Gamow-Teller response in the configuration space of a density-functional-theory–rooted no-core configuration-interaction model

Konieczka, M.; Kortelainen, M. J.; Satuła, W.

doi:10.1103/physrevc.97.034310

Cited by 15 publications

(11 citation statements)

References 54 publications

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“…Lately a lot of effort has been put in developing isospin-invariant density-functional methods. In [622] an isospin invariant Skyrme EDF approach was developed and in [623] good isospin was achieved within a no-core configuration-interaction approach rooted in a multireference EDF theory.…”

Section: Partial Restoration Of the Isospin Symmetrymentioning

confidence: 99%

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays

2019

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Neutrino-nuclear responses associated with astro-neutrinos, single beta decays and double beta decays are crucial in studies of neutrino properties of interest for astro-particle physics. The present report reviews briefly recent studies of the neutrino-nuclear responses from both experimental and theoretical points of view in order to obtain a consistent understanding of the many facets of the neutrino-nuclear responses. Subjects discussed in this review include (i) experimental studies of neutrino-nuclear responses by means of single beta decays, charge-exchange nuclear reactions, muon-photon-and neutrino-nuclear reactions, and nucleon-transfer reactions, (ii) implications of and discussions on neutrino-nuclear responses for single beta decays, for astroneutrinos, and for astro-neutrino nucleosynthesis, (iii) theoretical aspects of neutrino-nuclear responses for beta and double beta decays, for nuclear muon capture and for neutrino-nucleus scattering, and (iv) critical discussions on nucleonic and non-nucleonic spin-isospin correlations and renormalization (quenching or enhancement) effects on the axial weak coupling. Remarks are given on perspectives of experimental and theoretical studies of the neutrino-nuclear responses and on future experiments of double beta decays.

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Section: Partial Restoration Of the Isospin Symmetrymentioning

confidence: 99%

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays

2019

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“…Note that the model space of DFT-NCCI is very large even in the case that the configurations are restricted to only 1p-1h excitations. The DFT-NCCI has been successfully applied to study single-β decay of a set of light nuclei [199,200]. There, the convergence behavior for the observables of interest is investigated with respect to the number of 1p-1h configurations selected by energy ordering and symmetry requirements.…”

Section: Configuration Mixing With Non-collective Basis Statesmentioning

confidence: 99%

Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism

Yao,

Meng,

Niu

et al. 2021

Preprint

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Nuclear weak decays provide important probes to fundamental symmetries in nature. A precise description of these processes in atomic nuclei requires comprehensive knowledge on both the strong and weak interactions in the nuclear medium and on the dynamics of quantum many-body systems. In particular, an observation of the hypothetical double beta decay without emission of neutrinos (0νββ) would unambiguously demonstrate the Majorana nature of neutrinos and the existence of the lepton-number-violation process. It would also provide unique information on the ordering and absolute scale of neutrino masses. The next-generation tonne-scale experiments with sensitivity up to 10 28 years after a few years of running will probably provide a definite answer to these fundamental questions based on our current knowledge on the nuclear matrix element (NME), the precise determination of which is a challenge to nuclear theory. Beyond-mean-field approaches have been frequently adapted for the studies of nuclear structure and decay throughout nuclear chart for several decades. In this review, we summarize the status of beyond-mean-field calculations of the NMEs of 0νββ decay assuming the standard mechanism of an exchange of light Majorana neutrinos. The challenges and future prospects in the extension and application of beyond-mean-field approaches for 0νββ decay are discussed. Contents

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“…The method is similar in spirit to the projected shell model but uses the full configuration space, removing the need for a core and/or effective charges. The present implementation of the No Core configuration interaction uses p-h excitations of Slater determinants projected to good angular momentum and isospin and has been used to study the excitation spectrum of several N ≈ Z nuclei as well as β decay matrix elements (Konieczka et al, 2016(Konieczka et al, , 2018. Also matrix elements of exotic processes exploring the physics beyond the Standard Model of particle physics have been analyzed.…”

Section: Non Relativistic Edfsmentioning

confidence: 99%

Symmetry restoration in mean-field approaches

Sheikh,

Dobaczewski,

Ring

et al. 2019

Preprint

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The mean-field approximation based on effective interactions or density functionals plays a pivotal role in the description of finite quantum many-body systems that are too large to be treated by ab initio methods. Examples are strongly interacting atomic nuclei and mesoscopic condensed matter systems. In this approach, the linear Schrodinger equation for the exact many-body wave function is mapped onto a non-linear density-dependent one-body potential problem. This approximation, not only provides computationally very simple solutions even for systems with many particles, but due to the non-linearity, it also allows for obtaining solutions that break essential symmetries of the system, often connected with phase transitions. However, mean-field approach suffers from the drawback that the corresponding wave functions do not have sharp quantum numbers and, therefore, many results cannot be compared directly with experimental data. In this article, we discuss general group theoretical techniques to restore the broken symmetries, and provide detailed expressions on the restoration of translational, rotational, spin, isospin, parity and gauge symmetries, where the latter corresponds to the restoration of the particle number. In order to avoid the numerical complexity of exact projection techniques, various approximation methods available in the literature are examined. We present applications of the projection methods to simple nuclear models, realistic calculations in relatively small configuration spaces, nuclear energy density functional theory, as well as in other mesoscopic systems. We also discuss applications of projection techniques to quantum statistics in order to treat the averaging over restricted ensembles with fixed quantum numbers. Further, unresolved problems in the application of the symmetry restoration methods to the energy density functional theories are highlighted. CONTENTSL. Other electronic systems 60 M. Other emerging directions 60 VIII. Projected statistics 61 A. Symmetry restoration at finite temperature 62 B. Thermo-field dynamics 63 IX. Summary, conclusions, and perspectives 63 X. Acknowledgments 64 A. Overlaps and matrix elements between HFB states: the generalized Wick's theorem 65

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Gamow-Teller response in the configuration space of a density-functional-theory–rooted no-core configuration-interaction model

Cited by 15 publications

References 54 publications

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays

Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism

Symmetry restoration in mean-field approaches

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