Coulomb systems with a short-range interaction: the Σ-p atom and resonant levels of light nuclei
Kudryavtsev A. E., Lisin V. I., Popov V.S.
An equation relating the shift and width of atomic levels to the strong scattering length, which was derived previously {T. L. Trueman, Nucl. Phys. 26, 57 (1961); A. E. Kudryavtsev and V. S. Popov, Pis'ma Zh. Eksp. Teor. Fiz. 29, 311 (1979) [JETP Lett. 29, 280 (1979)]; V. S. Popov, A. E. Kudryavtsev, and V. D. Mir, Zh. Eksp. Teor. Fiz. 77, 1727 (1979) [Sov. Phys. JETP 50, 865 (1979)]), is generalized to the case of complex momenta к and arbitrary values of the angular momentum / and of ξ — — Z,Z2. The shift and width of the s levels of the Σ ρ atom are calculated. The relationship between the position and width of the resonances in the case of Coulomb repulsion is studied.
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