The nonlocalized cluster model provides a new perspective for describing nuclear cluster effects and has been successfully applied in the study of cluster structures in bound states, scattering states, and also resonant states. However, there is still some room for development when dealing with resonance problems with this new model. The complex scaling method (CSM) is an important method in research of the resonant states. We combine CSM with the nonlocalized cluster model [B. Zhou et al., Phys. Rev. Lett. 110, 262501 (2013)] for the first time, and such combination provides a new way to study the resonance in the nonlocalized cluster model. Here, we apply the CSM to ${}^8\mathrm{Be}$ as a simple example to illustrate its usages and advantages, while pointing out that the generalization to more complicated cluster systems is also natural.

• Received 1 March 2022
• Accepted 3 May 2022

DOI:https://doi.org/10.1103/PhysRevC.105.054317