Interpolation of the Energy Dependence of Partial-Wave Amplitudes

1 November 1971

journal article
research article
Published by American Physical Society (APS) in Physical Review D

Vol. 4 (9), 2750-2760
https://doi.org/10.1103/physrevd.4.2750

Abstract

Two methods are described for interpolating the energy dependence of phase shifts. Both methods are based on normed analytic approximation theory. The first method interpolates the

D

function of the

\frac{N}{D}

method; the second interpolates the logarithm of this function. As an illustration, the methods are applied to the

{}^{1}S_{0}

and

{}^{1}P_{1} n - p

phase shifts below 400 MeV.

Keywords

This publication has 11 references indexed in Scilit:

Extraction of $Λ K^{-} p$ and $Σ K^{-} p$ Coupling Constants from $K^{\pm} - p$ Forward Amplitudes
Physical Review Letters, 1971
Weight functions and subtractions in dispersion theory
Nuclear Physics B, 1970
Application of Optimized Polynomial Expansions to the Analysis ofp−pScattering
Physical Review Letters, 1970
Analysis of Low-Energy $K^{+} p$ Scattering Data by a New Method
Physical Review D, 1970
On analytic extrapolation of form factors and scattering amplitudes (III). extrapolation off a part of the boundary
Nuclear Physics B, 1969
Theory of representation of scattering data by analytic functions
Annals of Physics, 1969
Determination of the Nucleon-Nucleon Scattering Matrix. X. ( $p, p$ ) and ( $n, p$ ) Analysis from 1 to 450 MeV
Physical Review B, 1969
A stable and convergent extrapolation procedure for the scattering amplitude.—I
Il Nuovo Cimento A (1971-1996), 1969
Optimized Polynomial Expansion for Scattering Amplitudes
Physical Review B, 1968
Determination of Coupling Constants from Poles in Scattering Cross Sections
Physical Review Letters, 1968

Cited by 4 articles