Astronomy · #Context (archaeology) #Convergence (economics) #Deuterium #Momentum (technical analysis) #Neutron #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Range (aeronautics) #Scattering #Scattering length #nucl-th
paper · pdf · doi:10.1016/j.nuclphysa.2004.08.012
published in Nuclear Physics A 744, 192-226 (Elsevier BV) · 38 pages LaTeX2e with 11 figures, using graphicx (33 .eps files included). Petty changes. Version to be published by Nucl. Phys. A
arxiv created 2004/09/07 · openalex publication_date 2004/09/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 ∼ 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 aq=[6.35±0.02] fm, which compares favourably both in magnitude and uncertainty with recent high-precision potential-model determinations. Differential cross-sections up to Elab≈ 15 MeV agree with data.