Abstract

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.

Highlights

  • Instead of waiting for a natural β-decay, is to skip the gap in the proton dripline by capturing two protons, which would affect the effective lifetime. This effective lifetime of the critical waiting points plays a vital part in determining the overall time scale and relative distributions of elements in the system [3]

  • The critical waiting points among the relatively heavy nuclei, are 64Ge, 68Se, and 72Kr [2], where 68Se is thought to be most important [4]. These systems are ideal candidates to be studied form a three-body perspective, as adding one proton to the critical waiting point creates an unbound system, but adding two protons would create a bound system, which is the very definition of a borromean system

  • This work will focus on studying the proton capture on the critical waiting points from a three-body perspective

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Summary

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