含流动三体算符的IMSRG及其近似
IMSRG with flowing 3 body operators, and approximations thereof
AI总结:
本文在IMSRG中引入流动三体算符,通过两个玩具模型和偶A碳同位素计算表明,仅保留N^7标度对易子即可极佳近似完整三体处理。
摘要:
我们探讨了在介质内相似重整化群(IMSRG)中保留三体算符的影响,以及各种近似方案。在研究了两个玩具问题——具有接触相互作用的全同费米子和Lipkin-Meshkov-Glick模型——之后,我们采用IMSRG的价空间表述,利用手征两体势研究偶A碳同位素。我们发现,仅保留那些按N^7标度的对易子表达式,即可对完整三体处理提供极佳的近似。
英文摘要:
We explore the impact of retaining three-body operators within the in-medium similarity renormalization group (IMSRG), as well as various approximations schemes. After studying two toy problems, idential fermions with a contact interaction and the Lipkin-Meshkov-Glick model, we employ the valence-space formulation of the IMSRG to investigate the even-$A$ carbon isotopes with a chiral two-body potential. We find that retaining only those commutators expressions that scale as $N^7$ provides an excellent approximation of the full three-body treatment.
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