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arXiv 1508.06294nucl-th
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核基态质量和形变:FRDM(2012)

Nuclear ground-state masses and deformations: FRDM(2012)

P. Moller, A. J. Sierk, T. Ichikawa, H. Sagawa

摘要:

我们列出了从$^{16}$ O到$A=339$的9318个核的原子质量过剩和结合能、基态壳层加配对修正、基态微观修正和核基态形变。计算是基于有限范围液滴宏观模型和折叠汤川单粒子微观模型。相对于我们在{ \sc Atomic Data and Nuclear Data Tables} [{ \bf 59} 185(1995)]中的FRDM(1992)质量表,结果是在相同的模型中得到的,但由于计算机能力的限制,变形处理得到了相当大的改进,而且以前所需的近似也减少了。更准确地执行的模型和更广泛和更准确的实验质量数据库,现在可以让我们来确定一个额外的宏观模型参数,密度对称系数$L$,这是没有变化,在以前的计算,但设置为零。因为我们现在认识到,FRDM对于裂变中发生的一些高度变形的形状是不准确的,因为一些效应是根据围绕球体的微扰导出的,所以我们只将其宏观参数调整为基态质量。10个常数的值是直接从一个优化来确定的,以拟合从$^{16}$ 0到$^{265}_{106}$ Sg和$^{264}_{108}$ Hs的2149个核的基态质量。质量模型的误差为0.5595 MeV。我们还提供了FRLDM中的质量,在更精确的处理中,现在的误差为0.6618 MeV。但与FRDM不同的是,它适合于裂变的研究,并已被广泛应用于其他地方,FRLDM(2002)常数。FRLDM(2012)拟合了从$^{70}$ Se到$^{252}$ Cf的31个裂变势垒高度,均方根偏差为1.052 MeV。

英文摘要:

We tabulate the atomic mass excesses and binding energies, ground-state shell-plus-pairing corrections, ground-state microscopic corrections, and nuclear ground-state deformations of 9318 nuclei ranging from $^{16}$O to $A=339$. The calculations are based on the finite-range droplet macroscopic model and the folded-Yukawa single-particle microscopic model. Relative to our FRDM(1992) mass table in {\sc Atomic Data and Nuclear Data Tables} [{\bf 59} 185 (1995)], the results are obtained in the same model, but with considerably improved treatment of deformation and fewer of the approximations that were necessary earlier, due to limitations in computer power. The more accurate execution of the model and the more extensive and more accurate experimental mass data base now available allows us to determine one additional macroscopic-model parameter, the density-symmetry coefficient $L$, which was not varied in the previous calculation, but set to zero. Because we now realize that the FRDM is inaccurate for some highly deformed shapes occurring in fission, because some effects are derived in terms of perturbations around a sphere, we only adjust its macroscopic parameters to ground-state masses. The values of ten constants are determined directly from an optimization to fit ground-state masses of 2149 nuclei ranging from $^{16}$O to $^{265}_{106}$Sg and $^{264}_{108}$Hs. The error of the mass model is 0.5595~MeV. We also provide masses in the FRLDM, which in the more accurate treatments now has an error of 0.6618 MeV. But in contrast to the FRDM, it is suitable for studies of fission and has been extensively so applied elsewhere, with FRLDM(2002) constants. The FRLDM(2012) fits 31 fission barrier heights from $^{70}$Se to $^{252}$Cf with a root-mean-square deviation of 1.052 MeV.

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