论文标题
部分可观测时空混沌系统的无模型预测
Ab-initio no-core shell model study of $^{18-24}$Ne isotopes
论文作者
论文摘要
我们报告\ textit {ab intio} $^{18-24} $ ne同位素的无核壳模型（NCSM）研究，用于能量光谱，电磁属性和point-proton radii，使用三个逼真的$ nn $互动。我们在Yukawa（Inoy）之外的非本地中使用了依赖电荷的BONN 2000（CDB2K）和手性的近代到次要到领先顺序（n $^3 $ lo）的交互。对于$^{18} $ ne和$ n_ {max} $ = 4，对于$^{19-24} $ ne同位素，$^{18} $ ne和$ n_ {18} $ ne，我们能够达到$ n_ {max} $ = 6的基础大小。我们在基态的结合能（G.S.）方面观察到了INOY相互作用的更好结果，并且总体而言，这三种相互作用与实验性低能光谱提供了良好的一致性。我们减少$ M1 $过渡强度和磁矩的结果接近实验值。我们发现，对于诸如$ e2 $过渡强度，电动四极矩和point-proton radii（$ r_p $）之类的远程可观察物，我们需要更高的$ n_ {max} $计算才能获得与实验数据可比的结果。我们已经观察到收敛的$ r_p $中的几乎6 \％增量，因为我们将模型空间从$ n_ {max} $ = 4增加到$ n_ {max} $ = 6。
We report \textit{ab initio} no-core shell model (NCSM) study of $^{18-24}$Ne isotopes for energy spectra, electromagnetic properties, and point-proton radii using three realistic $NN$ interactions. We have used inside nonlocal outside Yukawa (INOY), charge-dependent Bonn 2000 (CDB2K) and the chiral next-to-next-to-next-to-leading order (N$^3$LO) interactions. We are able to reach basis size up to $N_{max}$ = 6 for $^{18}$Ne and $N_{max}$ = 4 for the $^{19-24}$Ne isotopes with m-scheme dimensions up to 1.0 $\times$ $10^9$ in case of $^{24}$Ne. We observed better results for INOY interaction in terms of the binding energies of ground state (g.s.), and overall all three interactions provide good agreement with the experimental low-energy spectra. Our results for reduced $M1$ transition strengths and magnetic moments are close to the experimental values. We found that for long-range observables such as the $E2$ transition strengths, the electric quadrupole moments, and the point-proton radii ($r_p$), we need higher $N_{max}$ calculations to obtain results comparable to the experimental data. We have observed almost 6 \% increment in the converged $r_p$ as we increase the model space from $N_{max}$ = 4 to $N_{max}$ = 6.
