Probing negative-parity states of ${}^{24}$Mg probed via proton and alpha inelastic scattering

Abstract

[Background:] The band structure of the negative-parity states of ${}^{24}$Mg has not yet been clarified. The $K^{\pi }=0^{-}$, $K^{\pi }=1^{-}$, and $K^{\pi }=3^{-}$ bands have been suggested, but the assignments have been inconsistent between experiments and theories. [Purpose:] Negative-parity states of ${}^{24}$Mg are investigated by microscopic structure and reaction calculations via proton and alpha inelastic scattering to clarify the band assignment for the observed negative-parity spectra. [Method:] The structure of ${}^{24}$Mg was calculated using the antisymmetrized molecular dynamics~(AMD). Proton and alpha inelastic reactions were calculated using microscopic coupled-channel (MCC) calculations by folding the Melbourne $g$-matrix $NN$ interaction with the AMD densities of ${}^{24}$Mg. [Results:] The member states of the $K^{\pi }=0^{+}$, $K^{\pi }=2^{+}$, $K^{\pi }=0^{-}$, $K^{\pi }=1^{-}$, and $K^{\pi }=3^{-}$ bands of ${}^{24}$Mg were obtained through the AMD result. In the MCC+AMD results for proton and alpha 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 $K^{\pi }=3^{-}$ band and the $1^{-}$ and $3^{-}$ states of the $K^{\pi }=0^{-}$ 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 $K^{\pi }=0^{-}$, $K^{\pi }=1^{-}$, and $K^{\pi }=3^{-}$ bands of ${}^{24}$Mg.

arXiv comment14 pages, 9 figures

References in corpus (19)

• Towards a More Complete and Accurate Experimental Nuclear Reaction Data Library (EXFOR): International Collaboration Between Nuclear Reaction Data Centres (NRDC)
• Variation after Angular Momentum Projection for the Study of Excited States Based on Antisymmetrized Molecular Dynamics
• Structure of Excited States of 10Be studied with Antisymmetrized Molecular Dynamics
• Cluster Structures of the Ground and Excited States of 12Be Studied with Antisymmetrized Molecular Dynamics
• The Brieva-Rook Localization of the Microscopic Nucleon-Nucleus Potential
• Mass-number and isotope dependence of the local microscopic optical potential for polarized proton scattering
• Microscopic optical potentials for ${}^4$He scattering
• Microscopic calculations based on chiral two- and three-nucleon forces for proton- and ${}^4$He-nucleus scattering
• Individual low-energy toroidal dipole state in ${}^{24}$Mg
• $\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation
• Consistency between the monopole strength of the Hoyle state determined by structural calculation and that extracted from reaction observables
• No-recoil approximation to knock-on exchange potential in the double folding model for heavy-ion collisions
• Properties of $K^{\pi }=0_1^{+}$, $K^{\pi }=2^{-}$, and $K^{\pi }=0_1^{-}$ bands of ${}^{20}$Ne probed via proton and alpha inelastic scattering
• Microscopic calculation of inelastic proton scattering off ${}^{18}$O, ${}^{10}$Be, ${}^{12}$Be, and ${}^{16}$C for study of neutron excitation in neutron-rich nuclei
• First microscopic coupled-channel calculation of $\alpha$ inelastic cross sections on ${}^{16}$O
• Individual dipole toroidal states: main features and search in (e,e') reaction
• Transition properties of low-lying states in ${}^{28}$Si probed via inelastic proton and alpha scattering
• Reexamination of microscopic optical potentials based on multiple scattering theory
• Correspondence between isoscalar monopole strengths and $\alpha$ inelastic cross sections on ${}^{24}$Mg