Angular-momentum projection in coupled-cluster theory: Structure of 
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Hagen, G.; Novario, S. J.; Sun, Z. H.; Papenbrock, T.; Jansen, G. R.; Lietz, Justin G.; Duguet, Thomas; Tichai, Alexander

doi:10.1103/physrevc.105.064311

Cited by 35 publications

(3 citation statements)

References 128 publications

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“…With enough computation time, it can be generalized to allow triaxial deformation of the reference state (and thus a good calculation, e.g. in 76 Ge) and the restoration of rotational symmetry through projection onto states with good total angular momentum [113]. These developments will turn the method into a much more versatile tool for the computation of 0νββ nuclear matrix elements.…”

Section: Many-body Methodsmentioning

confidence: 99%

Towards precise and accurate calculations of neutrinoless double-beta decay

Cirigliano

Davoudi²,

Engel³

et al. 2022

J. Phys. G: Nucl. Part. Phys.

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We present the results of a National Science Foundation Project Scoping Workshop, the purpose of which was to assess the current status of calculations for the nuclear matrix elements governing neutrinoless double-beta decay and determine if more work on them is required. After reviewing important recent progress in the application of effective field theory, lattice quantum chromodynamics, and ab initio nuclear-structure theory to double-beta decay, we discuss the state of the art in nuclear-physics uncertainty quantification and then construct a roadmap for work in all these areas to fully complement the increasingly sensitive experiments in operation and under development. The roadmap includes specific projects in theoretical and computational physics as well as the use of Bayesian methods to quantify both intra- and inter-model uncertainties. The goal of this ambitious program is a set of accurate and precise matrix elements, in all nuclei of interest to experimentalists, delivered together with carefully assessed uncertainties. Such calculations will allow crisp conclusions from the observation or non-observation of neutrinoless double-beta decay, no matter what new physics is at play.

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Section: Many-body Methodsmentioning

confidence: 99%

Towards precise and accurate calculations of neutrinoless double-beta decay

Cirigliano

Davoudi²,

Engel³

et al. 2022

J. Phys. G: Nucl. Part. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…[1,2] for reviews). In particular the mild computational scaling of many-body expansion methods has allowed to extend the reach of state-of-theart ab initio approaches to heavy nuclei [3][4][5][6], collective features in open-shell systems [7][8][9][10][11], or electroweak processes [12][13][14]. Within the portfolio of many-body formalisms, many-body perturbation theory (MBPT) provides a powerful method to describe finite nuclei (see Refs.…”

Section: Introductionmentioning

confidence: 99%

“…While this generalized formalism has not been implemented yet, numerical results of its coupled cluster counterpart can be found in Refs. [9,37].…”

Section: Introductionmentioning

confidence: 99%