Author:
Blokhintsev L. D.,Savin D. A.
Abstract
Abstract
It is shown that the Schrödinger equation for the sum of the potential of a square well and the Coulomb potential of a uniformly charged sphere admits an analytical solution for arbitrary values of the orbital angular momentum. An explicit form of this solution has been found. Using the obtained solution, the influence of the Coulomb interaction for both point and distributed nuclear charges on the values of asymptotic normalization coefficients for various nuclear systems is investigated. It is shown that taking into account the non-point distribution of the nuclear charge has little effect on the calculated values of the asymptotic normalization coefficients, provided that the binding energy of the system is assumed to be fixed.
Subject
Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Reference21 articles.
1. A. M. Mukhamedzhanov and N. K. Timofeyuk, Sov. J. Nucl. Phys. 51, 431 (1990).
2. H. M. Xu, C. A. Gagliardi, R. E. Tribble, et al., Phys. Rev. Lett. 73, 2027 (1994).
3. A. M. Mukhamedzhanov and R. E. Tribble, Phys. Rev. C 59, 3418 (1999).
4. A. M. Mukhamedzhanov, C. A. Gagliardi, and R. E. Tribble, Phys. Rev. C 63, 024612 (2001).
5. L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, and D. A. Savin, Phys. Rev. C 97, 024602 (2018).
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