论文标题

耦合群集理论中的Angular-Momentum投影:$^{34} $ mg的结构

Angular-momentum projection in coupled-cluster theory: structure of $^{34}$Mg

论文作者

Hagen, G., Novario, S. J., Sun, Z. H., Papenbrock, T., Jansen, G. R., Lietz, J. G., Duguet, T., Tichai, A.

论文摘要

单参照耦合群集理论是核多体问题的准确且负担得起的计算方法。对于开放壳核,参考状态通常会破坏旋转不变性,并且必须将角动量恢复为良好的量子数。我们在变化后执行角度摩肌投影,并采用分离的耦合群集形式主义和遗传学方法。我们使用手性有效场理论中的两种核电相互作用以及传统的壳模型中的$ pf $ shell nuclei进行比较的结果,以$^8 $ BE和$^{20} $ NE进行比较。我们计算外来核中的旋转频段$^{34} $ mg,并与数据达成协议。

Single-reference coupled-cluster theory is an accurate and affordable computational method for the nuclear many-body problem. For open-shell nuclei, the reference state typically breaks rotational invariance and angular momentum must be restored as a good quantum number. We perform angular-momentum projection after variation and employ the disentangled coupled-cluster formalism and a Hermitian approach. We compare our results with benchmarks for $^8$Be and $^{20}$Ne using a two-nucleon interaction from chiral effective field theory and for $pf$-shell nuclei within the traditional shell model. We compute the rotational band in the exotic nucleus $^{34}$Mg and find agreement with data.

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