Abstract
The “three dimensional” (3D) approach to few-nucleon calculations, instead of working with partial-wave states, uses the momentum degrees of freedom of the nucleons directly. As a result, 3D calculations are equivalent to incorporating all partial waves into the calculation. This equivalence is limited by the available computational resources, nonetheless, the new approach provides an opportunity to construct numerical descriptions of physical systems that were previously unavailable with more traditional methods. We present selected observables for the neutron–deuteron inelastic scattering process calculated using the 3D approach and the traditional partial wave approach. This comparison was carried out using the first order terms of the series expansion of the Faddeev equations and is a strong motivator for a development of a complete 3D calculation that utilizes all orders.
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References
W. Glöckle et al., The three-nucleon continuum: achievements, challenges and applications. Phys. Rep. 107, 274–285 (1996)
W. Glöckle, The Quantum Mechanical Few-Body Problem (Springer, Berlin, Heidelberg, 1983)
K. Topolnicki et al., First-order neutron–deuteron scattering in a three-dimensional approach. Eur. Phys. J. A 51, 132 (2015)
J. Golak et al., Different methods for the two-nucleon T-matrix in the operator form. Few-Body Syst. 53, 237 (2012)
J. Golak et al., Two-nucleon systems in three dimensions. Phys. Rev. C 81, 034006 (2010)
L. Wolfenstein, Possible triple-scattering experiments. Phys. Rev. 96, 1654 (1954)
Y. Saad, Iterative Methods for Sparse Linear Systems (SIAM, Philadelphia, PA, 2003)
K. Topolnicki et al., The general operator form for the total-momentum-dependent nucleon–nucleon potential. Eur. Phys. J. A 52, 188 (2016)
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This article belongs to the Topical Collection “The 23rd European Conference on Few-Body Problems in Physics”.
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Topolnicki, K., Golak, J., Skibiński, R. et al. Three Nucleon Scattering in a 3D Approach at the First Order. Few-Body Syst 58, 10 (2017). https://doi.org/10.1007/s00601-016-1163-4
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DOI: https://doi.org/10.1007/s00601-016-1163-4