Probing negative-parity states of Mg 24 probed with proton and α inelastic scattering

Background: The band structure of the negative-parity states of Mg24 has not yet been clarified. The Kπ=0-, Kπ=1-, and Kπ=3- bands have been suggested, but the assignments have been inconsistent between experiments and theories. Purpose: Negative-parity states of Mg24 are investigated by microscopic structure and reaction calculations via proton and α inelastic scattering to clarify the band assignment for the observed negative-parity spectra. Method: The structure of Mg24 was calculated using the antisymmetrized molecular dynamics (AMD). Proton and α inelastic reactions were calculated using microscopic coupled-channel (MCC) calculations by folding the Melbourne g-matrix NN interaction with the AMD densities of Mg24. Results: The member states of the Kπ=0+, Kπ=2+, Kπ=0-, Kπ=1-, and Kπ=3- bands of Mg24 were obtained through the AMD result. In the MCC+AMD results for proton and α elastic and inelastic cross sections, reasonable agreements were obtained with existing data, except in the case of the 41+ state. Conclusions: The 3- state of the Kπ=3- band and the 1- and 3- states of the Kπ=0- bands were assigned to the 31-(7.62 MeV), 11-(7.56 MeV), and 32-(8.36 MeV) states, respectively. The present AMD calculation is the first microscopic structure calculation to reproduce the energy ordering of the Kπ=0-, Kπ=1-, and Kπ=3- bands of Mg24.