Transfer reactions of exotic nuclei including core deformations: $^{11}$Be and $^{17}$C

Background: Reactions with halo nuclei from deformed regions exhibit important deviations from the inert core+valence picture. Structure and reaction formalisms have recently been extended or adapted to explore the possibility of exciting the underlying core. Purpose: We will study up to what extent transfer reactions involving halo nuclei $^{11}$Be and $^{17}$C can be reproduced with two different models that have previously shown a good success reproducing the role of the core in light halo nuclei. Methods: We focus on the structure of $^{11}$Be and $^{17}$C with two core+valence models: Nilsson and a semi-microscopic particle-rotor model using Antisymmetrized Molecular Dinamic calculations of the cores. These models are later used to study $^{16}$C(d,p)$^{17}$C and $^{11}$Be(p,d)$^{10}$Be transfer reactions within the Adiabatic Distorted Wave Approximation. Results are compared with three different experimental data sets. Results: A good reproduction of both the structure and transfer reactions of $^{10}$Be and $^{17}$C is found. The Nilsson model provides an overall better agreement for the spectrum and reactions involving $^{17}$C while the semi-microscopic model is more adequate for $^{11}$Be, as expected, since the $^{17}$C core is closer to an ideal rotor. Conclusions: Both models show promising results for the study of transfer reactions with halo nuclei. We expect that including microscopic information in the Nilsson model, following the spirit of the semi-microscopic model, can provide a useful, yet simple framework for studying newly discovered halo nuclei.