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arXiv · 1611.01295

Radiative capture reaction for $^{17}$Ne formation within a full three-body model

J. Casal·E. Garrido·R. de Diego·J. M. Arias·M. Rodríguez-Gallardo
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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 $^{15}\text{O}(α,γ){^{19}\text{Ne}}$ and the two-proton capture reaction $^{15}\text{O}(2p,γ){^{17}\text{Ne}}$ is expected. Purpose: Determine the three-body radiative capture reaction rate for ${^{17}\text{Ne}}$ formation including sequential and direct, resonant and non-resonant contributions on an equal footing. Method: Two different discretization methods have been applied to generate $^{17}$Ne states in a full three-body model: the analytical transformed harmonic oscillator method and the hyperspherical adiabatic expansion method. The binary $p$--$^{15}$O interaction has been adjusted to reproduce the known spectrum of the unbound $^{16}$F nucleus. The dominant $E1$ contributions to the $^{15}\text{O}(2p,γ){^{17}\text{Ne}}$ reaction rate have been calculated from the inverse photodissociation process. Results: Three-body calculations provide a reliable description of $^{17}$Ne states. The agreement with the available experimental data on $^{17}$Ne is discussed. It is shown that the $^{15}\text{O}(2p,γ){^{17}\text{Ne}}$ 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.

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J. Casal, E. Garrido, R. de Diego, J. M. Arias, M. Rodríguez-Gallardo. 2016-11-30. Radiative capture reaction for $^{17}$Ne formation within a full three-body model. https://doi.org/10.1103/physrevc.94.054622

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