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Modern nuclear force predictions for the neutron-deuteron scattering lengths

2003/05/12 by H. Witala, H. Witała, A. Nogga +6 · 39 citations
Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Binding energy #Deuterium #Energy (signal processing) #Geometry #Line (geometry) #Neutron #Nuclear Physics and Applications #Nuclear force #Nuclear physics #Nuclear physics research studies #Nucleon #Physics #Quantum mechanics #Scattering #nucl-th

paper · pdf · doi:10.1103/physrevc.68.034002

published in Physical Review C 68(3) (American Institute of Physics) · 16 pages, 1 table, 4 ps figures

arxiv created 2003/05/12 · openalex publication_date 2003/09/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The neutron-deuteron (nd) doublet (2and) and quartet (4and) scattering lengths were calculated based on the nucleon-nucleon (NN) interactions CD Bonn 2000, AV18, Nijm I, II, and 93 alone and in selected combinations with the Tucson-Melbourne (TM), a modified version thereof, TM99, and the Urbana IX three-nucleon (3N) forces. For each NN and 3N force combination the 3H binding energy was also calculated. In case of TM99 and Urbana IX the 3NF parameters were adjusted to the 3H binding energy. In no case (using np\ensuremath-nn forces) the experimental value of 2and was reached. We also studied the effect of the electromagnetic interactions in the form introduced in AV18. Switching them off for the various nuclear force models leads to shifts of up to +0.04fm for 2and, which is significant for present day standards. The electromagnetic effects also have a noticeable effect on 4and, which is extremely stable under the exchange of the nuclear forces otherwise. Only if the electromagnetic interactions are included, the current nuclear forces describe the experimental value. As a consequence of the failure to reproduce 2and also the newly measured coherent nd scattering length (bnd) cannot be reproduced. The current nuclear force models predict 3H binding energies and the 2and values around an averaged straight line (Phillips line), but this correlation is broken visibly. This allows us to use 2and and the 3H binding energy as independent low-energy observables.

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