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The numerical solution of the time-dependent Schrodinger equation (TDSE) [1] for outer neutrons and protons of colliding nuclei are used for description of nucleon-transfer reactions. The calculated cross sections show satisfactory agreement with the experimental data for representative set of reactions. The cross sections for the production of the isotopes ${}^{196,198}$Au in ${}^{4,6,8}$He+${}^{197}$Au reactions were calculated in work [2]. The evolution of wave functions for all nucleons was used to describe multineutron- and multiproton-transfer reactions in ${}^{40}$Ca+${}^{124}$Sn [3] ${}^{17,18}$O+${}^{27}$Al, ${}^{18}$O+${}^{58}$Ni [4], ${}^{40}$Ca+${}^{96}$Zr [1] collisions. The example of evolution of probability density for outer proton of the ${}^{197}$Au nucleus in collision with ${}^{48}$Ca is shown in Fig. 1. The evolution of the alpha-cluster probability density was calculated for the complete and incomplete fusion as well as transfer channels in works [3, 5].
Fig. 1. Evolution of the probability density for the outer proton 1$h_{11/2}$ of the ${}^{197}$Au nucleus calculated by the TDSE method along with the potential landscape (curves) for ${}^{40}$Ca+${}^{197}$Au reaction. The c.m. collision energy is 322 MeV, and the impact parameter is $b$ = 9 fm. The order of panels (a, b, c, d) corresponds to the course of time.
- V. V. Samarin, Phys. Atom. Nucl. 78, 128 (2015).
- V. V. Samarin, M. A. Naumenko, Phys. Atom. Nucl. 85, 880 (2022).
- V. V. Samarin, Phys. Atom. Nucl. 81, 486 (2018).
- V. V. Samarin, Phys. Atom. Nucl. 78, 861 (2015).
- V. V. Samarin, J. Phys.: Conf. Ser. 863, 012041 (2017).