Abstract
Pais's functional equation for the phase shifts for scattering with nonzero angular momentum is solved for particles with low energies. It is shown that for short-range potentials with screening (in particular, of Yukawa or Thomas-Fermi type), Pais's equation reduces to transcendent equations. For potentials about/r /sup n/, n > 0, simple algebraic equations are obtained for finding the phase shifts delta /sub l/, l is identical to 0. The possibility of using Pais's approximation to find resonance situations in the case of the scattering of slow particles with nonzero angular momentum is discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have