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arXiv 1706.08686nucl-th
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基于剩余质子-中子相互作用对偶A核质量的描述和预测

Description and prediction of even-A nuclear masses based on residual proton-neutron interactions

B. B. Jiao

摘要:

相邻核质量的奇偶交错在计算局域质量关系和核子对关联中是非常有用的。在过去的几十年里,人们对质量关系的奇偶性以及相邻核质量中的相关量的兴趣越来越大。在这项工作中,我们选择了一个核,它的相邻核的左上角和右下角分别进行了分析。在已有的末位质子-末位中子相互作用经验定域公式($δV_{1p-1n}$)的基础上,经验地得到了一个新的偶核剩余相互作用公式($A$为质量数).然后我们计算了偶$A$核的质量。我们的计算值与AME 2012数据库之间的差异表明,均方根偏差(RMSD)很小(对于偶- $A$核:$A$ $\geq$ 42,RMSD $\approx$ 161 keV; $A$ $\geq$ 100,RMSD $\approx$ 125 keV),而对于重核,我们的一些计算值可以达到几十keV的精度。利用我们的包含一个参数的剩余相互作用公式,我们已经成功地预测了一些未知的质量。我们的一些预测值与实验值(AME 2016)比较良好。此外,我们预测的中重核质量的准确性和简单性与AME 2012(AME 2016)外推相当。

英文摘要:

The odd-even staggering of neighboring nuclear masses is very useful in calculating local mass relations and nucleon-pair correlations. During the past decades, there has been an increasing interest in the odd-even features of the mass relations and related quantities exhibited in masses of neighboring nuclei. In this work, after choosing a nucleus, we made an analysis of its neighboring nuclei on the upper left corner and the lower right corner respectively. We empirically obtained a new residual interaction formula of even-$A$ ($A$ is the mass number) nuclei, and it is an revision based on the existing empirical local formula of the proton-neutron interactions between the last proton and the last neutron ($δV_{1p-1n}$). We then calculated the even-$A$ nuclear masses. The differences between our calculated values and the AME2012 database show that the root-mean-squared deviations (RMSD) are small (for even-$A$ nuclei: $A$ $\geq$ 42, RMSD $\approx$ 161 keV; $A$ $\geq$ 100, RMSD $\approx$ 125 keV), while for heavy nuclei, some of our calculated values can reach an accuracy of a few tens of keV. With our residual interaction formula including one parameter, we have successfully predicted some unknown masses. Some of our predicted values compared well with the experimental values (AME2016). In addition, the accuracy and simplicity of our predicted masses for medium and heavy nuclei are comparable to those of the AME2012 (AME2016) extrapolations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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