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arXiv 1902.01256nucl-thastro-ph.SRnucl-ex
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格点哈密顿Vlasov方法中的核集体动力学

Nuclear collective dynamics in the lattice Hamiltonian Vlasov method

Rui Wang, Lie-Wen Chen, Zhen Zhang

摘要:

基于Skyrme赝势,发展了求解核平均场Vlasov方程的格点哈密顿方法,直至次首阶。原子核的基态是通过改变原子核的总能量随核子密度分布的变化而得到的。由于格点哈密顿方法中对初始核基态的自洽处理和精确的能量守恒,该框架求解Vlasov方程显示出非常稳定的核基态演化。作为新的格点哈密顿Vlasov方法的首次应用,我们研究了有限核的等标量巨偶极模和等矢量巨偶极模。计算结果与无规相近似计算结果相当,且与实验数据一致,表明该方法能够处理长时间近平衡核动力学问题.

英文摘要:

The lattice Hamiltonian method is developed for solving the Vlasov equation with nuclear mean-field based on the Skyrme pseudopotential up to next-to-next-to-next-to leading order. The ground states of nuclei are obtained through varying the total energy with respect to the density distribution of nucleons. Owing to the self-consistent treatment of initial nuclear ground state and the exact energy conservation in the lattice Hamiltonian method, the present framework of solving the Vlasov equation exhibits very stable nuclear ground state evolution. As a first application of the new lattice Hamiltonian Vlasov method, we explore the iso-scalar giant monopole and iso-vector giant dipole modes of finite nuclei. The obtained results are shown to be comparable to that from random-phase approximation and consistent with the experimental data, indicating the capability of the present method in dealing with the long-time near-equilibrium nuclear dynamics.

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