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Algorithm for solving the Faddeev equations in the three-body continuum under avoidance of moving logarithmic singularities

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Abstract

A new method is presented for solving the Faddeev equations in the three-body continuum, which avoids the moving logarithmic singularities present in momentum space methods used up to now. The new algorithm leads to a simple structure of the Faddeev integral kernel, what simplifies significantly the numerical realization. Its application in nuclear physics is, however, still plagued by the presence of the virtual-state pole in the nucleon-nucleon1S0 channel. Omitting that channel in calculations with the Bonn-B potential we demonstrate excellent agreement between three-nucleon observables obtained with the new and a former method. Since the codes are quite different, this can be considered as a convincing test.

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Hüber, D., Kamada, H., Witała, H. et al. Algorithm for solving the Faddeev equations in the three-body continuum under avoidance of moving logarithmic singularities. Few-Body Systems 16, 165–175 (1994). https://doi.org/10.1007/BF01344396

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  • DOI: https://doi.org/10.1007/BF01344396

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