Laplace transforms of the~Hulth\'en Green's function and their application to potential scattering
Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 1, pp. 104-114
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We derive closed-form representations for the single and double Laplace transforms of the Hulthén Green's function of the outgoing wave multiplied by the Yamaguchi potential and write them in the maximally reduced form. We use the expression for the double transform to compute the low-energy phase shifts for the elastic scattering in the systems $\alpha$–nucleon, $\alpha$–$\text{He}^3$, and $\alpha$–$\text{H}^3$. The calculation results agree well with the experimental data.
Keywords:
Hulthén Green's function, integral transform of Hulthén Green's function, scattering phase shift computation, $\alpha$–nucleon system, $\alpha$–nucleus system.
@article{TMF_2017_193_1_a6,
author = {U. Laha and S. Ray and S. Panda and J. Bhoi},
title = {Laplace transforms of {the~Hulth\'en} {Green's} function and their application to potential scattering},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {104--114},
publisher = {mathdoc},
volume = {193},
number = {1},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2017_193_1_a6/}
}
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U. Laha; S. Ray; S. Panda; J. Bhoi. Laplace transforms of the~Hulth\'en Green's function and their application to potential scattering. Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 1, pp. 104-114. http://geodesic.mathdoc.fr/item/TMF_2017_193_1_a6/