Two-neutron transfer in Sn isotopes beyond the $N=82$ shell closure

We have performed microscopic distorted-wave Born approximation calculations of differential cross sections for the two reactions ${}^{136}\mathrm{Sn}\left(p,t\right){}^{134}\mathrm{Sn}$ and ${}^{134}\mathrm{Sn}\left(t,p\right){}^{136}\mathrm{Sn}$, which are within reach of near-future experiments with radioactive ion beams. We have described the initial and final nuclear states in terms of the shell model, employing a realistic low-momentum two-body effective interaction derived from the CD-Bonn nucleon-nucleon potential that has already proved quite successful in describing the available low-energy spectrum of ${}^{134}\mathrm{Sn}$. We discuss the main features of the predicted cross sections for the population of the low-lying yrast states in the two nuclei considered.

Figure 1

Comparison between experimental [5] and calculated differential cross sections for the ${}^{124}\mathrm{Sn}\left(p,t\right){}^{122}\mathrm{Sn}$ ground-state transition. The line represents the results of the microscopic calculation (in $\mu \mathrm{b}/\mathrm{sr}$) as a function of the center-of-mass angle (in degrees).

Figure 2

Calculated excitation energies of ${}^{134}\mathrm{Sn}$ and ${}^{136}\mathrm{Sn}$ compared with the available experimental ones.

Figure 3

Calculated differential ($t,p$) cross sections for the two lowest $0^{+}$ states in ${}^{136}\mathrm{Sn}$ at 20 MeV incident energy.

Figure 4

Calculated differential ($p,t$) cross sections for the two lowest $0^{+}$ states in ${}^{134}\mathrm{Sn}$ at 20 MeV incident energy.

Figure 5

Calculated differential ($t,p$) cross sections for the yrast $0^{+}$, $2^{+}$, $4^{+}$, and $6^{+}$ levels in ${}^{136}\mathrm{Sn}$ at 20 MeV incident energy.

Figure 6

Calculated differential ($p,t$) cross sections for the yrast $0^{+}$, $2^{+}$, $4^{+}$, and $6^{+}$ levels in ${}^{134}\mathrm{Sn}$ at 20 MeV incident energy.