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

Abstract

[Background:] The band structure of the negative-parity states of ²⁴Mg 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 ²⁴Mg 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 ²⁴Mg 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 ²⁴Mg. [Results:] The member states of the Kπ=0⁺, Kπ=2⁺, Kπ=0⁻, Kπ=1⁻, and Kπ=3⁻ bands of ²⁴Mg 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 4⁺₁ 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 3⁻₁(7.62 MeV), 1⁻₁(7.56 MeV), and 3⁻₂(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 ²⁴Mg.