论文标题

$ {}^6 $ li基态的计算在超谐谐波基础上

Calculation of the ${}^6$Li ground state within the hyperspherical harmonic basis

论文作者

Gnech, Alex, Viviani, Michele, Marcucci, Laura Elisa

论文摘要

我们已经使用超球形谐波(HH)方法研究了六核子结合状态问题的解决方案。在这项研究中,我们仅考虑了两体核力量。特别是,我们使用的手性核能随着相似性重新归一化组的单一转化而演变而成。通过对不同HH类的收敛进行仔细分析,选择了受限制的基础。最后,计算$ {}^6 $ li基态的结合能和其他属性,并将其与其他技术获得的结果进行了比较。然后,我们提出与涉及$ {}^6 $ li的直接暗物质搜索相关的矩阵元素的计算。获得的结果证明了使用HH方法执行超过$ a = 4 $的计算的可行性。

We have studied the solution of the six-nucleon bound state problem using the hyperspherical harmonic (HH) approach. For this study we have considered only two-body nuclear forces. In particular we have used a chiral nuclear potential evolved with the similarity renormalization group unitary transformation. A restricted basis has been selected by performing a careful analysis of the convergence of different HH classes. Finally, the binding energy and other properties of ${}^6$Li ground state are calculated and compared with the results obtained by other techniques. Then, we present a calculation of matrix elements relevant for direct dark matter search involving ${}^6$Li. The results obtained demonstrate the feasibility of using the HH method to perform calculation beyond $A = 4$.

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