Abstract
The Wolfenstein parameters are for the first time obtained analytically in terms of observables. It is shown that a set of ten nucleon–nucleon (NN) observables, which contains polarization observables together with the differential cross section, determines uniquely the solution for Wolfenstein parameters except for a common insignificant phase. Using such analytical solutions one expects to get more accurate theoretical parameters for the potential models by χ 2 fitting to the resulting Wolfenstein parameter data than the standard manner of a phase-shift analysis. An example of fixing a unique set of physical solutions for the Wolfenstein parameters from a set of 16 solutions based on nine observables alone and adding one more observable is illustrated using pseudo data generated by the CD Bonn potential.
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Acknowledgments
This work was supported in part by a Grant-in-Aid for Scientific Research (A) (19294924) in Japan and by the Polish 2008–2011 Science Funds as the research project No. N N202 077435.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Kamada, H., Glöckle, W., Witała, H. et al. Determination of Wolfenstein Parameters in NN Scattering Directly from Observables. Few-Body Syst 50, 231–234 (2011). https://doi.org/10.1007/s00601-010-0205-6
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DOI: https://doi.org/10.1007/s00601-010-0205-6