Abstract:
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
Received:March 18, 2011 Revised:May 16, 2011 Accepted: June 8, 2011
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