原子核质量模型的检验

李涛; 黎春青; 周厚兵; 王宁

doi:10.7498/aps.70.20201734

原子核质量模型的检验

doi: 10.7498/aps.70.20201734

李涛^{1, 2, ,},
黎春青¹,
周厚兵^{1, 2},
王宁^{1, 2}

详细信息

通讯作者:
E-mail: litao@gxnu.edu.cn

中图分类号: 21.10.Dr, 21.60.-n, 21.90.+f
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出版历程
- 收稿日期: 2020-10-19
- 修回日期: 2020-12-30
- 网络出版日期: 2021-05-27
- 发布日期: 2021-05-27

Test of nuclear mass models

Li Tao^{1, 2
, ,},
Li Chun-Qing¹,
Zhou Hou-Bing^{1, 2},
Wang Ning^{1, 2}

More Information

Corresponding author: Li Tao, E-mail: litao@gxnu.edu.cn

摘要

摘要: 基于AME2016发布的基态原子核质量数据, 分别从模型的精度及实验预言的中子新幻数两方面系统比较分析了八个普适核质量模型的可靠性及预言能力. 分区系统的计算了八个核质量模型预言的核质量均方根偏差, 分析发现对现有实验数据精确度较好的是Bhagwat和WS4两个模型. 通过分析中子壳能隙随中子数的变化趋势发现KTUY, WS3和WS4三个模型可以较好地再现中子新幻数N = 32引起的突变行为, 预言了在Cl和Ar同位素链中N = 32极有可能是新的幻数. 通过分析超重区域α衰变能随中子数的变化趋势发现FRDM12, WS3和WS4三个模型均可以较好地再现N = 152, 162的子壳现象, 且预言了对于质子数Z = 108—114同位素链在N = 184处原子核的寿命相对较长.
- 原子核质量模型 /
- 均方根偏差 /
- 新幻数
Abstract: The reliability and prediction ability of 8 global nuclear mass models is systematically analyzed in terms of the accuracy of the model and the new neutron magic number predicted by experiments based on the ground-state nuclear mass data from AME2016. The root-mean-square (RMS) deviations of nuclear mass predicted by 8 nuclear mass models are calculated by subregion, and find that the Bhagwat and WS4 models possess better accuracy to describe the existing experimental data. By analyzing the trend of the neutron shell energy gap varying with neutron number, it is found that the KTUY, WS3 and WS4 models can well represent the mutation behavior caused by the new magic number N = 32, and it is predicted that N = 32 is likely to be a new magic number in the Cl isotope chain and Ar isotope chain. By analyzing the variation trend of α decay energy in the superheavy region, it is found that the FRDM12, WS3 and WS4 models can reproduce the phenomena of subshell with N = 152 and N = 162 well, and predict the relatively long life of nuclei at the neutron number N = 184 for the isotope chain with proton number Z = 108—114. The comprehensive analysis shows that the mass model with good accuracy cannot reproduce shell evolution behavior. For example, the Bhagwat model has the same accuracy as the WS4 model, but it cannot reproduce the mutation behavior of the new magic number N = 32, 152 and 162. But the KTUY model and FRDM12 model can reproduce the new magic number behavior of N = 32, 152 and 162, respectively, although the RMS deviation is slightly larger. The RMS deviation of WS4 model is small and can describe the shell evolution behavior in the nuclear mass well.
- nuclear mass model /
- root-mean-square deviation /
- new magic number

HTML全文

图 1 八个核质量模型对轻核(8 ≤ Z < 28)、中等-I(28 ≤ Z < 50)、中等-II(50 ≤ Z < 82)、重核(82 ≤ Z < 100)以及超重( Z ≥ 100>)五个区域质量描述的均方根偏差

Figure 1. Root-mean-square deviations of the mass of light (8 ≤ Z < 28), medium-I (28 ≤ Z < 50), medium-II (50 ≤ Z < 82), heavy (82 ≤ Z < 100), and super-heavy ( Z ≥ 100) are calculated by the 8 nuclear mass models.

下载: 全尺寸图片幻灯片

图 2 八个核质量模型的理论值与实验值的均方根偏差随ε的变化趋势

Figure 2. Root-mean-square deviation between the predictions of the 8 nuclear mass models and the experimental values varies with the ε.

下载: 全尺寸图片幻灯片

图 3 K, Ca, Sc, Ti和V同位素链的中子壳能隙随中子数的变化趋势

Figure 3. Variation trend of neutron shell gaps in K, Ca, Sc, Ti and V isotope chains with neutron number.

下载: 全尺寸图片幻灯片

图 4 八个核质量模型计算的K, Ca, Sc, Ti和V同位素链的中子壳能隙随中子数的变化趋势

Figure 4. Neutron shell gaps of K, Ca, Sc, Ti and V isotopic chains calculated by 8 nuclear mass models vary with the neutron number

下载: 全尺寸图片幻灯片

图 5 Cl和Ar同位素链中子壳能隙随中子数的变化趋势, 竖线表示误差

Figure 5. Variation trend of neutron shell gaps of Cl and Ar isotope chains with neutron number, the vertical bar represents the error.

下载: 全尺寸图片幻灯片

图 6 质子数 $ Z=100-110 $ 为偶数同位素链的α衰变能随中子数的变化趋势

Figure 6. Alpha decay energy of even isotope chains for the proton number $ Z=100-110 $ vary with the neutron number.

下载: 全尺寸图片幻灯片

图 7 八个核质量模型计算的质子数 $ Z=100-110 $ 为偶数同位素链的α衰变能随中子数的变化趋势

Figure 7. Alpha decay energy of even isotope chains for the proton number Z = 100-110 calculated by 8 nuclear mass models vary with the neutron number.

下载: 全尺寸图片幻灯片

图 8 FRDM12和WS4模型计算的质子数 $Z=112- $ $ 124$ 为偶数同位素链的α衰变能随中子数的变化趋势, 竖线表示误差

Figure 8. Alpha decay energy of even isotope chains for the proton number Z = 100–110 calculated by the FRDM12 and WS4 models vary with the neutron number, the vertical bar represents the error.

下载: 全尺寸图片幻灯片

表 1 八个核质量模型的基态质量、单中子分离能、单质子分离能、双中子分离能及双质子分离能的均方根偏差

Table 1. Root-mean-square deviations of the ground state mass, single-neutron separation energy, single-proton separation energy, two-neutron separation energy and two-proton separation energy of the 8 nuclear mass models.

模型	M/MeV	S_n/MeV	S_p/MeV	S_2n/MeV	S_2p/MeV
KTUY	0.724	0.306	0.367	0.383	0.527
FRDM12	0.599	0.351	0.368	0.455	0.469
HFB27	0.517	0.424	0.446	0.423	0.464
DZ31	0.422	0.290	0.307	0.342	0.379
INM12	0.381	0.372	0.369	0.375	0.386
WS3	0.343	0.274	0.302	0.296	0.358
WS4	0.302	0.260	0.278	0.276	0.326
Bhagwat	0.301	0.282	0.296	0.306	0.329

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