Investigation of neutron transfer in ${}^7\mathrm{Li}+{}^{124}\mathrm{Sn}$ system

The relative importance of neutron transfer and breakup process in a reaction around Coulomb barrier energies has been studied for the ${}^7\mathrm{Li}+{}^{124}\mathrm{Sn}$ system. Coupled channel calculations have been performed to understand the one neutron stripping and pickup cross sections along with the breakup in the ${}^7\mathrm{Li}+{}^{124}\mathrm{Sn}$ system. The systematics of one and two neutron stripping and pickup cross sections with a ${}^7\mathrm{Li}$ projectile on several targets show an approximate universal behavior, which has been explained by a simple model based on barrier penetration. Complete reaction mechanism have been studied by comparing the reaction cross sections with the measured total fusion and one neutron transfer cross sections.

Figure 1

Elastic scattering data for the ${}^7\mathrm{Li}+{}^{120}\mathrm{Sn}$ system [56, 57] are compared with the calculations. Red triangle data are for the ${}^7\mathrm{Li}+{}^{124}\mathrm{Sn}$ system [58] at 28 MeV (see text for details).

Figure 2

Real and imaginary parts of dynamic polarization potentials due to breakup (dashed lines) and $\mathrm{breakup}+\mathrm{transfer}$ (solid lines) couplings in the ${}^7\mathrm{Li}+{}^{124}\mathrm{Sn}$ system at three bombarding energies 20, 24, and 30 MeV.

Figure 3

Measured one neutron stripping cross sections in the ${}^7\mathrm{Li}+{}^{124}\mathrm{Sn}$ system are compared with the three set of calculations (see text for details).

Figure 4

Measured combined one neutron and one proton pickup cross sections in the ${}^7\mathrm{Li}+{}^{124}\mathrm{Sn}$ system are compared with the calculations (see text for details).

Figure 5

Systematic behavior of (a) one neutron stripping, (b) two neutron stripping, and (c) combined one neutron and one proton pickup cross sections as a function of reduced energy with ${}^7\mathrm{Li}$ projectile on various targets. Lines are fit to the data.

Figure 6

Measured CF, ICF, transfer cross sections [9] and their sum are compared with the reaction cross sections. NCBU, cumulative absorption, and BPM model calculations are also shown (see text for details).