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Excitation-energy-dependent potential energy surfaces in the ternary breakup of Cf-252

机译:CF-252的三元分解中的激励 - 能量依赖性潜在能量表面

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We study the excitation energy-dependent potential-energy surfaces (PESs) for both the spherical and deformed fragments from the ternary fragmentation (TF) of Cf-252 at four different excitation energies of the fissioning parent nuclei. A two-dimensional minimization approach with respect to the charge numbers (Z(1), Z(2), and Z(3)) of the fragments has been used to minimize all possible ternary combinations, which are generated from the atomic-mass-evaluation (AME2016) data [Chin. Phys. C 41, 030003 (2017)]. To calculate the energy-dependent TF-PES, we used the temperature-dependent binding energies (TDBE), which are calculated as follows: the temperature-dependent (T-dependent) macroscopic liquid-drop model (LDM) energy proper due to Krappe's formula [Phys. Rev. C 59, 2640 (1999)] and the microscopic shell correction energies due to the analytical estimates of Myers and Swiatecki [Nucl. Phys. 81, 1 (1966)]. Furthermore, the shell correction energies and the nuclear deformations are also made T-dependent. In this study, the T-dependent total interaction potential between the ternary fragments is calculated for the fragments in a collinear geometry with the lightest fragment A(3) being in the middle of the two main fission fragments A(1) and A(2). From the TF-PES results with the use of spherical-shell corrections, a strong energy maximum in the PES is obtained around Z(3) = 2 with the Z(1) = 50 region due to the closed-shell effects of doubly magic nuclei. In addition to this, we also obtained some other significant energy maxima around the magic and/or semimagic numbers of nuclei. These energy maxima extend further with increasing excitation energy of the fissioning parent nuclei. We also found that the true-ternary-fragmentation (TTF) fragments are reasonably favored at high excitation energies. Furthermore, the effects of T-dependent deformations and the T-dependent deformed-shell corrections in the TF-PES of Cf-252 are also studied. From the TF-PES results of deformed ternary fragments, we obtained the energy maximum around Z(3) = 16 region, which may be due to the larger beta(2) deformation values. Furthermore, we also studied the ternary fragmentation yields and neutron emission from the excited fragments in the Be-10-accompanied spontaneous ternary fission of Cf-252 and compared our calculated results with the available experimental data.
机译:我们在裂变母细胞核的四种不同的激发能量下,从CF-252的三元碎片(TF)的球形和变形片段中研究激发能量依赖性电位 - 能量表面(PES)。相对于片段的电荷数(Z(1),Z(2)和Z(3))的二维最小化方法已经用于最小化从原子质量产生的所有可能的三元组合 - 评估(AME2016)数据[下巴。物理。 C 41,030003(2017)]。为了计算能量依赖的TF-PE,我们使用了温度依赖性结合能量(TDBE),其计算如下:由于Krappe的温度依赖性(T依赖性)宏观液滴模型(LDM)能量适当公式[phys。 Rev. C 59,2640(1999)]和显微壳校正能量,因为迈尔斯和Swiacecki的分析估计值[Nucl。物理。 81,1(1966)]。此外,壳体校正能量和核变形也取决于依赖性。在该研究中,针对三角形片段中的Ternary片段之间的T型依赖性总相互作用电位计算在两个主要裂变片段A(1)和A(2 )。通过使用球形壳校正的TF-PES结果,通过Z(1)= 50个区域,在Z(3)= 5左右的Z(1)= 50区域获得强的能量最大值,由于双重魔法效应核。除此之外,我们还在魔法和/或半核数上获得了一些其他重要的能量最大值。这些能量最大值进一步延伸,随着裂变母细胞核的增加。我们还发现,真正的三元碎片(TTF)片段在高励磁能量上合理青睐。此外,还研究了CF-252的TF-PE中的T依赖性变形和T依赖性变形壳校正的影响。从变形三元碎片的TF-PES结果,我们在Z(3)= 16区周围的能量最大值,这可能是由于较大的β(2)变形值。此外,我们还研究了来自CF-252的BE-10 - 伴有的自发性三元裂变中的激发片段的三元碎片产量和中子排放,并将我们的计算结果与可用的实验数据进行了比较。

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