Influence of the symmetry energy on the nuclear binding energies and the neutron drip line position
Influence of the symmetry energy on the nuclear binding energies and the neutron drip line position
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DOI：
10.1103/physrevc.108.054305
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发表时间：
2023-08
影响因子：
3.1
通讯作者：
A. Ravli'c;E. Yüksel;T. Nikšić;N. Paar
中科院分区：
文献类型：
--
作者：
A. Ravli'c;E. Yüksel;T. Nikšić;N. Paar
在核物质的性质和有限核的可观测量之间可以建立一个清晰的联系，例如对称能的斜率和偶极极化率之间的相关性，或者压缩性和等熵巨共振激发能之间的相关性。在现实的原子核和理想化的无限核物质之间建立联系，可以更好地理解支配核动力学的潜在物理机制。在这项工作中，我们的目标是研究的结合能和相关的量（如滴线的位置，束缚的偶偶核的总数）的对称性能量$S_2（\rho）$的依赖性。采用相对论性Hartree-Bogoliubov（RHB）模型，假设偶偶轴对称和反射对称核，计算了有限核的性质。计算是通过采用两个家庭的相对论能量密度泛函（EDF），基于不同的有效拉格朗日，约束到一个特定的对称能量在饱和密度$J$的间隔内的$30$-$36$兆电子伏。核结合能和相关的数量之间的绑定核计算从两个质子到两个中子滴线8\leq Z \leq 104$。当接近中子滴线时，与更硬的$J$的相互作用倾向于预测更多的束缚核，导致两个中子滴线向更多的富中子核的系统性转变。相应地，对于一组用类似的优化方法约束的泛函，建立了束缚核数N nucl和S2（\rho）之间的关系.束缚核数和对称能之间的关系的方向在很大程度上取决于所考虑的密度。
A clear connection can be established between properties of nuclear matter and finite-nuclei observables, such as the correlation between the slope of the symmetry energy and dipole polarizability, or between compressibility and the isoscalar monopole giant resonance excitation energy. Establishing a connection between realistic atomic nuclei and an idealized infinite nuclear matter leads to a better understanding of underlying physical mechanisms that govern nuclear dynamics. In this work, we aim to study the dependence of the binding energies and related quantities (e.g. location of drip lines, the total number of bound even-even nuclei) on the symmetry energy $S_2(\rho)$. The properties of finite nuclei are calculated by employing the relativistic Hartree-Bogoliubov (RHB) model, assuming even-even axial and reflection symmetric nuclei. Calculations are performed by employing two families of relativistic energy density functionals (EDFs), based on different effective Lagrangians, constrained to a specific symmetry energy at saturation density $J$ within the interval of $30$--$36$ MeV. Nuclear binding energies and related quantities of bound nuclei are calculated between $8 \leq Z \leq 104$ from the two-proton to the two-neutron drip line. As the neutron drip line is approached, the interactions with stiffer $J$ tend to predict more bound nuclei, resulting in a systematic shift of the two-neutron drip line towards more neutron-rich nuclei. Consequentially, a correlation between the number of bound nuclei $N_{nucl}$ and $S_2(\rho)$ is established for a set of functionals constrained using the similar optimization procedures. The direction of the relationship between the number of bound nuclei and symmetry energy highly depends on the density under consideration.