One-nucleon transfer reactions in the 20Ne+76Ge system at Elab=15.3 MeV/u

OpenAlex lv

Background: The nuclear matrix element (NME) is an important quantity in studies of the neutrinoless double beta ($0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$) decay, for which the $^{76}\mathrm{Ge}$ nucleus is one of the candidate isotopes for direct searches. The NME might be experimentally constrained by heavy-ion double charge exchange (HI-DCE) reaction at relevant energies. However feasibility of the HI-DCE as a tool for the NME requires accurate analyses of the competing multisteps one-nucleon transfers that connects the same initial and final mass partitions.Purpose: In this work we present the one-proton stripping and one-neutron pickup reactions in the $^{20}\mathrm{Ne}+^{76}\mathrm{Ge}$ system measured at 15.3 MeV/u. These one-nucleon transfer reactions are used to benchmark the direct reaction and nuclear structure models that will be used to compute the contribution of multinucleon transfers competing with the HI-DCE.Methods: Experimental data of differential cross sections are compared with coupled reaction channel calculations using spectroscopic amplitudes as obtained from large-scale shell model. The validity of model space and interactions adopted to describe the target and the targetlike nuclei are further checked against (d,p) and ($^{3}\mathrm{He}$,d) data available in the literature.Results: We obtain an overall good description of experimental data for the one-proton stripping and one-neutron pickup transfer in the $^{20}\mathrm{Ne}+^{76}\mathrm{Ge}$ reactions. We also reproduce the behavior of the cross sections for channels in the $^{76}\mathrm{Ge}(^{3}\mathrm{He},\mathrm{d})^{77}\mathrm{As}$ and the $^{76}\mathrm{Ge}(\mathrm{p},\mathrm{d})^{75}\mathrm{Ge}$ data.Conclusions: The result obtained in this work fills some intermediate one-nucleon transfer steps in the intricate multitransfer paths that compete with the direct meson exchange mechanism for the heavy-ion double charge exchange.