New Method of Phase Shift Analysis by Using the Pade Approximants

摘要

In this paper it is shown that the Pade approximant of the second type (P.A.II) can improve the rate of convergence of a Legendre convergent series. Expanding the P.A.II in a Legendre series, one can recover the coefficients of the original series to a high orbital momentum value. Approximating the scattering amplitude with a P.A.II ansatz and a limited number of parameters one pay obtain information about higher partial waves by expanding the P.A.II. The method is extended to spin 0 on spin 1/2 scattering (examples are shown for pi N phase shift analysis) using the P.A.II for the scattering amplitude in the Barrelet formalism. (Atomindex citation 15:043005)