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arXiv 2007.05126nucl-thnucl-ex
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三维格点空间含时协变密度泛函理论:16 O +16 O反应的基准计算

Time-dependent covariant density functional theory in 3D lattice space: benchmark calculation for 16O + 16O reaction

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

摘要:

在不受对称性限制的三维坐标空间中发展了含时协变的密度泛函理论,并对16 O +16 O反应进行了系统的基准计算.的相对论运动学,动量守恒定律,总能量,粒子数,以及时间反演不变性进行了检查,并确认满足数值。两个主要的应用,包括耗散动力学和势垒以上的融合截面示出。所得结果与非相对论含时密度泛函理论和已有的实验数据符合得很好。这表明新发展的含时协变密度泛函理论可以作为研究核动力学过程的有效方法。

英文摘要:

Time-dependent covariant density functional theory with the successful density functional PCPK1 is developed in a three-dimensional coordinate space without any symmetry restrictions, and benchmark calculations for the 16O + 16O reaction are performed systematically. The relativistic kinematics, the conservation laws of the momentum, total energy, and particle number, as well as the time-reversal invariance are examined and confirmed to be satisfied numerically. Two primary applications including the dissipation dynamics and above-barrier fusion cross sections are illustrated. The obtained results are in good agreement with the ones given by the nonrelativistic time-dependent density functional theory and the data available. This demonstrates that the newly developed time-dependent covariant density functional theory could serve as an effective approach for the future studies of nuclear dynamical processes.

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