Constraining the Shell Gap in C via Transfer to the Continuum in the CC Reaction
P. Punta · J. A. Lay · A. M. Moro · J. Lois-Fuentes · B. Fernández-Domínguez
Recently, a semi-microscopic structure model has been presented to study the structure of a weakly-bound, two-body nucleus with a deformed core, including Pauli-blocking effects. The model has been successfully applied within the adiabatic distorted wave approximation (ADWA) reaction framework to study the reactions C(d, p)C, restricting the analysis to bound states of the residual C nucleus. In these calculations, the structure of C is described using the recently presented semimicroscopic Nilsson+AMD model (NAMD), considering different Pauli-blocking methods. In the present work, the analysis is extended to unbound states of this nucleus with the aim of constraining the location of the single-particle strength and infer the shell-gap. Comparing the measured energy differential cross section for this reaction with calculations in which the position of the orbital is arbitrarily varied, we conclude that a large shell-gap (>5 MeV) is required, in agreement with recently reported value from [J. Lois-Fuentes et al., Phys. Lett. B 867, 139600 (2025)].