Reconstruction of the optical potential from scattering data

Details Reconstruction of the optical potential from scattering data Reconstruction of the optical potential from scattering data

2005-06-02

arxiv.org/abs/quant-ph/0506014v1

Phys.Rev. C73 (2006) 024004

Physics

Quantum Physics

26 pages, 8 figures, results of nucl-th/0410092 are refined, some new results are presented

Scientific paper

10.1103/PhysRevC.73.024004

We propose a method for reconstruction of the optical potential from scattering data. The algorithm is a two-step procedure. In the first step the real part of the potential is determined analytically via solution of the Marchenko equation. At this point we use a diagonal Pad\'{e} approximant of the corresponding unitary $S$-matrix. In the second step the imaginary part of the potential is determined via the phase equation of the variable phase approach. We assume that the real and the imaginary parts of the optical potential are proportional. We use the phase equation to calculate the proportionality coefficient. A numerical algorithm is developed for a single and for coupled partial waves. The developed procedure is applied to analysis of $^{1}S_{0}$ $NN$, $^{3}SD_{1}$ $NN$, $P31$ $\pi^{-} N$ and $S01$ $K^{+}N$ data.

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