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arXiv 1104.0066nucl-thnucl-ex
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对一个整体核质量模型的进一步改进

Further improvements on a global nuclear mass model

Min Liu, Ning Wang, Yangge Deng, Xizhen Wu

摘要:

通过引入一些残余修正,对半经验宏微观质量公式作了进一步改进。与2149个已知核质量的均方根偏差显著降低到336 keV,甚至低于最好的Duflo-Zuker模型。该模型能很好地再现超重核α衰变能量、Garvey-Kelson关系式和等压多重态质量方程(IMME),具有较好的预测能力.通过对17个全球核质量模型的系统研究,我们发现,当Garvey-Kelson关系式再现得较好时,IMME的二次形式与核质量计算的准确性密切相关。同时满足IMME和Garvey-Kelson关系式是提高模型预测质量的两个必要条件。此外,超重核的α衰变能应作为对整体核质量模型的附加约束。

英文摘要:

The semi-empirical macroscopic-microscopic mass formula is further improved by considering some residual corrections. The rms deviation from 2149 known nuclear masses is significantly reduced to 336 keV, even lower than that achieved with the best of the Duflo-Zuker models. The alpha-decay energies of super-heavy nuclei, the Garvey-Kelson relations and the isobaric multiplet mass equation (IMME) can be reproduced remarkably well with the model, and the predictive power of the mass model is good. With a systematic study of 17 global nuclear mass models, we find that the quadratic form of the IMME is closely related to the accuracy of nuclear mass calculations when the Garvey-Kelson relations are reproduced reasonably well. Fulfilling both the IMME and the Garvey-Kelson relations seems to be two necessary conditions to improve the quality of the model prediction. Furthermore, the alpha-decay energies of super-heavy nuclei should be used as an additional constraint on the global nuclear mass models.

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