标题： 评估核质量模型对超重元素合成截面预测的影响 显示英文标题

标题： Assessing the Impact of Nuclear Mass Models on the Prediction of Synthesis Cross Sections for Superheavy Elements

摘要： 在双核系统模型的框架下，本研究深入探讨了各种核质量模型对评估超重核融合概率的影响。 核质量模型作为DNS模型的关键输入，其结合能、四极形变和外推能力存在细微差异；这些细微差别可能显著影响模型的结果。 具体而言，研究发现核质量在确定融合概率和Q值方面起着关键作用。 通过数值求解一组主方程，本研究考察了不同质量模型的结合能如何影响碰撞核的融合概率，以$^{48}$Ca + $^{243}$Am $\rightarrow$ $^{291}$ Mc 为例。 对势能面（PES）的仔细分析表明，内融合势垒会导致融合概率的变化。 重要的是，研究证明使用不同核质量模型计算的超重核合成截面与实验数据吻合良好，误差范围在一个数量级之内。 这一发现强调了我们模型预测的可靠性。 展望未来，本研究利用五种不同的核质量模型预测了超重元素119和120的合成截面及其相关不确定性。 这些预测为合成这些难以捉摸的元素的可行性提供了宝贵的见解，并为未来的实验探索铺平了道路。 显示英文摘要

摘要： Within the framework of the dinuclear system model, this study delves into the impact of various nuclear mass models on evaluating the fusion probability of superheavy nuclei. Nuclear mass models, as crucial inputs to the DNS model, exhibit slight variations in binding energy, quadrupole deformation, and extrapolation ability; these subtle differences can significantly influence the model's outcomes. Specifically, the study finds that nuclear mass plays a pivotal role in determining fusion probability, and Q-value. By numerically solving a set of master equations, the study examines how binding energies from different mass models affect the fusion probability of colliding nuclei, taking the example of $^{48}$Ca + $^{243}$Am $\rightarrow$ $^{291}$Mc. A careful analysis of the potential energy surface (PES) reveals that the inner fusion barriers lead to variations in fusion probabilities. Importantly, the study demonstrates that the synthesis cross sections of superheavy nuclei calculated using different nuclear mass models align well with experimental data, falling within an error range of one order of magnitude. This finding underscores the reliability of our model predictions. Looking ahead, the study utilizes five distinct nuclear mass models to predict the synthesis cross sections of superheavy elements 119 and 120, along with their associated uncertainties. These predictions offer valuable insights into the feasibility of synthesizing these elusive elements and pave the way for future experimental explorations.