Symmetries in nuclei

Isacker, P. Van

doi:10.1063/1.3555487

Cited by 14 publications

(22 citation statements)

References 41 publications

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“…Finally, the IBM-2 0νββ decay calculations done so far, like those in EDF theory, have no explicit protonneutron pair degrees of freedom. Bosons that represent isoscalar pairs can certainly be added -a boson model with both isovector and isoscalar proton-neutron pairs is known as IBM-4 -and work is in progress to see the effects on ββ decay [255]. While it is not obvious that these effects will be large, the new pairs may bring the IBM matrix elements closer to those of the shell model.…”

Section: Adding Correlations To the Edf And The Ibmmentioning

confidence: 99%

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review

2017

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The nuclear matrix elements that govern the rate of neutrinoless double beta decay must be accurately calculated if experiments are to reach their full potential. Theorists have been working on the problem for a long time but have recently stepped up their efforts as ton-scale experiments have begun to look feasible. Here we review past and recent work on the matrix elements in a wide variety of nuclear models and discuss work that will be done in the near future. Ab initio nuclearstructure theory, which is developing rapidly, holds out hope of more accurate matrix elements with quantifiable error bars. CONTENTS

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Section: Adding Correlations To the Edf And The Ibmmentioning

confidence: 99%

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review

2017

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“…The PDS algorithms discussed, for constructing Hamiltonians with PDS, are applicable to any semi-simple algebra and can be extended to coupled algebraic structure, G 1 × G 2 [51,52]. Attempts are under way to extend the PDS notion to Bose-Fermi symmetries and supersymmetries [53].…”

Section: Discussionmentioning

confidence: 99%

Partial and quasi dynamical symmetries in quantum many-body systems

Leviatan

2015

J. Phys.: Conf. Ser.

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We introduce the notions of partial dynamical symmetry (PDS) and quasi dynamical symmetry (QDS) and demonstrate their relevance to nuclear spectroscopy, to quantum phase transitions and to mixed systems with regularity and chaos. The analysis serves to highlight the potential role of PDS and QDS towards understanding the emergent "simplicity out of complexity" exhibited by complex many-body systems. √ 7 2 ≤ χ ≤ 0 interpolate between the U(5), O(6) and SU(3) DS limits, which are reached for (ξ, χ) = (0, χ), (1, 0), and (1, − √ 72 ), respectively. It is customary to represent the parameter space by a symmetry triangle [16], shown in Fig. 1, whose vertices correspond to these limits. The ECQF has been used extensively for the description of nuclear properties and it was found that the vast majority of nuclei are best described by ECQF parameters in the interior of the triangle, away from any DS limit. In this context, a key question, addressed in the present contribution, can be phrased in the form: are there any remaining "symmetries" inside the triangle?

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“…Although the 1 + 1 state carries a large fraction of the GT strength, our analysis of both ( 3 He,t) and ( 3 He,p) reactions points out that the SU(4)-symmetry limit is not reached, as the spin-orbit potential breaks the LS-coupling scheme. The elementary pairs thus determined can be treated as bosons, leading to an interpretation of GT and np-transfer data in heavier 0f 7/2 nuclei in terms of an interacting boson model-an approach which is currently under study [13]. We believe that this may provide an intuitive and simple picture, which is complementary to stateof-the-art shell-model calculations.…”

Section: (�)mentioning

confidence: 94%

Gamow–Teller transitions and neutron–proton-pair transfer reactions

Isacker

Macchiavelli

2018

Physics Letters B

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We propose a schematic model of nucleons moving in spin-orbit partner levels, j = l ± 1 /2, to explain Gamow-Teller and two-nucleon transfer data in N = Z nuclei above 40 Ca. Use of the LS coupling scheme provides a more transparent approach to interpret the structure and reaction data. We apply the model to the analysis of charge-exchange, 42 Ca( 3 He,t) 42 Sc, and np-transfer, 40 Ca( 3 He,p) 42 Sc, reactions data to define the elementary modes of excitation in terms of both isovector and isoscalar pairs, whose properties can be determined by adjusting the parameters of the model (spin-orbit splitting, isovector pairing strength and quadrupole matrix element) to the available data. The overall agreement with experiment suggests that the approach captures the main physics ingredients and provides the basis for a boson approximation that can be extended to heavier nuclei. Our analysis also reveals that the SU(4)-symmetry limit is not realized in 42 Sc.

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Symmetries in nuclei

Cited by 14 publications

References 41 publications

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review

Partial and quasi dynamical symmetries in quantum many-body systems

Gamow–Teller transitions and neutron–proton-pair transfer reactions

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