arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1707.08765nucl-th
收藏

核多体计算的新单粒子基

A new single-particle basis for nuclear many-body calculations

Giovanni Puddu

备注：
27 pages 6 figures
发表信息：
J. Phys. G: Nucl. Part. Phys. 44 105104(2017)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

主要是，谐振子单粒子波函数是从头算核多体计算的基础。这些波函数，虽然非常方便，以评估在实验室框架中的相互作用的矩阵元素，有一个太快的下降在大的距离。在过去，在替代谐振子，其他单粒子波函数已被提出。在这项工作中，我们提出了一个新的单粒子基础，直接连接到核子核子相互作用。这个新的基础是正交的和完整的，有适当的渐近行为，在大的距离，不包含连续，这将造成严重的收敛问题，在核多体计算。我们考虑新提出的NNLO-最优核子-核子相互作用，没有任何重整化。我们发现，与其他基础，这种单粒子表示具有类似的计算成本的谐振子基具有相同的空间截断，它给出了较低的能量为${}^6He$和${}^6Li$。

英文摘要：

Predominantly, harmonic oscillator single-particle wave functions are the choice as a basis in ab-initio nuclear many-body calculations. These wave-functions, although very convenient in order to evaluate the matrix elements of the interaction in the laboratory frame, have a too fast fall-off at large distances. In the past, in alternative to the harmonic oscillator, other single-particle wave functions have been proposed. In this work we propose a new single-particle basis, directly linked to the nucleon-nucleon interaction. This new basis is orthonormal and complete, has the proper asymptotic behavior at large distances and does not contain the continuum which would pose severe convergence problems in nuclear many body calculations. We consider the newly proposed NNLO-opt nucleon-nucleon interaction, without any renormalization. We show that unlike other basis, this single-particle representation has a computational cost similar to the harmonic oscillator basis with the same space truncation and it gives lower energies for ${}^6He$ and ${}^6Li$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑