Evaluation of the resonance enhancement effect in neutrinoless double-electron capture in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>152</mml:mn></mml:msup></mml:math>Gd,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>164</mml:mn></mml:msup></mml:math>Er, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>180</mml:mn></mml:msup></mml:mat

Fang, Dufei; Blaum, Klaus; Eliseev, Sergey; Faessler, Amand; Krivoruchenko, M. I.; Rodin, Vadim; Šimkovic, F.

doi:10.1103/physrevc.85.035503

Cited by 21 publications

(27 citation statements)

References 54 publications

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“…Among the promising isotopes, 152 Gd has likely resonance transitions to the 0 + ground states of the final nucleus as it follows from improved measurement of Q-value for this transition with accuracy of about 100 eV [67]. A detailed calculation of the 0νECEC of 152 Gd was performed in [72] (see Table III). The atomic electron wave functions were treated in the relativistic Dirac-Hartree-Fock approximation [73].…”

Section: The Resonant Neutrinoless Double Electron Capturementioning

confidence: 99%

Nuclear matrix elements for neutrinoless double-beta decay and double-electron capture

Faessler

Rodin

Šimkovic

2012

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

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A new generation of neutrinoless double beta decay (0νββ-decay) experiments with improved sensitivity is currently under design and construction. They will probe inverted hierarchy region of the neutrino mass pattern. There is also a revived interest to the resonant neutrinoless doubleelectron capture (0νECEC), which has also a potential to probe lepton number conservation and to investigate the neutrino nature and mass scale. The primary concern are the nuclear matrix elements. Clearly, the accuracy of the determination of the effective Majorana neutrino mass from the measured 0νββ-decay half-life is mainly determined by our knowledge of the nuclear matrix elements. We review recent progress achieved in the calculation of 0νββ and 0νECEC nuclear matrix elements within the quasiparticle random phase approximation. A considered self-consistent approach allow to derive the pairing, residual interactions and the two-nucleon short-range correlations from the same modern realistic nucleon-nucleon potentials. The effect of nuclear deformation is taken into account. A possibility to evaluate 0νββ-decay matrix elements phenomenologically is discussed.

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Section: The Resonant Neutrinoless Double Electron Capturementioning

confidence: 99%

Nuclear matrix elements for neutrinoless double-beta decay and double-electron capture

Faessler

Rodin

Šimkovic

2012

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

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“…First, these are transitions between nuclear ground states with spin and parity of 0 + . The nuclear matrix elements of such transitions are the largest and unlike transitions to nuclear excited states can be calculated quite reliably . Furthermore, for such transitions the capture of two orbital K‐electrons is allowed if

Q_{ε ε} > B_{2 h}

.…”

Section: Neutrinoless Double‐electron Capturementioning

confidence: 99%

Penning‐trap mass spectrometry and neutrino physics

2013

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Rapidly developing neutrino physics has found in Penning-trap mass spectrometry a staunch ally in investigating a variety of fundamental problems. The most familiar are the absolute neutrino mass, possible existence of resonant neutrinoless double-electron capture and of keV-sterile neutrinos, and investigation of neutrino oscillations. This article is a brief review of the latest achievements and future perspectives of Penning-trap mass spectrometry in the exploration of these problems with a focus on electron capture and double electron capture processes

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“…which is of the order of the inverse nuclear radius, g A is the axial-vector nucleon coupling and the effective Majorana neutrino mass m ββ appears as the complex conjugate of the expression (1.3) for neutrinoless double beta decay. The experimental activity in recent years has in turn stimulated the calculation [32][33][34][35][36][37][38][39] of the nuclear matrix elements for the cases of interest. A list of likely resonant transitions was provided in [35], excluding some of those previously suggested in [20].…”

Section: Introductionmentioning

confidence: 99%

“…The values of the relevant parameters are the experimental ∆ = M 1 − M 2 = (0.91 ± 0.18) keV [21] for the masses of the parent "1" and daughter "2" atoms, Γ = 0.023 keV [22] for the two-hole atomic width and the Q-value of the ground state to ground state transition Q = (55.70±0.18) keV [21]. The theoretical mixing is [36,39] |M 21 | = 10 −24 |m ββ | 0.1 eV eV . As seen, the optimal resonant enhancement condition is still off by at least a factor 30, implying a loss of 3 orders of magnitude in the expected X-ray rate from the parent atom.…”

Section: Introductionmentioning

confidence: 99%

Stimulated transitions in resonant atom Majorana mixing

Bernabéu

Segarra

2018

J. High Energ. Phys.

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Massive neutrinos demand to ask whether they are Dirac or Majorana particles. Majorana neutrinos are an irrefutable proof of physics beyond the Standard Model. Neutrinoless double electron capture is not a process but a virtual ∆L = 2 mixing between a parent A Z atom and a daughter A (Z − 2) excited atom with two electron holes. As a mixing between two neutral atoms and the observable signal in terms of emitted two-hole X-rays, the strategy, experimental signature and background are different from neutrinoless double beta decay. The mixing is resonantly enhanced for almost degeneracy and, under these conditions, there is no irreducible background from the standard two-neutrino channel. We reconstruct the natural time history of a nominally stable parent atom since its production either by nature or in the laboratory. After the time periods of atom oscillations and the decay of the short-lived daughter atom, at observable times the relevant "stationary" states are the mixed metastable long-lived state and the non-orthogonal shortlived excited state, as well as the ground state of the daughter atom. We find that they have a natural population inversion which is most appropriate for exploiting the bosonic nature of the observed atomic transitions radiation. Among different observables of the atom Majorana mixing, we include the enhanced rate of stimulated X-ray emission from the long-lived metastable state by a high-intensity X-ray beam: a gain factor of 100 can be envisaged at current XFEL facilities. On the other hand, the historical population of the daughter atom ground state can be probed by exciting it with a current pulsed optical laser, showing the characteristic absorption lines: the whole population can be excited in a shorter time than typical pulse duration.

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Evaluation of the resonance enhancement effect in neutrinoless double-electron capture in152Gd,164Er, and180

Cited by 21 publications

References 54 publications

Nuclear matrix elements for neutrinoless double-beta decay and double-electron capture

Nuclear matrix elements for neutrinoless double-beta decay and double-electron capture

Penning‐trap mass spectrometry and neutrino physics

Stimulated transitions in resonant atom Majorana mixing

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