Abstract
Background: The breakout from the hot Carbon-Nitrogen-Oxigen (CNO) cycles can trigger the rp-process in type I x-ray bursts. In this environment, a competition between and the two-proton capture reaction is expected.
Purpose: Determine the three-body radiative capture reaction rate for formation including sequential and direct, resonant and nonresonant contributions on an equal footing.
Method: Two different discretization methods have been applied to generate states in a full three-body model: the analytical transformed harmonic oscillator method and the hyperspherical adiabatic expansion method. The binary interaction has been adjusted to reproduce the known spectrum of the unbound nucleus. The dominant contributions to the reaction rate have been calculated from the inverse photodissociation process.
Results: Three-body calculations provide a reliable description of states. The agreement with the available experimental data on is discussed. It is shown that the reaction rates computed within the two methods agree in a broad range of temperatures. The present calculations are compared with a previous theoretical estimation of the reaction rate.
Conclusions: It is found that the full three-body model provides a reaction rate several orders of magnitude larger than the only previous estimation. The implications for the rp-process in type I x-ray bursts should be investigated.
3 More- Received 1 August 2016
- Revised 5 October 2016
DOI:https://doi.org/10.1103/PhysRevC.94.054622
©2016 American Physical Society