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arXiv 2004.01701nucl-th
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评论Eur.物理学杂志(2019)55:150

Comment on the paper Eur. Phys. J. A (2019) 55:150

C. Gonzalez-Boquera, M. Centelles, X. Viñas L. M. Robledo

摘要:

该研究的结论发表在Eur。Phys. J. A(2019)55:150质疑最近提出的Gogny D1M* 相互作用对于使用谐振子(HO)基础的有限核计算的充分性。当用坐标空间方法求解HF方程时,D1M* 有限核中存在不稳定性(如Eur. Phys. J. A(2019)55:150)使用基于对具有有限范围力的HF能量密度的准局部近似(QLA)的计算机代码独立地确认。我们确认,在坐标空间计算中最受影响的量是在原点的空间密度。我们的研究表明,这些不稳定性的一些发现是不容易调和的参数在欧洲。Phys. J. A(2019)55:150.例如,某些原子核,如$^4$ He和$^{40}$ Ca,在用D1M* 进行的HF网格点计算中发散,当库仑力关闭时,变得完全稳定。我们还发现,当使用D1M相互作用时,在某些核中存在不稳定性。最后,观察到费米能级附近的$s$轨道的占有率和不稳定性的出现之间的联系。对不同尺寸和振子参数的HO基进行了收敛性和稳定性研究,以证明当使用HO基时,有限核的D1M* 结果的鲁棒性。

英文摘要:

The conclusions of the study published as Eur. Phys. J. A (2019) 55:150 questioning the adequacy of the recently proposed Gogny D1M* interaction for finite-nuclei calculations using harmonic oscillator (HO) basis are revised. The existence of an instability in finite nuclei for D1M* when coordinate-space methods are used to solve the HF equations (as shown in Eur. Phys. J. A(2019) 55:150) is independently confirmed using a computer code based on a quasi-local approximation (QLA) to the HF energy density with finite-range forces. We confirm that the most affected quantity in the coordinate-space calculation is the spatial density at the origin. Our study reveals that some findings concerning these instabilities are not easy to reconcile with the arguments used in Eur. Phys. J. A (2019) 55:150. For instance, some nuclei such as $^4$He and $^{40}$Ca, which diverge in HF mesh-point calculations performed with D1M*, become perfectly stable when Coulomb force is switched off. We have also found instabilities in some nuclei when the D1M interaction is used. Finally, a connection between the occupancy of $s$-orbitals near the Fermi level and the appearance of instabilities is observed. Several convergence and stability studies are performed with HO basis of different sizes and oscillator parameters to demonstrate the robustness of the D1M* results for finite nuclei when the HO basis is used.

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