${}^{15}$C: from Halo-EFT structure to the study of transfer, breakup and radiative-capture reactions

Abstract

Aside from being a one-neutron halo nucleus, ${}^{15}$C is interesting because it is involved in reactions of relevance for several nucleosynthesis scenarios. The aim of this work is to analyze various reactions involving ${}^{15}$C, using a single structure model based on Halo EFT. To develop a Halo-EFT model of ${}^{15}$C at NLO, we first extract the ANC of its ground state by analyzing ${}^{14}$C(d,p)${}^{15}$C transfer data at low energy. Using this Halo-EFT description, we study the ${}^{15}$C Coulomb breakup at high (605AMeV) and intermediate (68AMeV) energies using eikonal models with a consistent treatment of nuclear and Coulomb interactions at all orders, and proper relativistic corrections. Finally, we study the ${}^{14}$C(n,$\gamma$)${}^{15}$C radiative capture. Our theoretical cross sections are in good agreement with experimental data for all reactions, thereby assessing the robustness of the ${}^{15}$C Halo-EFT model. Since a simple NLO description is enough to reproduce all data, the only nuclear-structure observables that matter are the binding energy and its ANC, showing that all the reactions considered are purely peripheral. In particular, it confirms the ANC value obtained for the ${}^{15}$C ground state: 1.59$\pm$0.06fm${}^{-1}$. Our model provides also a new estimate of the radiative-capture cross section at astrophysical energy (23.3keV): 4.66$\pm$0.14$\mu$b. Including a Halo-EFT description of ${}^{15}$C within precise models of reactions is confirmed to be an excellent way to relate the nucleus reaction cross sections and structure. Its systematic expansion enables us to deduce which nuclear-structure observables are actually probed in the collision. From this, we can infer valuable information on both the structure of ${}^{15}$C and its synthesis through the ${}^{14}$C(n,$\gamma$)${}^{15}$C radiative capture at astrophysical energies.

arXiv commentAccepted for publication in Physical Review C

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Cited by in corpus (5)

• Halo effective field theory analysis of one-neutron knockout reactions of ${}^{11}\mathrm{Be}$ and ${}^{15}\mathrm{C}$
• Sensitivity of one-neutron knockout to the nuclear structure of halo nuclei
• Perspectives on few-body cluster structures in exotic nuclei
• Radiative proton capture on ${}^{15}\mathrm{N}$ within effective field theory
• Combining Halo-EFT descriptions of nuclei and precise models of nuclear reactions