论文标题

关于连续体的相对论Hartree-Bogoliubov理论的有限幅度方法:等异形核中的等构巨型单子共振

Finite amplitude method on the deformed relativistic Hartree-Bogoliubov theory in continuum: The isoscalar giant monopole resonance in exotic nuclei

论文作者

Sun, Xuwei, Meng, Jie

论文摘要

基于Continuum(DRHBC-FAM)中的相对论性Hartree-Bogoliubov理论的有限幅度方法是开发并应用于外来核中等效巨型单极共振的。 $^{208} \ textrm {pb} $检查了数值实现的验证。从$^{40} \ textrm {Ca} $到最后一个富含中子的中子核$^{80} \ textrm {ca} $的均匀钙同位素的均匀同位素共振的共振,并获得了可用的实验中心的textroid Entergies $^$^40-4-44-4444-444-44-44的ca {40-4-4-44-44-44-44 {40-4-4-4-4-4-4-4-4是$ For the exotic calcium isotopes, e.g., $^{68}\textrm{Ca}$ and $^{80}\textrm{Ca}$, the DRHBc-FAM calculated results are closer to the energy weighted sum rule than the calculations on the harmonic oscillator basis, which highlights the advantages of DRHBc-FAM in describing giant resonances for exotic nuclei.为了探索外来核中的软单极模式,研究了巨大的单子共振,用于研究变形的奇异核$^{200} \ textrm {nd} $,其中呈现形状和扁平形状。在pr齐的情况下发现了6.0 MEV附近的软单子模式,在扁圆盒中发现了另一个接近4.5 MEV的模式。软单极模式的过渡密度在表面区域附近的相位或相外振动中显示,这是由四极振动产生的。

Finite amplitude method based on the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc-FAM) is developed and applied to study isoscalar giant monopole resonance in exotic nuclei. Validation of the numerical implementation is examined for $^{208}\textrm{Pb}$. The isoscalar giant monopole resonances for even-even calcium isotopes from $^{40}\textrm{Ca}$ to the last bound neutron-rich nucleus $^{80}\textrm{Ca}$ are calculated, and a good agreement with the available experimental centroid energies is obtained for $^{40-48}\textrm{Ca}$. For the exotic calcium isotopes, e.g., $^{68}\textrm{Ca}$ and $^{80}\textrm{Ca}$, the DRHBc-FAM calculated results are closer to the energy weighted sum rule than the calculations on the harmonic oscillator basis, which highlights the advantages of DRHBc-FAM in describing giant resonances for exotic nuclei. In order to explore the soft monopole mode in the exotic nuclei, the giant monopole resonance for the deformed exotic nucleus $^{200}\textrm{Nd}$ is investigated, where the prolate shape and the oblate shape coexist. A soft monopole mode near 6.0 MeV is found in the prolate case, and another one near 4.5 MeV is found in the oblate case. The transition density of the soft monopole mode shows in phase or out-of-phase vibrations near the surface region, which is generated by quadrupole vibrations.

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