Nuclear Theory
[Submitted on 9 Oct 2025
]
Title: Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
Title: 伽莫夫壳模型计算新的同位素21Al的托马斯-埃尔曼位移
Abstract: Proton-rich nuclei beyond the proton drip line exhibit unique phenomena, such as the Thomas-Ehrman shift (TES), providing valuable insights into nuclear stability and isospin symmetry breaking. The discovery of the lightest new isotope, 21Al, situated beyond the proton drip line, was recently reported in the experiment. In this study, we employ the Gamow shell model (GSM) to explore the TES in mirror pairs 21Al/21O, focusing on how this phenomenon affects the energy levels of these nuclei. Our calculations describe the ground state energies and reveal significant TES with large mirror energy differences in the excited mirror 1/2+ states in 21Al/21O. The large mirror energy difference is primarily due to the significant occupation of weakly bound or unbound s1/2 orbitals, resulting in the extended radial density distributions, and variations in Coulomb energy and nuclear interaction contributions between the mirror states. Additionally, the low-lying states of 21Al are also calculated with the GSM in coupled-channel (GSM-CC) representation, Furthermore, we also predict the cross-section of 20Mg(p, p) scattering, which serves as another candidate approach to study the unbound structure of 21Al in the experiment, offering a theoretical framework for studying the structure and reaction dynamics of 21Al in future experiments.
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