Abstract
The elastic-scattering process proceeding through two resonance levels that have the same spin j and equal resonance energies, (E1 = E2), but different widths (Γ1 ≠ Γ2) is considered. It is shown that the energy dependence of the total scattering cross section has two equal maxima at the points E1 ± (1/2) \(\sqrt {{\Gamma _1}{\Gamma _2}} \), the cross-section value at the maxima being 4π (2j + 1)ƛ2, where ƛ is the wavelength of the incident particle in the c.m. frame, and that, at the energy E1, the cross section vanishes, σ (E1) = 0. The cross section is symmetric with respect to the point E1.
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Original Russian Text © V.A. Khangulyan, 2018, published in Yadernaya Fizika, 2018, Vol. 81, No. 1, pp. 25–31.
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Khangulyan, V.A. Behavior of the Elastic-Scattering Cross Section σ(E) in the Vicinity of Two Overlapping Levels with Equal Resonance Energies. Phys. Atom. Nuclei 81, 32–37 (2018). https://doi.org/10.1134/S1063778818010131
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DOI: https://doi.org/10.1134/S1063778818010131