用耦合团簇方法计算光谱因子
Computation of spectroscopic factors with the coupled-cluster method
摘要：
我们提出了一个耦合集团理论内的光谱因子的计算。我们推导的代数方程的单体重叠功能的基础上耦合集团运动方程的解的基态和激发态的双魔核质量数$A$和质量$A-1$的奇质量邻居。作为原理证明计算，我们考虑了$^{16}$ O和奇邻居$^{15}$ O和$^{15}$ N，并计算了从$^{16}$ O去除核子的光谱因子.我们采用了一个重正化的低动量相互作用的$V_{\mathrm{low-}k}$型派生的手征相互作用在下-领导秩序。我们通过改变动量截止来研究结果的敏感性，并讨论了对质心的处理。
英文摘要：
We present a calculation of spectroscopic factors within coupled-cluster theory. Our derivation of algebraic equations for the one-body overlap functions are based on coupled-cluster equation-of-motion solutions for the ground and excited states of the doubly magic nucleus with mass number $A$ and the odd-mass neighbor with mass $A-1$. As a proof-of-principle calculation, we consider $^{16}$O and the odd neighbors $^{15}$O and $^{15}$N, and compute the spectroscopic factor for nucleon removal from $^{16}$O. We employ a renormalized low-momentum interaction of the $V_{\mathrm{low-}k}$ type derived from a chiral interaction at next-to-next-to-next-to-leading order. We study the sensitivity of our results by variation of the momentum cutoff, and then discuss the treatment of the center of mass.
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