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Effect of Coulomb forces on the position of the pole in the scattering amplitude and on its residue

  • Nuclei
  • Theory
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Abstract

The vertex constant for the virtual decay of a nucleus to two charged particles having an arbitrary orbital angular momentum l was explicitly obtained for the first time in the case of a standard expansion of the effective-range function K l (k 2), as well as in the case where the function K 0(k 2) has a pole. The bound state of the 3He nucleus and the resonance states of the 2He and 3He nuclei in the S wave, as well as the resonance states of the 5He and 5Li nuclei in the P wave, are studied as physical examples. For the Np and N d systems, the trajectories of the pole in the complex planes of the momentum and the corresponding renormalized vertex constant are constructed for the transition from a resonance state to a virtual state as the Coulomb interaction is switched off gradually.

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Authors and Affiliations

  1. Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119992, Russia

    Yu. V. Orlov & L. I. Nikitina

  2. Ulughbek National University of Uzbekistan, VUZ Gorodok, Tashkent, 700174, Republic of Uzbekistan

    B. F. Irgaziev

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  1. Yu. V. Orlov
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  2. B. F. Irgaziev
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  3. L. I. Nikitina
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Correspondence to Yu. V. Orlov.

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Original Russian Text © Yu.V. Orlov B.F. Irgaziev L.I. Nikitina, 2010, published in Yadernaya Fizika, 2010, Vol. 73, No. 5, pp. 787–802.

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Orlov, Y.V., Irgaziev, B.F. & Nikitina, L.I. Effect of Coulomb forces on the position of the pole in the scattering amplitude and on its residue. Phys. Atom. Nuclei 73, 757–772 (2010). https://doi.org/10.1134/S1063778810050042

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