从binding energy原子核结构差异中可以学到什么:以δ V_{pn}为例
What can be learned from binding energy differences about nuclear structure: the example of delta V_{pn}
摘要:
在一个真实核模型的框架下,我们分析了一个称为δ V_{pn}(N,Z)=- 1/4(E(Z,N)-E(Z,N-2)-E(Z-2,N)+ E(Z-2,N-2)的结合能差.利用角动量和粒子数投影生成坐标方法和Skyrme相互作用SLy 4,分析了平均场基态附近的静态形变和动态涨落对δ V_{pn}的贡献.我们的方法给出了一个很好的整体描述的增量V_{pn}整个图表的核与异常的维格纳能量沿N=Z线。分析的主要结论是:(1)δ V_{pn}在整个原子核图中的系统学结构,可以结合由形变和集体涨落引起的对称能和相关能的光滑背景来容易地解释;(ii)围绕双魔核的δ V_{pn}的特征模式是δ V_{pn}的不对称定义的一个微不足道的结果,δ V_{pn}不能提供结构变化的可靠指标;(iv)δ V_{pn}不能提供核EDF中质子-中子相互作用的可靠量度,既不能提供最后填充轨道之间的量度,也不能提供所有轨道之和的量度;(v)delta V_{pn}并不提供优于或补充于其他质量过滤器(例如双核子分离能量或Q值)的核EDF方法的决定性基准。
英文摘要:
We perform an analysis of a binding energy difference called delta V_{pn}(N,Z) =- 1/4(E(Z,N)-E(Z,N-2)-E(Z-2,N)+ E(Z-2,N-2) in the framework of a realistic nuclear model. Using the angular-momentum and particle-number projected generator coordinate method and the Skyrme interaction SLy4, we analyze the contribution brought to delta V_{pn} by static deformation and dynamic fluctuations around the mean-field ground state. Our method gives a good overall description of delta V_{pn} throughout the chart of nuclei with the exception of the anomaly related to the Wigner energy along the N=Z line. The main conclusions of our analysis are that (i) the structures seen in the systematics of delta V_{pn} throughout the chart of nuclei can be easily explained combining a smooth background related to the symmetry energy and correlation energies due to deformation and collective fluctuations; (ii) the characteristic pattern of delta V_{pn} around a doubly-magic nucleus is a trivial consequence of the asymmetric definition of delta V_{pn}, and not due to a the different structure of these nuclei; (iii) delta V_{pn} does not provide a very reliable indicator for structural changes; (iv) δV_{pn} does not provide a reliable measure of the proton-neutron interaction in the nuclear EDF, neither of that between the last filled orbits, nor of the one summed over all orbits; (v) delta V_{pn} does not provide a conclusive benchmark for nuclear EDF methods that is superior or complementary to other mass filters such as two-nucleon separation energies or Q values.
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