Speaker
Description
In carbon isotopes, the cluster structure is developed and some excited resonant states regarded as gaslike state of α particles appears. For example, the resonant state called the Hoyle state in $^{12}$C is important in the process of the nucleosynthesis. It is very important to study the excited states in $^{12}$C including the Hoyle state, especially resonant states. In the previous works, there are many experiments to probe those states. However, not only resonant states, but also non-resonant states are included in the data from the experiments, so we need to get only information of resonant states.
In our study, we analyze $^{12}$C + nucleon scattering to understand the effects of the resonant and non- resonant states in $^{12}$C. We adapt the complex scaling method (CSM) for the description of the resonant states, and calculate the cross sections with the four-body CDCC method. In the CDCC calculation, we use the JLM potential, which is the optical-model potential and we consider the $0^+,1^-,\ \text{and}\ 2^+$ states of $^{12}$C.
In this conference, we report the results of the breakup cross sections, and discuss the effects of the resonant and non-resonant states in $^{12}$C.
