Behera, A. K.; Khirali, B.; Laha, U.; Bhoi, J. Construction of an equivalent energy-dependent potential by a Taylor series expansion. (English. Russian original) Zbl 1453.81062 Theor. Math. Phys. 205, No. 1, 1353-1363 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 124-136 (2020). Summary: To construct a phase-equivalent energy-dependent local potential corresponding to a sum of local and nonlocal interactions, we use a simple method for expanding the wave function in a Taylor series up to the third order. We apply the constructed potentials to calculate the scattering phase shifts using the phase equation. The results for scattering in nucleon-nucleon, \( \alpha \)-nucleon, and \(\alpha-\alpha\) systems agree reasonably well with the standard data. MSC: 81V35 Nuclear physics 81U05 \(2\)-body potential quantum scattering theory 81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis 35S05 Pseudodifferential operators as generalizations of partial differential operators 35P25 Scattering theory for PDEs 41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) Keywords:Coulomb-Yamaguchi potential; Taylor series expansion; phase-equivalent potentials; phase equation; nucleon-nucleon system; \( \alpha \)-nucleon system; \( \alpha-\alpha\) system PDFBibTeX XMLCite \textit{A. K. Behera} et al., Theor. Math. Phys. 205, No. 1, 1353--1363 (2020; Zbl 1453.81062); translation from Teor. Mat. Fiz. 205, No. 1, 124--136 (2020) Full Text: DOI References: [1] Arndt, R. A.; Roper, L. D.; Bryan, R. A.; Clark, R. B.; West, B. J. Ver; Signell, P., Nucleon-nucleon partial-wave analysis to 1 GeV, Phys. Rev. D, 28, 97-122 (1983) [2] Arndt, R. A.; Hyslop, J. S.; Roper, L. 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