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

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 ${}^{15}\text{O}(\alpha ,\gamma ){}^{19}\text{Ne}$ and the two-proton capture reaction ${}^{15}\text{O}(2p,\gamma ){}^{17}\text{Ne}$ 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 ${}^{15}\text{O}(2p,\gamma ){}^{17}\text{Ne}$ 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 ${}^{15}\text{O}(2p,\gamma ){}^{17}\text{Ne}$ 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.

arXiv comment10 pages, 10 figures. Corrected version

References in corpus (19)

• FaCE: a tool for Three Body Faddeev calculations with core excitation
• New treatment of breakup continuum in the method of continuum discretized coupled channels
• The Pauli principle in a three-body cluster model and the momentum distributions after fragmentation of 6He and 11Li
• Cross Section Measurement of 9Be(γ,n)8Be and Implications for α+α+n -> 9Be in the r-Process
• Three-body structure of the low-lying ${}^{17}$Ne-states
• Astrophysical reaction rate for ${}^9$Be formation within a three-body approach
• Three-body continuum discretization in a basis of transformed harmonic oscillator states
• Astrophysical reaction rate for $\alpha (\alpha n,\gamma )$${}^9$Be by photodisintegration
• Relative production rates of ${}^6$He, ${}^9$Be, ${}^{12}$C in astrophysical environments
• Analytical transformed harmonic oscillator basis for three-body nuclei of astrophysical interest: Application to 6He
• Local scale transformations and extended matter distributions in nuclei
• Three-body resonant radiative capture reactions in astrophysics
• ${}^9$Be elastic scattering on ${}^{208}$Pb and ${}^{27}$Al within a four-body reaction framework
• Radiative capture and electromagnetic dissociation involving loosely bound nuclei: the ${}^8$B example
• Classification of three-body quantum halos
• Cluster sum rules for three-body systems with angular-momentum dependent interactions
• Techniques to treat the continuum applied to electromagnetictransitions in ${}^8$Be
• Determining astrophysical three-body radiative capture reaction rates from inclusive Coulomb break-up measurements
• Three-body continuum wave functions with a box boundary condition

Cited by in corpus (11)

• Identifying structures in the continuum: Application to ${}^{16}$Be
• Two-nucleon emitters within a pseudostate method: The case of ${}^6$Be and ${}^{16}$Be
• Structure of 13Be probed via quasi-free scattering
• Linking structure and dynamics in $(p,pn)$ reactions with Borromean nuclei: the ${}^{11}$Li$(p,pn){}^{10}$Li case
• Continuum and three-nucleon force in Borromean system: The 17Ne case
• Transfer reactions of exotic nuclei including core deformations: ${}^{11}$Be and ${}^{17}$C
• From Coulomb excitation cross sections to non-resonant astrophysical rates in three-body systems: ${}^{17}$Ne case
• The algebraic molecular model in ${}^{12}$C and its application to the $\alpha$+${}^{12}$C scattering: from densities and transition densities to optical potentials and nuclear formfactors
• Pauli Blocking effects in Nilsson states of weakly bound exotic nuclei
• Three-body radiative capture reactions
• Studies of quasiclassical approach applicability to true three-body decays