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, α–nucleon, and α–α systems agree reasonably well with the standard data.
Keywords:
Coulomb–Yamaguchi potential, Taylor series expansion, phase-equivalent potentials, phase equation, nucleon–nucleon system, α–nucleon system, α–α system.
Citation:
A. K. Behera, B. Khirali, U. Laha, J. Bhoi, “Construction of an equivalent energy-dependent potential by a Taylor series expansion”, TMF, 205:1 (2020), 124–136; Theoret. and Math. Phys., 205:1 (2020), 1353–1363
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\by A.~K.~Behera, B.~Khirali, U.~Laha, J.~Bhoi
\paper Construction of an~equivalent energy-dependent potential by a~Taylor series expansion
\jour TMF
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\vol 205
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\pages 124--136
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\jour Theoret. and Math. Phys.
\yr 2020
\vol 205
\issue 1
\pages 1353--1363
\crossref{https://doi.org/10.1134/S0040577920100086}
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Linking options:
https://www.mathnet.ru/eng/tmf9896
https://doi.org/10.4213/tmf9896
https://www.mathnet.ru/eng/tmf/v205/i1/p124
This publication is cited in the following 2 articles:
A. K. Behera, U. Laha, M. Majumder, J. Bhoi, “Applicability of phase-equivalent energy-dependent potential. Case studies”, Phys. Atom. Nuclei, 85:1 (2022), 124–138
A. K. Behera, U. Laha, “Phase equivalent Coulomb-like potential”, Pramana-J. Phys., 95:3 (2021), 103