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Weizsaecker-Skyrme-type nuclear mass formula incorporating two combinatorial radial basis function prescriptions and their application

机译：WeizSaecker-Skyrme型核心配方包含两个组合径向基函数处方及其应用

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摘要

Within the improved Weizsaecker-Skyrme (WS)-type nuclear mass formulas, we systematically calculated one-nucleon and two-nucleon separated energy, α-decay and β-decay energies, and the odd-even staggering (OES) of nuclear binding energies. As a result, the root-mean-square (rms) deviations of 2267 nuclei within the new improved WS-type mass formula are dropped from 493 to 167 keV, where 2267 nuclei are extracted from the atomic mass evaluation of 2012. Simultaneously, all the rms deviations of one- nucleon and two-nucleon separation energies and decay energies Q_α, Q_(β~−) , Q_(β~+), and Q_(EC) for more than 3000 nuclei are cut down by about 100–400 keV. Further, some basic physical observations of 988 boundary nuclei are predicted for providing reference to experiments. Finally, the overall neutron OESs and proton OESs have been systemically investigated and the residual error satisfies a normal distribution. The pairing gaps △_n and △_p of the isotopes of O, Ca, Ni, Zr, Sn, Gd, Qs, Pb, Pa, Ds and the isotonic magic chains of N = 28,50,82,126 and even-even nuclei are also studied with dramatic improvements obtained. Especially, the rms of △_n and △_p in these nuclei have been reduced by about 200 keV. The above physical quantities show important information for nuclear charts and the features of nuclear structure.
机译：在改进的WeizSaecker-Skyrme（WS）型核心配方中，我们系统地计算了单核和双核分离能量，α-衰减和β-衰减能量，以及核绑定能量的奇数甚至交错（OES） 。结果，在新改进的WS型质量配方内的2267个核的根平均方形（RMS）偏差从493℃下降到167 keV，其中从2012年的原子质量评估中提取2267个核。同时，所有单核和双核分离能量和衰减能量Q_α，Q_（β〜 - ），Q_（β〜+）和Q_（eC）的RMS偏差被减少约100-400核凯夫。此外，预测了988个边界核的一些基本物理观察，以提供对实验的参考。最后，整个中子袜子和质子袜已经全系统研究，并且残余误差满足正态分布。 o，ca，ni，zr，​​sn，gd，qs，pb，pa，ds和等渗魔链的同位素的配对间隙△_n和△_p是n = 28,50,82,126甚至核心的还通过获得了戏剧性的改进来研究。特别是，这些核中的△_n和△_p的rms已减少约200kev。上述物理数量显示了核图表的重要信息和核结构的特征。

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  • 来源
    《Physical Review C》 |2017年第2017期|024302.1-024302.21|共21页
  • 作者

    Na Na Ma; Hai Fei Zhang; Peng Yin; Xiao Jun Bao; Hong Fei Zhang;

  • 作者单位

    School of Nuclear Science and Technology Lanzhou University 730000 Lanzhou China;

    Northwest Institute of Nuclear Technology Xi’an 710024 People’s Republic of China;

    Institute of Modern Physics Chinese Academy of Science 730000 Lanzhou People’s Republic of China;

    Department of Physics Collaborative Innovation Center for Quantum Effects and Key Laboratory of Low Dimensional Quantum Structuresand Quantum Control of Ministry of Education Hunan Normal University Changsha 410081 People’s Republic of China;

    School of Nuclear Science and Technology Lanzhou University 730000 Lanzhou China;

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