Nonperturbative renormalization of the neutrinoless double-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>operator in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-shell nuclei

Shukla, Deepshikha; Engel, J.; Navrátil, Petr

doi:10.1103/physrevc.84.044316

Cited by 7 publications

(15 citation statements)

References 28 publications

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“…Perhaps the most significant obstacle to a truly reliable result, however, is the implementation of induced three-body operators. Recent work [34,35] indicates that such operators are not negligible, and even here we have shown that three-body diagrams of the form in Fig. 4 are important.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Effective double-β-decay operator for76Ge and82Se

Holt

Engel

2013

Phys. Rev. C

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We use diagrammatic many-body perturbation theory in combination with low-momentum interactions derived from chiral effective field theory to construct effective shell-model transition operators for the neutrinoless double-beta decay of 76 Ge and 82 Se. We include all unfolded diagrams to first-and second-order in the interaction and all singly folded diagrams that can be constructed from them. The resulting effective operator, which accounts for physics outside the shell-model space, increases the nuclear matrix element by about 20% in 76 Ge and 30% in 82 Se.

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Section: Discussion and Outlookmentioning

confidence: 99%

Effective double-β-decay operator for76Ge and82Se

Holt

Engel

2013

Phys. Rev. C

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“…[114], which for the first time tests the consistency of the SRG approach with a continuum observable, and the evaluation of neutrinoless doublebeta decay with SRG-evolved interactions in Ref. [115]. Adapting the RG technology developed for evolving and evaluating Hamiltonians to extend these and related studies to use fully consistent evolved operators is an important goal.…”

Section: Evolution Of Operators As An Rg Frontiermentioning

confidence: 99%

New applications of renormalization group methods in nuclear physics

2013

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Abstract. We review recent developments in the use of renormalization group (RG) methods in low-energy nuclear physics. These advances include enhanced RG technology, particularly for three-nucleon forces, which greatly extends the reach and accuracy of microscopic calculations. We discuss new results for the nucleonic equation of state with applications to astrophysical systems such as neutron stars, new calculations of the structure and reactions of finite nuclei, and new explorations of correlations in nuclear systems.

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“…Some have been based on the ab-initio no-core shell model [12,13], via a valence-cluster expansion [14][15][16], and others on the in-medium similarity renormalization group [17]. In this Letter we use a third approach, the ab-initio coupled-cluster method [18][19][20][21][22][23], to construct effective shell-model interactions for use in open-shell and neutron-rich nuclei.…”

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confidence: 99%

“…-Here we report our CCEI results for ground and low-lying states in oxygen and carbon isotopes. We choose 16 O in oxygen and 14 C in carbon as the closedshell cores. We then project the one-and two-particleattached coupled-cluster wave functions onto the oneand two-particle model space states in the valence space -the d 5/2 , s 1/2 , d 3/2 shell -and proceed to use the resulting shell-model Hamiltonians in heavier isotopes.…”

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confidence: 99%

Ab InitioCoupled-Cluster Effective Interactions for the Shell Model: Application to Neutron-Rich Oxygen and Carbon Isotopes

et al. 2014

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We derive and compute effective valence-space shell-model interactions from ab-initio coupledcluster theory and apply them to open-shell and neutron-rich oxygen and carbon isotopes. Our shell-model interactions are based on nucleon-nucleon and three-nucleon forces from chiral effectivefield theory. We compute the energies of ground and low-lying states, and find good agreement with experiment. In particular our calculations are consistent with the N = 14, 16 shell closures in 22,24 O, while for 20 C the corresponding N = 14 closure is weaker. We find good agreement between our coupled-cluster effective-interaction results with those obtained from standard single-reference coupled-cluster calculations for up to eight valence neutrons. Introduction. -The nuclear shell model is the foundation on which our understanding of nuclei is built. One of the most important problems in nuclear structure today is to understand how shell structure changes with neutron-to-proton ratio throughout the nuclear chart. Shell structure influences the locations of the neutron and proton drip lines and the stability of matter. Examples of changes in shell structure are the appearance of new magic numbers N = 14 and N = 16 in the neutron-rich oxygen isotopes [1,2], and the emergence of an N = 34 sub-shell closure in 54 Ca [3][4][5][6].Phenomenological shell-model Hamiltonians such as the sd Hamiltonian of Brown and Wildenthal [7,8] (abbreviated USD) and the p-sd Hamiltonian of Warturburton and Brown [9] (abbreviated WBP), have successfully described properties of nuclei with proton number Z and neutron number N less than about 20. To understand the origin of shell structure, however, researchers are now trying to derive the shell model from realistic nucleonnucleon (NN) and three-nucleon forces (3NFs), without further phenomenology [3,10,11]. Within the last few years, for example, Otsuka et al. [11] showed that 3NFs play a pivotal role in placing the drip line (correctly) in the oxygen isotopes at 24 O, and Holt et al. [3] showed that the inclusion of 3NFs are necessary to explain the high 2 + state in 48 Ca .Until recently, all work to compute effective shellmodel interactions was perturbative.Lately, however, nonperturbative calculations have become possible. Some have been based on the ab-initio no-core shell model [12,13], via a valence-cluster expansion [14][15][16], and others on the in-medium similarity renormalization group [17]. In this Letter we use a third approach, the ab-initio coupled-cluster method [18][19][20][21][22][23], to construct effective shell-model interactions for use in open-shell and neutron-rich nuclei. Starting from NN interactions and 3NFs generated by chiral effective-field-theory, we compute the ground-and excited-state energies of neutronrich carbon and oxygen isotopes with up to eight neu-

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Nonperturbative renormalization of the neutrinoless double-βoperator inp-shell nuclei

Cited by 7 publications

References 28 publications

Effective double-β-decay operator for76Ge and82Se

Effective double-β-decay operator for76Ge and82Se

New applications of renormalization group methods in nuclear physics

Ab InitioCoupled-Cluster Effective Interactions for the Shell Model: Application to Neutron-Rich Oxygen and Carbon Isotopes

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