AI 中文总结
本研究将核晶格有效场论应用于${}^{24}\text{Mg}$，调整其参数重现相关核实验值，揭示其低激发态兼具混合平均场与α团簇性质，且α团簇态更倾向三轴构型。
AI 中文摘要
将核晶格有效场论（NLEFT）框架应用于${}^{24}\text{Mg}$，旨在获得该原子核一组激发态几何结构的无模型依赖密度图。哈密顿量包含Wigner SU(4)对称核力以及库仑相互作用。已调整自旋-同位旋对称核子-核子势的耦合常数，以重现${}^{24}\text{Mg}$的实验基态（g.s.）能量，以及${}^3\text{H}$与${}^4\text{He}$结合能之间的实验Tjon比。所得参数集能够捕捉每个核子结合能的实验趋势，同时在1%偏差范围内重现了${}^{18}\text{F}$、${}^{22}\text{Na}$、${}^{26}\text{Al}$、${}^{28}\text{Si}$、${}^{30}\text{P}$和${}^{32}\text{S}$的测量值。基于两个最低能量本征值的欧几里得时间外推收敛率的考量，凸显了$0_1^+$和$2_1^+$态的双重性质——混合平均场与α团簇类型。对于α团簇态，三轴α团簇构型似乎比轴对称构型更受青睐，而扁椭超级形变可能是20 MeV激发能处转动带的特征。
英文摘要
The framework of nuclear lattice effective field theory (NLEFT) is applied to $^{24}\mathrm{Mg}$, with the perspective of obtaining a model-independent density map of the geometry of a sample of excited states of the nucleus. The Hamiltonian incorporates Wigner SU(4)-symmetric nuclear forces as well as the Coulomb interaction. The coupling constants of the spin-isospin symmetric nucleon-nucleon potentials have been adjusted in order to reproduce the experimental ground-state (g.s.) energy of $^{24}\mathrm{Mg}$ as well as the experimental Tjon ratio between the binding energies of $^3\mathrm{H}$ and $^4\mathrm{He}$. The ensuing parameter set turns out to be capable of capturing the experimental trend of the binding energy per nucleon, reproducing simultaneously within 1% deviation the measured values for $^{18}\mathrm{F}$, $^{22}\mathrm{Na}$, $^{26}\mathrm{Al}$, $^{28}\mathrm{Si}$, $^{30}\mathrm{P}$ and $^{32}\mathrm{S}$. Considerations based on the convergence rate of Euclidean-time extrapolations for the two lowest energy eigenvalues highlight the dual nature of the $0_1^+$ and $2_1^+$ states, of hybrid mean-field and $α$-cluster type. For the latter, triaxial $α$-cluster configurations seem to be favoured over the axially-symmetric ones, whereas oblate superdeformation might characterize a rotational band at $20$ MeV excitation energy.
Comments11 pages, 1 table, 2 figures, proceedings of the CLUSTER'26 Conference, 8-12 June 2026, Institute of Physics (Islington, London, UK)
