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

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arxiv 2201.07298 v1 pith:WPJINGS6 submitted 2022-01-18 nucl-th

classification nucl-th
keywords coupled-clustertheoryangular-momentumnucleiprojectionrotationalshellaccurate
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 1 Pith paper

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  1. Competition of the shell closure and deformations across the doubly magic $^{78}$Ni

    nucl-ex 2024-12 conditional

    A review of recent RIBF experiments and theoretical models concludes that 78Ni is doubly magic in its ground state but shows signs of shape coexistence with deformed states nearby.

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