Capture reactions into Borromean two-proton systems at rp waiting points

17 págs.; 9 figs.; 3 tabs.We investigate even-even two-proton Borromean systems at prominent intermediate heavy waiting points for the rapid proton capture process. The most likely single-particle levels are used to calculate three-body energy and structure as a function of proton-core resonance energy. We establish a linear dependence between two- and three-body energies with the same slope, but the absolute value slightly dependent on partial wave structure. Using these relations we estimate low-lying excited states in the isotones following the critical waiting points. The capture rate for producing a Borromean bound state is described based on a full three-body calculation for temperatures about 0.1¿10 GK. In addition, a simple rate expression, depending only on a single resonance state, is found to comply with the three-body calculation for temperatures between 0.1 and 4 GK. The rate calculations are valid for both direct and sequential capture paths. As a result the relevant path of the radiative capture reactions can be determined. We present results for E1 and E2 photon emission, and discuss occurrence preferences in general as well as relative sizes of these most likely processes. Finally, we present a method for estimating proton capture rates in the region around the critical waiting points. ©2016 American Physical SocietyThis work was funded by the Danish Council for Independent Research DFF Natural Science and the DFF Sapere Aude program, and partly supported by funds provided by DGI of MINECO(Spain) under Contract No. FIS2011-23565. We also acknowledge financial support from the European Research Council under ERC starting grant LOBENA, Grant No. 307447.Peer Reviewe