AI 中文总结
研究采用映射的sdg-IBM模型,结合约束平均场近似,揭示锕系核高自旋晕态的十六极关联效应,提升了激发能与跃迁强度的描述精度。
AI 中文摘要
本研究采用映射的sdg-IBM模型,系统研究了质量数范围为232≤A≤240的钍(Th)、铀(U)、钚(Pu)原子核中十六极关联对低能谱学性质的影响。费米子输入通过基于Gogny能量密度泛函参数化D1S的四极-十六极约束哈特利-福克-博戈留波夫近似获得。sdg-IBM哈密顿量参数通过将四极-十六极费米子平均场势能面映射到对应的玻色子势能面来确定。通过对sdg-IBM哈密顿量对角化得到的低能谱和跃迁强度,与现有实验数据吻合良好。研究表明,十六极集体性的效应可在自旋J^π≥10^+的高自旋晕态中观测到;与更简单的sd-IBM模型相比,映射的sdg-IBM能改善这些态的激发能描述,还能提升高自旋晕态间E2跃迁强度的描述,并预测非晕4^+态到0^+基态存在强E4跃迁。
英文摘要
The impact of hexadecapole correlations on the low-energy spectroscopic properties of Th, U, and Pu nuclei, within the mass range $232 \le A \le 240$, is studied systematically using the mapped $sdg$-IBM model. Fermionic input is obtained via the quadrupole-hexadecapole constrained Hartree-Fock-Bogoliubov approximation, based on the parametrization D1S of the Gogny energy density functional. The $sdg$-IBM Hamiltonian parameters are determined by mapping the quadrupole-hexadecapole fermionic mean-field potential energy surfaces onto the corresponding bosonic surfaces. The low-energy spectra and transition strengths, obtained via the diagonalization of the $sdg$-IBM Hamiltonian, compare well with the available experimental data. It is shown that the effects of hexadecapole collectivity can be observed in high-spin yrast states with spins $J^π \geqslant 10^{+}$. The mapped $sdg$-IBM improves the excitation energies of those states, as compared with the simpler $sd$-IBM model. The $sdg$-IBM also improves the description of the $E2$ transition strengths between high-spin yrast states and predicts strong $E4$ transitions from nonyrast $4^+$ states to the $0^+$ ground state.
Comments14 pages, 10 figures
Journal refPhysical Review C 114, 014331 (2026)