Geodesic
Construction of an~equivalent energy-dependent potential by a~Taylor series expansion
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 124-136

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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. 
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     author = {A. K. Behera and B. Khirali and U. Laha and J. Bhoi},
     title = {Construction of an~equivalent energy-dependent potential by {a~Taylor} series expansion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {205},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a7/}
}
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A. K. Behera; B. Khirali; U. Laha; J. Bhoi. Construction of an~equivalent energy-dependent potential by a~Taylor series expansion. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 124-136. http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a7/