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Effective-range function for doublet nd scattering from an analysis of modern data

  • Nuclei Theory
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Abstract

The parameters of the generalized effective-range function K(k 2) having a pole are found by using the results that were obtained by calculating the S-wave phase shift δ(E) for doublet nd scattering and the triton binding energy on the basis of Faddeev equations and within the N/D method and which were presented in the literature. The convergence of the expansion of K(k 2) in powers of momentum is studied. The binding energy of the virtual triton and the residues of the partial-wave scattering amplitudes at the poles corresponding to the bound and virtual states are calculated. Correlations between the binding energies of the bound and virtual states of the triton, on one hand, and the doublet scattering length for nd interaction, on the other hand, are considered. The function K(k 2) is also calculated within a two-body model featuring various potentials.

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Authors and Affiliations

  1. Institute of Nuclear Physics, Moscow State University, Vorob’evy gory, Moscow, 119992, Russia

    Yu. V. Orlov & L. I. Nikitina

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  1. Yu. V. Orlov
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  2. L. I. Nikitina
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Original Russian Text © Yu.V. Orlov, L.I. Nikitina, 2006, published in Yadernaya Fizika, 2006, Vol. 69, No. 4, pp. 631–646.

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Orlov, Y.V., Nikitina, L.I. Effective-range function for doublet nd scattering from an analysis of modern data. Phys. Atom. Nuclei 69, 607–622 (2006). https://doi.org/10.1134/S1063778806040077

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  • DOI: https://doi.org/10.1134/S1063778806040077

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