金的形状
The shape of gold
AI总结:
本文利用多参考能量密度泛函计算研究$^{197}$Au的低能结构,得到基态平均形变并构建其内禀形状,为超相对论金离子对撞模拟提供微观输入。
摘要:
对重奇质量核$^{197}$Au的低能结构具备详细的理论知识具有首要意义,因为该同位素的结构是全世界在相对论能量下开展的金离子对撞机实验理论模拟的重要输入。因此,在本文中,我们报告了通过最先进的多参考能量密度泛函(MR-EDF)计算获得的$^{197}$Au结构的新结果。我们的MR-EDF计算使用Skyrme型赝势SLyMR1实现,并以生成坐标方法(GCM)的精神,通过混合粒子数投影和角动量投影的三轴形变Bogoliubov准粒子态,包含了超越平均场的关联。与实验数据的比较表明,该模型对$^{197}$Au给出了合理的描述,特别是对$3/2_1^+$基态的大部分谱学性质有良好的一致性。从关联态的集体波函数出发,我们计算得到基态的平均形变$\barβ(3/2_1^+)=0.13$和$\barγ(3/2_1^+)=40^\circ$。我们利用这一结果构建了$^{197}$Au的内禀形状,为相关对撞过程的精确模拟提供了微观动机的输入。我们特别讨论了三轴形变预期如何影响超相对论能量下的$^{197}$Au+$^{197}$Au对撞实验。
英文摘要:
Having a detailed theoretical knowledge of the low-energy structure of the heavy odd-mass nucleus $^{197}$Au is of prime interest as the structure of this isotope represents an important input to theoretical simulations of collider experiments involving gold ions performed worldwide at relativistic energies. In the present article, therefore, we report on new results on the structure of $^{197}$Au obtained from state-of-the-art multi-reference energy density functional (MR-EDF) calculations. Our MR-EDF calculations were realized using the Skyrme-type pseudo-potential SLyMR1, and include beyond mean-field correlations through the mixing, in the spirit of the Generator Coordinate Method (GCM), of particle-number and angular-momentum projected triaxially deformed Bogoliubov quasi-particle states. Comparison with experimental data shows that the model gives a reasonable description of $^{197}$Au with in particular a good agreement for most of the spectroscopic properties of the $3/2_1^+$ ground state. From the collective wave function of the correlated state, we compute an average deformation $\barβ(3/2_1^+)=0.13$ and $\barγ(3/2_1^+)=40^\circ$ for the ground state. We use this result to construct an intrinsic shape of $^{197}$Au representing a microscopically-motivated input for precision simulations of the associated collider processes. We discuss, in particular, how the triaxiality of this nucleus is expected to impact $^{197}$Au+$^{197}$Au collision experiments at ultrarelativistic energy.
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