The functional Pais equation for scattering phases with nonzero orbital momenta is solved in the case of low-energy particles. For short-range screened potentials, in particular, Yukawa or Thomas — Fermi potentials, the Pais equation is shown to reduce to transcendental equations. For the potentials varying $\sim r^{- n}$, $n > 0$, simple algebraic equations are obtained for determining the phases $\delta_l$, $l\ne 0$. Possible applications of the Pais approximation to the problem of finding resonance regimes in the scattering of low-energy particles with nonzero orbital momenta are discussed.

PACS: 03.65.Nk, 21.45.Bc, 34.50.Cx (all) DOI: 10.3367/UFNe.0182.201202e.0173 URL: https://ufn.ru/en/articles/2012/2/d/ 000304186400004 2-s2.0-84862082402 2012PhyU...55..161B Citation: Bruk Yu M, Voloshchuk A N "Scattering phases for particles with nonzero orbital momenta and resonance regimes in the Pais approximation" Phys. Usp. 55 161–168 (2012) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 18th, March 2011, revised: 16th, May 2011, accepted: 8th, June 2011 Оригинал: Брук Ю М, Волощук А Н «Фазы рассеяния частиц с ненулевыми орбитальными моментами и резонансные ситуации в приближении Пайса» УФН 182 173–180 (2012); DOI: 10.3367/UFNr.0182.201202e.0173