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arXiv 1901.05552nucl-thnucl-ex
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利用原子核基态和集体激发性质优化相对论能量密度泛函

Optimizing the relativistic energy density functional with nuclear ground state and collective excitation properties

E. Yuksel, T. Marketin, N. Paar

备注：
6 pages, 3 figures, submitted to Physical Review C
发表信息：
Phys. Rev. C 99, 034318 (2019)
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摘要：

我们引入了一个新的受原子核基态性质以及$^{208}$ Pb中等标巨单极共振能和偶极极化率约束的相对论性能量密度泛函。建立了相对论性Hartree-Bogoliubov模型和基于相对论性密度依赖点耦合相互作用的无规相位近似的统一框架，以确定由$χ^2$最小化的DD-PCX参数化.这个过程是补充协方差分析，以估计模型参数和观测量的统计不确定性。有效相互作用DD-PCX精确地描述了核的基态性质，包括中子皮厚度、等垒巨共振激发能和偶极极化率.核激发的实验数据的实施允许约束的对称性能量接近饱和密度，和不可压缩性的核物质通过使用真正的可观测的有限核的$χ^2$最小化协议，而不是使用伪可观测的核物质，或通过依赖于基态属性，因为它已经习惯于在以前的研究。

英文摘要：

We introduce a new relativistic energy density functional constrained by the ground state properties of atomic nuclei along with the isoscalar giant monopole resonance energy and dipole polarizability in $^{208}$Pb. A unified framework of the relativistic Hartree-Bogoliubov model and random phase approximation based on the relativistic density-dependent point coupling interaction is established in order to determine the DD-PCX parameterization by $χ^2$ minimization. This procedure is supplemented with the co-variance analysis in order to estimate statistical uncertainties in the model parameters and observables. The effective interaction DD-PCX accurately describes the nuclear ground state properties including the neutron-skin thickness, as well as the isoscalar giant monopole resonance excitation energies and dipole polarizabilities. The implementation of the experimental data on nuclear excitations allows constraining the symmetry energy close to the saturation density, and the incompressibility of nuclear matter by using genuine observables on finite nuclei in the $χ^2$ minimization protocol, rather than using pseudo-observables on the nuclear matter, or by relying on the ground state properties only, as it has been customary in the previous studies.

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