Abstract:
The radial wave functions of the continuum and the elements of the S matrix for
s-wave scattering by the Eckart potential, the Saxon–Woods potential, and the
optical potential are found.
Citation:
A. K. Zaichenko, V. S. Ol'khovskii, “Analytic solutions of the problem of scattering by potentials of the Eckart class”, TMF, 27:2 (1976), 267–269; Theoret. and Math. Phys., 27:2 (1976), 475–477
\Bibitem{ZaiOlk76}
\by A.~K.~Zaichenko, V.~S.~Ol'khovskii
\paper Analytic solutions of the problem of scattering by potentials of the Eckart class
\jour TMF
\yr 1976
\vol 27
\issue 2
\pages 267--269
\mathnet{http://mi.mathnet.ru/tmf3326}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=452240}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 27
\issue 2
\pages 475--477
\crossref{https://doi.org/10.1007/BF01051241}
Linking options:
https://www.mathnet.ru/eng/tmf3326
https://www.mathnet.ru/eng/tmf/v27/i2/p267
This publication is cited in the following 9 articles:
V. H. Badalov, B. Baris, K. Uzun, “Bound states of the D-dimensional Schrödinger equation for the generalized Woods–Saxon potential”, Mod. Phys. Lett. A, 34:14 (2019), 1950107
B.C. Lütfüoğlu, “Surface interaction effects to a Klein–Gordon particle embedded in a Woods–Saxon potential well in terms of thermodynamic functions,”, Can. J. Phys., 96:7 (2018), 843
B. C. Lütfüoğlu, “Comparative Effect of an Addition of a Surface Term to Woods-Saxon Potential on Thermodynamics of a Nucleon”, Commun. Theor. Phys., 69:1 (2018), 23
B. C. Lütfüoğlu, F. Akdeniz, O. Bayrak, “Scattering, bound, and quasi-bound states of the generalized symmetric Woods-Saxon potential”, Journal of Mathematical Physics, 57:3 (2016)
Bekir Can Lütfüoğlu, Muzaffer Erdoğan, “THERMODYNAMIC PROPERTIES OF A NUCLEON UNDER THE GENERALIZED SYMMETRIC WOODS-SAXON POTENTIAL IN FLOURINE 17 ISOTOPE”, ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering, 17:AFG5 SPECIAL ISSUE (2016), 708
O Bayrak, E Aciksoz, “Corrected analytical solution of the generalized Woods–Saxon potential for arbitrary $\ell $ states”, Phys. Scr., 90:1 (2015), 015302
O. Bayrak, D. Sahin, “Exact Analytical Solution of the Klein–Gordon Equation in the Generalized Woods–Saxon Potential”, Commun. Theor. Phys., 64:3 (2015), 259
G. A. Natanzon, “General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions”, Theoret. and Math. Phys., 38:2 (1979), 146–153
G. A. Natanzon, “Construction of the jost function and of the S-matrix for a general potential allowing solution of the Schr�dinger equation in terms of hypergeometric functions”, Soviet Physics Journal, 21:7 (1978), 855