Time-dependent analysis of neutrons transfer reactions $^{181}$Ta($^{18}$O,$^{19}$O) at near-barrier energies

Oct 13, 2020, 6:35 PM


Poster report Section 2. Experimental and theoretical studies of nuclear reactions. Poster session 2 (part 1)


Aidos Azhibekov (Joint Institute for Nuclear Research)


Numerical solution of the time-dependent Schrodinger equation (TDSE) 1 is used for studying neutron transfer processes at near-barrier energies. The evolution of the wave functions for outer neutron is determined for reactions $^{181}$Ta($^{18}$O,$^{19}$O). TDSE allows us to visualize the dynamics of taking place processes [1-3]. The transfer probabilities are calculated for outer neutron shells of the colliding nuclei. The results of calculations of transfer cross sections are in satisfactory agreement with experimental data [4] for reaction $^{181}$Ta($^{18}$O,$^{19}$O). High probability of neutron transfer from the $^{181}$Ta nucleus to the 2$s$ orbital of $^{18}$O nucleus at near-barrier energies has been yielded (see Figure 1). In previous our work [4], differential cross sections for the formation of oxygen isotopes in the reaction $^{18}$O + $^{181}$Ta have been measured at projectile nucleus energy 10$A$ MeV on the high-resolution magnetic spectrometer MAVR. Theoretical analysis has been performed in the DWBA formalism using the FRESCO code under the assumption of sequential neutron transfer mechanism.
Evolution of probability density of outer neutron of $^{181}$Та nucleus ($a$, $b$, $c$, $d$) in $^{18}$О+$^{181}$Та reaction at $E_{\text{c.m.}}$ = 81.86 MeV and the impact parameter $b$ = 4.76 fm ($V_\text{B}$ = 68.94 MeV). The radii of the circles are equal to the root-mean-square charge radii of the nuclei.

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2 Yu.E. Penionzhkevich, Yu.G. Sobolev, V.V. Samarin et al., Energy dependence of the total cross section for the $^{11}$Li+$^{28}$Si reaction, Phys. Rev. C 99 (2019) 014609.
3 Yu.E. Penionzhkevich, Yu.G. Sobolev, V.V. Samarin, M.A. Naumenko, Peculiarities in total cross sections of reactions with weakly bound nuclei $^{6}$He, $^{9}$Li // Physics of Atomic Nuclei 80 (2017) 928.
4 A.K. Azhibekov, V.A. Zernyshkin, V.A. Maslov, Yu.E. Penionzhkevich et al., Differential Production Cross Sections for Isotopes of Light Nuclei in the $^{18}$O + $^{181}$Ta Reaction // Physics of Atomic Nuclei 83 (2020) 94.

Primary author

Aidos Azhibekov (Joint Institute for Nuclear Research)

Presentation materials