Time-dependent description of nucleon-transfer in nuclear reactions

26 Jun 2025, 15:30
30m
conference hall (BLTP)

conference hall

BLTP

Oral Thursday

Speaker

Viacheslav Samarin (Joint Institute for Nuclear Research, Flerov Laboratory of Nuclear Reactions)

Description

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.

  1. V. V. Samarin, Phys. Atom. Nucl. 78, 128 (2015).
  2. V. V. Samarin, M. A. Naumenko, Phys. Atom. Nucl. 85, 880 (2022).
  3. V. V. Samarin, Phys. Atom. Nucl. 81, 486 (2018).
  4. V. V. Samarin, Phys. Atom. Nucl. 78, 861 (2015).
  5. V. V. Samarin, J. Phys.: Conf. Ser. 863, 012041 (2017).

Author

Viacheslav Samarin (Joint Institute for Nuclear Research, Flerov Laboratory of Nuclear Reactions)

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