Time-dependent calculation for processes of neutron transfer and nuclear breakup in $^{11}$Li+$^{28}$Si reaction

Oct 17, 2020, 11:20 AM
25m
Online

Online

Oral report Section 2. Experimental and theoretical studies of nuclear reactions. Section 2. Experimental and theoretical studies of nuclear reactions

Speaker

Aidos Azhibekov (Joint Institute for Nuclear Research)

Description

The results of theoretical calculation of the neutron transfer and nuclear breakup for the $^{11}$Li+$^{28}$Si reaction at energy range 1–55 MeV/nucleon are presented. The total cross sections for the $^{11}$Li+$^{28}$Si reaction are calculated based on a numerical solving of the time-dependent Schrödinger equation for the external weakly bound neutrons of the projectile nucleus $^{11}$Li. Based on probabilities of neutron transfer and nuclear breakup obtained from an exact solving of time-dependent Schrodinger equation, we calculated two-neutron removal cross sections $\sigma_{-2n}$. In the low-energy region for the nuclear reaction with weakly bound nucleus $^{11}$Li, the neutron transfer process gives a large contribution to the two-neutron removal cross sections $\sigma_{-2n}$ [1]. Contributions of reaction channels to the total cross sections were defined.
The shell model of spherical nuclei without spin-orbit interaction was used for description of outer neutrons in the $^{11}$Li nucleus and states of transferred neutron in the target nucleus $^{28}$Si. To confirm the applicability of this principle for calculating reaction cross sections with weakly bound nuclei, we compare calculations taking into account the spin-orbit interaction [2] and without it. The approach without taking into account the spin-orbit interaction does not lead to significant differences in the results.
Enhancement of the total cross section for reactions with light weakly bound lithium nuclei $^{8,9,11}$Li nuclei as compared to with reactions with $^{6,7}$Li arouse great interest. Mechanisms leading to increase in the total cross section at low energies for $^{11}$Li+$^{28}$Si reaction will enable us to explain important problems of nucleosynthesis (nuclear astrophysics) [2-6]. This effect is especially strongly manifested for light nuclei with a neutron halo [7].

References
[1] A.K.Azhibekov, V.V.Samarin, K.A.Kuterbekov, Time-dependent calculations for neutron transfer and nuclear breakup processes in $^{11}$Li+$^{9}$Be and $^{11}$Li+$^{12}$C reactions at low energy, Chinese Journal of Physics (2020) doi:10.1016/j.cjph.2020.01.009
[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, Nuclear Astrophysics, Phys. Atom. Nuclei 73 (2010) 1460.
[4] V.I.Zagrebaev, V.V.Samarin, W.Greiner, Sub-barrier fusion of neutron-rich nuclei and its astrophysical consequences, Phys. Rev. C 75 (2007) 035809.
[5] K.A.Kuterbekov, A.M.Kabyshev, A.K.Azhibekov, Peculiarities of interaction of weakly bound lithium nuclei (A=6–11) at low energies: Elastic scattering and total reaction cross sections, Chinese Journal of Physics 55 (2017) 2523.
[6] A.M.Kabyshev, K.A.Kuterbekov et al., Some peculiarities of interactions of weakly bound lithium nuclei at near-barrier energies, J. Phys. G Nucl. Part. Phys. 45 (2018) 025103.
[7] A.Lemasson et al., Modern Rutherford Experiment: Tunneling of the Most Neutron-Rich Nucleus, Phys. Rev. Lett. 103 (2009) 232701.

Primary authors

Aidos Azhibekov (Joint Institute for Nuclear Research) Dr Viacheslav Samarin (Joint Institute for Nuclear Research)

Co-authors

Prof. Yu.E. Penionznkevich (JINR) Prof. Kairat Kuterbekov (L.N.Gumilyov Eurasian National University)

Presentation materials