Physics of Atomic Nuclei

, Volume 81, Issue 1, pp 32–37 | Cite as

Behavior of the Elastic-Scattering Cross Section σ(E) in the Vicinity of Two Overlapping Levels with Equal Resonance Energies

  • V. A. Khangulyan
Nuclei Theory


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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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia

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