Simulation study to search for the α-condensed state in 24Mg by measuring 12C+12C scattering with AT-TPC

It is well known that many light nuclei possess prominent cluster structures and the αparticle plays an important role as a constituent of the cluster state. As elucidated by the Ikeda diagram, the α-cluster structures are expected to emerge near the α-decay threshold energies. The α-condensed state, which is one of the α-cluster states, is of great interest because all the α clusters are condensed into the lowest-energy orbit and its density becomes dilute. The theoretical calculation by T. Yamada et al. suggested that the energy of the α-condensed state increases with the mass number, but they still exist up to A=40. However, the α-condensed states in A≥16 have never been experimentally established. Therefore, we proposed to search for the α-condensed state in 24Mg by measuring the 12C + 12C scattering with AT- TPC developed in Michigan State University. A 12C beam at 55 MeV will be injected to AT-TPC filled with isoC4H10 gas at about 0.1 atm, and the excitation-energy region of Ex =28.5̶40 MeV in 24Mg with the thick-target method. Because AT-TPC can track low-energy charged particles over large solid angles, it is useful for detecting multi-α particles emitted from the α-condensed state. For this experiment, we have conducted a simulation to examine the feasibility of the proposed experiment. In the present talk, we will report the intermediate results of the simulation.