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Scattering phases for particles with nonzero orbital momenta and resonance regimes in the Pais approximation

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Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

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.

Text can be downloaded in Russian. English translation is available on IOP Science.
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/
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)
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Received: 18th, March 2011, revised: 16th, May 2011, 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

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