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This article is cited in 2 scientific papers (total in 2 papers)
Construction of an equivalent energy-dependent potential by a Taylor series expansion
A. K. Beheraa, B. Khiralia, U. Lahaa, J. Bhoib a 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.
Received: 01.03.2020 Revised: 05.05.2020
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
Linking options:
https://www.mathnet.ru/eng/tmf9896https://doi.org/10.4213/tmf9896 https://www.mathnet.ru/eng/tmf/v205/i1/p124
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Abstract page: | 195 | Full-text PDF : | 41 | References: | 56 | First page: | 7 |
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