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arXiv 2001.02834nucl-thnucl-ex
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微观含时相对论密度泛函理论中链状α团簇的动力学

Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory

Z. X. Ren, P. W. Zhao, J. Meng

摘要:

发展了三维晶格空间中的含时协变密度泛函理论,并应用于研究反应$^4$ He $+^8$ Be和$^4$ He $+^{10}$ Be中碳同位素直链团簇态的微观动力学,无需任何对称性假设。通过考察团簇的密度分布及其随时间的演化,分析了线性链态的结构和动力学,揭示了团簇的准周期振荡。对于$^4$ He $+^8$ Be,线性链态演化为三角形构型,然后演化为更紧凑的形状。相比之下,对于$^4$ He $+^{10}$ Be,由于价中子的动力学同位旋效应减慢了团簇的纵向振荡并使线性链态持续存在,线性链态的寿命延长得多。线性链存活时间和动力学同位旋效应与碰撞参量的关系也得到了说明。

英文摘要:

The time-dependent covariant density functional theory in 3D lattice space has been developed and applied to investigate the microscopic dynamics of the linear-chain cluster states for carbon isotopes in the reactions $^4$He$+^8$Be and $^4$He$+^{10}$Be without any symmetry assumptions. By examining the density distribution and its time evolutions, the structure and dynamics of the linear-chain states are analyzed, and the quasiperiodic oscillations of the clusters are revealed. For $^4$He$+^8$Be, the linear-chain states evolve to a triangular configuration and then to a more compact shape. In contrast, for $^4$He$+^{10}$Be, the lifetime of the linear-chain states is much more prolonged due to the dynamical isospin effects by the valence neutrons which slow down the longitudinal oscillations of the clusters and persist the linear-chain states. The dependence of the linear chain survival time and dynamical isospin effects on impact parameters have been illustrated as well.

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