Systematic law for half-lives of double-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math>decay with two neutrinos

Ren, Yuejiao; Ren, Zhongzhou

doi:10.1103/physrevc.89.064603

Cited by 34 publications

(23 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If the g pp value is varied from 0.4 to 1.2, the half-life decreases by more than 50%. This effect can be easily understood in terms of the general Sargent law T 1/2 ∝ 1/(Q β − E f ) 5 or the new exponential law for β-decay half-lives [47,48], because increasing the pp interaction would cause a lowering of the excitation energies E f [49]. Here, we adopt a g pp strength of g pp = 1.10 for all nuclei under investigation.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

β-decay rates of neutron-rich Zr and Mo isotopes in the deformed quasiparticle random-phase approximation with realistic interactions

Ren

2014

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

The β − -decay rates of neutron-rich Zr and Mo isotopes are investigated within the deformed quasiparticle random-phase approximation with realistic nucleon-nucleon interactions. Axially symmetric deformations are considered in the calculations from a mean-field description of a quasiparticle picture and of both particle-hole and particle-particle excitations. The Brückner G matrix obtained with charge-dependent Bonn nucleon-nucleon forces is employed for residual particle-particle and particle-hole interactions. Contributions from both allowed Gammow-Teller and first-forbidden transitions are calculated and the sensitivity of the calculated results to the particle-particle strength is discussed. The calculated β-decay half-lives show a good agreement with the available experimental data. Moreover, predictions of β-decay half-lives are made for some extremely neutron-rich isotopes, which could be useful for future experiments.

show abstract

Section: Numerical Results and Discussionmentioning

confidence: 99%

β-decay rates of neutron-rich Zr and Mo isotopes in the deformed quasiparticle random-phase approximation with realistic interactions

Ren

2014

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…The method of Ref. [10] is not calibrated to decays to 2 + states and may not produce reliable estimates for these decay modes. [4] establishing and maintaining KURF.…”

Section: Discussionmentioning

confidence: 99%

“…A systematic law for the ββ-decay half-lives, published by Ren and Ren [10], is used to produce estimates for the excited state decays. This law is fit to experimental data for the ground state decay, but was shown to produce accurate results for decays to the first excited 0 + state.…”

Section: Discussionmentioning

confidence: 99%

Search for two-neutrino double-βdecay ofZr96to excited states ofMo<

Finch

Tornow

2015

Phys. Rev. C

View full text Add to dashboard Cite

Background: Double-β decay is a rare second-order nuclear decay. The importance of this decay steams from the possibility of neutrinoless double-β decay and its applications to neutrino physics.Purpose: A search was conducted for the 2νββ decay of 96 Zr to excited final states of the daughter nucleus, 96 Mo. Measurements of this decay are important to test nuclear matrix element calculations, which are necessary to extract the neutrino mass from a measurement of the neutrinoless double-β decay half-life.Method: Two coaxial high-purity germanium detectors were used in coincidence to detect γ rays produced by the daughter nucleus as it de-excited to the ground state. The experiment was carried out at the Kimballton Underground Research Facility and produced 685.7 days of data with a 17.91 g enriched sample.Results: No counts were seen above background. For the decay to the first excited 0 + state, a limit of T 1/2 > 3.1 × 10 20 yr was produced. Limits to higher excited states are also reported. Conclusion:The new limits on double-β decay are an improvement over previous experiments by a factor of 2 to 5 for the various excited states. The nuclear matrix element for the double-β decay to the first excited 0 + state is found to be < 0.13.

show abstract

“…For such predictions information on DBD half-lives not yet measured obtained from empirical formulas, as is proposed in Ref. [43], are valuable. Similarly, for the 0νββ decay one can deduce more information about the effective value of g 0ν…”

Section: Products Of Phase Space Factors and Nuclear Matrix Elementsmentioning

confidence: 99%

Computation of products of phase space factors and nuclear matrix elements for double beta decay *

Stoica

2019

Chinese Phys. C

View full text Add to dashboard Cite

The nuclear matrix elements (NME) and phase space factors (PSF) entering the half-life formulas of the double-beta decay (DBD) process are two key quantities whose accurate computation still represents a challenge. In this paper we propose a new approach of calculating them, namely to compute directly their product as an unique formula. This procedure allows a more coherent treatment of the nuclear approximations and input parameters appearing in both quantities and avoids possible confusion in interpreting the DBD data due to different individual expressions adopted for PSF and NME (and consequently their reporting in different units) by different authors. Our calculations are performed for both two neutrino (2νββ) and neutrinoless (0νββ) decay modes, and for five nuclei of most experimental interest. Further, using the most recent experimental limits for 0νββ decay half-lives, we provide new constraints on the light mass neutrino parameter. Finally, by separating in the half-lives formulas the factor representing the axial-vector constant to the forth, we advance suggestions on how to reduce the errors introduced in calculation by the uncertain value of this constant by exploiting the DBD data from different isotopes and/or decay modes.

show abstract

Systematic law for half-lives of double-βdecay with two neutrinos

Cited by 34 publications

References 40 publications

β-decay rates of neutron-rich Zr and Mo isotopes in the deformed quasiparticle random-phase approximation with realistic interactions

β-decay rates of neutron-rich Zr and Mo isotopes in the deformed quasiparticle random-phase approximation with realistic interactions

Search for two-neutrino double-βdecay ofZr96to excited states ofMo<

Computation of products of phase space factors and nuclear matrix elements for double beta decay *

Contact Info

Product

Resources

About