Analysis of the dependence of the few-neutron transfer probability on the $Q$-value magnitudes

Employing the known experimental fact that the sub-barrier capture (fusion) enhancement in the reactions ${}^{40}\mathrm{Ca}+{}^{94,96}\mathrm{Zr}$ and ${}^{40}\mathrm{Ca}+{}^{116,124,132}\mathrm{Sn}$ is not proportional to the magnitudes of $Q$ values for the neutron transfer, the similarity of the structure of the target nuclei, and the conservation of the total reaction flux, we analyze the dependence of a few-neutron transfer probability on the magnitudes of $Q$ values. This analysis is checked by the calculations of nucleon transfer probabilities within the time-dependent Hartree-Fock plus BCS approach.

Figure 1

The calculated with the TDHF plus BCS approach one- (symbols connecting by solid lines), two- (symbols connecting by dotted lines), three- (symbols connecting by dashed lines), and four-neutron (symbols connecting by dash-dotted lines) transfer probabilities vs $V_b-E_{\mathrm{c}.\mathrm{m}.}$ for the reactions ${}^{40}\mathrm{Ca}+{}^{116}\mathrm{Sn}$ (circles), ${}^{40}\mathrm{Ca}+{}^{124}\mathrm{Sn}$ (triangles), and ${}^{40}\mathrm{Ca}+{}^{130}\mathrm{Sn}$ (squares).

Figure 2

The calculated $P_{\mathrm{tr}}$ vs $V_b-E_{\mathrm{c}.\mathrm{m}.}$ with the TDHF plus BCS approach for the reactions ${}^{40}\mathrm{Ca}+{}^{116}\mathrm{Sn}$ (triangles connected by solid line), ${}^{40}\mathrm{Ca}+{}^{124}\mathrm{Sn}$ (circles connected by dashed line), and ${}^{40}\mathrm{Ca}+{}^{130}\mathrm{Sn}$ (squares connected by dotted line).