2017
DOI: 10.3389/fphy.2017.00055
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Value of the Axial-Vector Coupling Strength in β and ββ Decays: A Review

Abstract: In this review the quenching of the weak axial-vector coupling strength, g A , is discussed in nuclear β and double-β decays. On one hand, the nuclear-medium and nuclear many-body effects are separated, and on the other hand the quenching is discussed from the points of view of different many-body methods and different β-decay and double-β-decay processes. Both the historical background and the present status are reviewed and contrasted against each other. The theoretical considerations are tied to performed a… Show more

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Cited by 187 publications
(189 citation statements)
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References 256 publications
(571 reference statements)
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“…• Even if our results may be still significantly improved, we can assert that the effect of the renormalization of the 0νββ-decay operator, with respect to the truncation of the full Hilbert space to the shell-model one, is far less important than that regarding the well-known problem of the g A quenching [33,76]. Namely, the M 0ν s calculated using the effective 0νββ-decay operator are quite larger than those calculated employing a quenching factor deduced by our results for the 2νββ-decay (see Section III).…”
Section: Discussionmentioning
confidence: 76%
“…• Even if our results may be still significantly improved, we can assert that the effect of the renormalization of the 0νββ-decay operator, with respect to the truncation of the full Hilbert space to the shell-model one, is far less important than that regarding the well-known problem of the g A quenching [33,76]. Namely, the M 0ν s calculated using the effective 0νββ-decay operator are quite larger than those calculated employing a quenching factor deduced by our results for the 2νββ-decay (see Section III).…”
Section: Discussionmentioning
confidence: 76%
“…Low-threshold optical bolometers can also be exploited for the investigation of other rare processes as the study of a beta spectrum shape of 4-fold-forbidden β decays of 113 Cd and 115 In [25] to scrutinize the value of the axial-vector coupling constant. Its value is expected to be similar to one involved in the neutrino-less double-beta decay process [26]. In spite of 10 14 -10 16 yr half-live of these rare beta decays, the induced counting rate and subsequently the probability of pile-ups in macro-bolometers containing these nuclides can be rather high, which strongly affects the precision of the spectrum reconstruction.…”
Section: Discussionmentioning
confidence: 97%
“…Moreover, the effective value of g A can also depend on the energy scale of the process and it can be different for β and 2β decays (for exhaustive reviews see Refs. [169,170]). A good probe to study the effective value of g A can be the β decay of the 113 Cd isotope (4th forbidden non-unique, Q β = (323.83 ± 0.27) keV [63]).…”
Section: The Rare β Decaysmentioning
confidence: 99%
“…[244,245,190], the investigations of the spectral shape of non-unique forbidden β decays have the potential to give an estimate of the weak interaction coupling constants g A and g V by comparing a theoretical shape with the experimental spectrum. The approach provides an important possibility to solve the g A problem of the neutrinoless double beta decay [246,247,248,170]. However, the spectrum measured in [193] and utilized in the work [244] to estimate the g A constant, was without systematic uncertainties which limited the capability of the approach to find the most suitable nuclear models and to estimate g A .…”
Section: CD β Decaymentioning
confidence: 99%