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Description of the low-energy doublet neutron-deuteron scattering in terms of parameters characterizing bound and virtual triton states

  • Nuclei
  • Theory
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Abstract

Low-energy doublet neutron-deuteron scattering is described in terms of the energies of the bound and virtual triton states and the nuclear vertex constants for these states. For the first time, the van Oers-Seagrave formula is derived from the Bargmann representation of the S matrix for a system having two states. The presence of a pole in this formula is shown to be a direct corollary of the existence of a low-energy virtual triton state. Simple explicit expressions for the nd scattering length and for the pole of the function kcotδ are obtained in terms of the parameters of the bound and virtual triton states. The low-energy parameters of nd scattering are calculated numerically, whereby it is shown that these parameters are highly sensitive to variations in the asymptotic normalization constant C 2v for the virtual state. The C 2v value fitted in our model to the experimental result for the nd scattering length is 0.0592.

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Authors and Affiliations

  1. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Metrologicheskaya ul. 14b, Kiev, 252143, Ukraine

    V. A. Babenko & N. M. Petrov

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  1. V. A. Babenko
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  2. N. M. Petrov
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__________

Translated from Yadernaya Fizika, Vol. 63, No. 10, 2000, pp. 1798–1804.

Original Russian Text Copyright © 2000 by Babenko, Petrov.

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Babenko, V.A., Petrov, N.M. Description of the low-energy doublet neutron-deuteron scattering in terms of parameters characterizing bound and virtual triton states. Phys. Atom. Nuclei 63, 1709–1715 (2000). https://doi.org/10.1134/1.1320139

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  • DOI: https://doi.org/10.1134/1.1320139

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