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Nuclear vertex constants and asymptotic normalization coefficients for the tritium nucleus

  • Nuclei
  • Theory
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Abstract

The properties of the nuclear vertex constant for virtual triton decay to a deuteron and a neutron (T → d + n) are investigated along with the properties of the asymptotic normalization coefficient defined for the triton wave function and related to this constant. These quantities are calculated numerically on the basis of an equation that relates the asymptotic normalization coefficient to the triton effective radius ρ T, which was introduced in the present study. The values of G 2T = 1.244(68) fm and C 2T = 2.958(162) found from our calculations are in good agreement with experimental and theoretical estimates obtained for these quantities in other studies. Physical properties of the triton virtual state are also discussed.

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Authors and Affiliations

  1. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Metrologicheskaya ul. 14b, 031143, Kiev, 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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Correspondence to N. M. Petrov.

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Original Russian Text © V.A. Babenko, N.M. Petrov, 2009, published in Yadernaya Fizika, 2009, Vol. 72, No. 12, pp. 2069–2073.

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Babenko, V.A., Petrov, N.M. Nuclear vertex constants and asymptotic normalization coefficients for the tritium nucleus. Phys. Atom. Nuclei 72, 2005–2009 (2009). https://doi.org/10.1134/S1063778809120047

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