Effective field theory for triaxially deformed nuclei

Chen, Q. B.; Kaiser, Norbert; Meißner, Ulf‐G.; Meng, J.

doi:10.1140/epja/i2017-12404-5

Cited by 15 publications

(20 citation statements)

References 43 publications

(86 reference statements)

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“…In addition, it will be important to perform LO calculations within ETs for axial [49][50][51][52] and triaxial [103] nuclei. This will provide access to nuclei whose ground states deviate from sphericity, and is thus also expected to improve the calculations for some nuclei in this work, whose ground states possess some deformation.…”

Section: Discussionmentioning

confidence: 99%

Gamow-Teller and double- β decays of heavy nuclei within an effective theory

2018

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We study β decays within an effective theory that treats nuclei as a spherical collective core with an even number of neutrons and protons that can couple to an additional neutron and/or proton. First we explore Gamow-Teller β decays of parent odd-odd nuclei into low-lying ground, one-phonon, and two-phonon states of the daughter even-even system. The low-energy constants of the effective theory are adjusted to data on β decays to ground states or Gamow-Teller strengths. The corresponding theoretical uncertainty is estimated based on the power counting of the effective theory. For a variety of medium-mass and heavy isotopes the theoretical matrix elements are in good agreement with experimental results within the theoretical uncertainties. We then study the two-neutrino double-β decay into ground and excited states. The results are remarkably consistent with experiment within theoretical uncertainties, without the necessity to adjust any low-energy constants.arXiv:1708.06140v2 [nucl-th]

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Section: Discussionmentioning

confidence: 99%

Gamow-Teller and double- β decays of heavy nuclei within an effective theory

2018

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“…The recent investigation of band structures in 108,110,112 Ru with two complementary theoretical models, cranked Hartree-Fock-Bogoliubov (CHFB) method with density functional UN-EDF0 and triaxial projected shell model (TPSM), concludes that the high-spin behavior in 108,110,112 Ru consists with triaxial rotation while the obtained triaxial minima are fairly shallow [32]. Very recently, the band structures in these even Ru isotopes was also investigated in the framework of the effective field theory [33].…”

Section: Introductionmentioning

confidence: 99%

“…Theoretically, various methods [15,[24][25][26][27][28][29][30][31][32][33] have been devoted to investigate the evolution of the triaxiality in Ru isotopes. Using the macroscopic-microscopic finiterange liquid-drop model (FRLDM), Möller et al, have identified 108 Ru as having the largest effects of triaxial deformation, ∼ 0.7 MeV, on the ground-state energy [24,25].…”

Section: Introductionmentioning

confidence: 99%

Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory

Shi

2018

Phys. Rev. C

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Background: The triaxiality in nuclear low-lying states has attracted great interests for many years. Recently, the reduced transition probabilities for levels near the ground state in 110 Ru have been measured and provided strong evidences for a triaxial shape of this nucleus.Purpose: The aim of this work is to provide a microscopic study of low-lying states for the Ru isotopes with A ∼ 100 and to examine in detail the role of triaxiality, and the evolution of quadrupole shapes with the isospin and spin degrees of freedom. Method:The low-lying excitation spectra and transition probabilities of even-even Ru isotopes are described at the beyond mean-field level by solving a five-dimensional collective Hamiltonian with parameters determined by constrained self-consistent mean-field calculations based on the relativistic energy density functional PC-PK1.Results: The calculated energy surfaces, low-energy spectra, intraband and interband transition rates, as well as some characteristic collective observables, such as E(4 + g.s. )/E(2 + g.s. ), E(2 + γ )/E(4 + g.s. ), B(E2; 2 + g.s. → 0 + g.s. ), and γ band staggerings are in a good agreement with the available experimental data. Conclusions:The main features of the experimental low-lying excitation spectra and electric transition rates are well reproduced, and thus strongly support the onset of triaxiality in the low-lying excited states of the Ru isotopes around 110 Ru.

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“…One of the advantages of the ET is to provide consistent theoretical uncertainties. Similar ETs have been used to study electromagnetic transitions in spherical [53,54] and deformed [55][56][57][58][59][60][61] nuclei. In addition, we present the first large-scale nuclear shell model calculation for 124 Xe 2νECEC.…”

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confidence: 99%

Two-neutrino double electron capture on 124Xe based on an effective theory and the nuclear shell model

2019

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We study the two-neutrino double electron capture on 124 Xe based on an effective theory (ET) and large-scale shell model calculations, two modern nuclear structure approaches that have been tested against Gamow-Teller and double-beta decay data. In the ET, the low-energy constants are fit to electron capture and β − transitions around xenon. For the nuclear shell model, we use an interaction in a large configuration space that reproduces the spectroscopy of nuclei in this mass region. For the dominant transition to the 124 Te ground state, we find half-lives T 2νECEC 1/2 = (1.3 − 18) × 10 22 y for the ET and T 2νECEC 1/2 = (0.43 − 2.9) × 10 22 y for the shell model. The ET uncertainty leads to a half-life almost entirely consistent with present experimental limits and largely within the reach of ongoing experiments. The shell model half-life range overlaps with the ET, but extends less beyond current limits. Our findings thus suggest that the two-neutrino double electron capture on 124 Xe has a good chance to be discovered by ongoing or future experiments. In addition, we present results for the two-neutrino double electron capture to excited states of 124 Te. arXiv:1809.04443v1 [nucl-th]

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Effective field theory for triaxially deformed nuclei

Cited by 15 publications

References 43 publications

Gamow-Teller and double- β decays of heavy nuclei within an effective theory

Gamow-Teller and double- β decays of heavy nuclei within an effective theory

Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory

Two-neutrino double electron capture on 124Xe based on an effective theory and the nuclear shell model

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