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arXiv 1704.04748nucl-th
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测试原子核质量的Dubna唯象模型的准确性

Test the accuracy of the Dubna phenomenological model of the masses of the atomic nuclei

Strachimir Cht. Mavrodiev

摘要:

本文对描述AME 2012核数据库中2654个原子核质量测量值的Bethe-Weizsacker质量公式进行了数值推广的可靠性检验,对于质量数A=2(1,1)~ 294(117,177)的原子核,其精度在(-1.90,1.80)MeV范围内。在分析推广的Bethe-Weizsacker公式中,作为非线性反演问题(Ivanenko壳层模型)的解,导出了质子和中子幻数的小修正及其影响范围。证实了10个质子幻数(2,8,14,20,28,50,82,96,108,126)和11个中子幻数(2,8,14,20,28,50,82,126,142,152,184)的存在。通过分析来自核素基态的新数据进行测试:https://www-nds.iaea.org/relnsd/NdsEnsdf/QueryForm.html,其中包含A=2(1,1)至294(118,176)的3182个数据,并确认了质子和中子幻数的上述值。质量描述精度在(-2.80,1.80)MeV范围内。只有14个核质量大于1.90 MeV的剩余能量。

英文摘要:

In this paper is presented the reliability test the numerical generalization of Bethe-Weizsacker mass formula which describes the values of measured 2654 nuclei masses in AME2012 nuclear database: https://www-nds.iaea.org/amdc/, with accuracy in the interval (-1.90,1.80) MeV, for the nulear with mass number A=2(1,1) to 294(117,177). In the analyzed generalization of the Bethe-Weizsacker formula the little correction of proton and neutron magic numbers and boundaries of their influence was derived as a solution of nonlinear inverce problem (Ivanenko shell model!). There was confirmed the existence of ten proton (2,8,14,20,28,50,82,96,108,126) and eleven neutron (2,8,14,20,28,50,82,126,142,152,184) magic numbers. The test was performed analyzing the new data from Nuclide ground states: https://www-nds.iaea.org/relnsd/NdsEnsdf/QueryForm.html, containing 3182 data for A=2(1,1) to 294(118,176) and confirmed the above values of proton and neutron magic numbers. The accuracy of masses description is in the interval (-2.80,1.80) MeV. Only fourteen nuclear masses have bigger than 1.90 MeV residual.

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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