Abstract
Three nucleon ground state wave functions are displayed graphically in configuration space. Both the Schrödinger functions and the Faddeev amplitudes from which they are constructed are plotted. It is demonstrated that for the case where the two-nucleon interaction contains strong repulsion at short distances, the Faddeev amplitude bears no resemblance to the Schrödinger function, and is not even positive definite. Furthermore, the Faddeev amplitude is a much smoother function of the three independent coordinate variables, and is therefore much easier to calculate. Certain intuitive features of the Schrödinger wave function are seen to be present.
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The work of J.L. Friar and B.F. Gibson was performed under the auspices of the U.S. Department of Energy.
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Friar, J.L., Gibson, B.F. & Payne, G.L. Configuration space Faddeev calculations. Z Physik A 301, 309–318 (1981). https://doi.org/10.1007/BF01421694
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DOI: https://doi.org/10.1007/BF01421694