This article is cited in 4 papers

Construction of an equivalent energy-dependent potential by a Taylor series expansion

A. K. Behera^a, B. Khirali^a, U. Laha^a, J. Bhoi<sup>b

a</sup> Department of Physics, National Institute of Technology, Jamshedpur, India
^b Department of Physics, Veer Surendra Sai University of Technology, Odisha, India

Abstract: 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.

Keywords: Coulomb–Yamaguchi potential, Taylor series expansion, phase-equivalent potentials, phase equation, nucleon–nucleon system, $\alpha$–nucleon system, $\alpha$–$\alpha$ system.

PACS: 03.65.Nk; 21.30.Fe; 13.75.Cs; 24.10.-i

Received: 01.03.2020
Revised: 05.05.2020

DOI: 10.4213/tmf9896

 English version: Theoretical and Mathematical Physics, 2020, 205:1, 1353–1363

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