Relation between isospin-symmetry-breaking correction to superallowed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math>decay and the energy of the charge-exchange giant monopole resonance

Rodin, Vadim

doi:10.1103/physrevc.88.064318

Cited by 10 publications

(5 citation statements)

References 28 publications

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“…A connection between isospin-symmetry breaking and the location of the giant isovector monopole resonance (IVMR) has been demonstrated by Auerbach [204]. This has recently been exploited by Rodin [205] to show that δ C is related to the reciprocal of the square of an energy parameter that characterizes the IVMR strength distributions. The proportionality coefficient in this relation is determined by basic properties of the ground state of the even-even nucleus, and should be reliably calculated in any realistic nuclear model.…”

Section: Isospin-symmetry Breakingmentioning

confidence: 95%

Superallowed0+→0+nuclearβdecays: 2014 critical survey, with precise results forVud

2015

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Superallowed 0 + → 0 + nuclear β decays: 2014 critical survey, with precise results for V ud and CKM Unitarity A new critical survey is presented of all half-life, decay-energy and branching-ratio measurements related to 20 superallowed 0 + → 0 + β decays. Included are 222 individual measurements of comparable precision obtained from 177 published references. Compared with our last review in 2008, we have added results from 24 new publications and eliminated 9 references, the results from which having been superceded by much more precise modern data. We obtain world-average f t-values for each of the eighteen transitions that have a complete set of data, then apply radiative and isospinsymmetry-breaking corrections to extract "corrected" Ft values. Fourteen of these Ft values now have a precision of order 0.1% or better. In the process of obtaining these results we carefully evaluate the available calculations of the isospin-symmetry-breaking corrections by testing the extent to which they lead to Ft values consistent with conservation of the vector current (CVC). Only one set of calculations satisfactorily meets this condition. The resultant average Ft value, when combined with the muon liftime, yields the up-down quark-mixing element of the Cabibbo-Kobayashi-Maskawa (CKM) matrix, V ud = 0.97417 ± 0.00021. The unitarity test on the top row of the matrix becomes |V ud | 2 + |Vus| 2 + |V ub | 2 = 0.99978 ± 0.00055 if the Particle Data Group recommended value for Vus is used. However, recent lattice QCD calculations, not included yet in the PDG evaluation, have introduced some inconsistency into kaon-decay measurements of Vus and Vus/V ud . We examine the impact of these new results on the unitarity test and conclude that there is no evidence of any statistically significant violation of unitarity. Finally, from the Ft-value data we also set limits on the possible existence of scalar interactions.

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Section: Isospin-symmetry Breakingmentioning

confidence: 95%

Superallowed0+→0+nuclearβdecays: 2014 critical survey, with precise results forVud

2015

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“…Nevertheless, it is unlikely that these cases will ever equal the overall level of precision already achieved for the T Z = 0 parent decays. Their a Rodin [205] also computes δ C = 0.992% for both 66 As and 70 Br.…”

Section: Uncertainty Budgetsmentioning

confidence: 99%

Superallowed 0+ --> 0+ nuclear beta decays: 2014 critical survey, with precise results for Vud and CKM unitarity

Hardy,

Towner

2014

Preprint

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A new critical survey is presented of all half-life, decay-energy and branching-ratio measurements related to 20 superallowed 0 + → 0 + β decays. Included are 222 individual measurements of comparable precision obtained from 177 published references. Compared with our last review in 2008, we have added results from 24 new publications and eliminated 9 references, the results from which having been superceded by much more precise modern data. We obtain world-average f t-values for each of the eighteen transitions that have a complete set of data, then apply radiative and isospinsymmetry-breaking corrections to extract "corrected" Ft values. Fourteen of these Ft values now have a precision of order 0.1% or better. In the process of obtaining these results we carefully evaluate the available calculations of the isospin-symmetry-breaking corrections by testing the extent to which they lead to Ft values consistent with conservation of the vector current (CVC). Only one set of calculations satisfactorily meets this condition. The resultant average Ft value, when combined with the muon liftime, yields the up-down quark-mixing element of the Cabibbo-Kobayashi-Maskawa (CKM) matrix, V ud = 0.97417 ± 0.00021. The unitarity test on the top row of the matrix becomes0.99978 ± 0.00055 if the Particle Data Group recommended value for Vus is used. However, recent lattice QCD calculations, not included yet in the PDG evaluation, have introduced some inconsistency into kaon-decay measurements of Vus and Vus/V ud . We examine the impact of these new results on the unitarity test and conclude that there is no evidence of any statistically significant violation of unitarity. Finally, from the Ft-value data we also set limits on the possible existence of scalar interactions.

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“…With increasing computational power, more exact theoretical treatments which were out of reach during the early superallowed reviews, have been under investigation for the past 10 years [5,[15][16][17][18]. So far, these new methods have provided useful insight into where some of the older phenomenological approaches may be incomplete [13], but have not yet reached the level of refinement needed for testing the Standard Model.…”

mentioning

confidence: 99%

High-precision QEC -value measurement of the superallowed β+ emitter Mg22 and an ab

Reiter
¹
,

Leach
²
,

Drozdowski
³

et al. 2017

Phys. Rev. C

11
5
22
0

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Relation between isospin-symmetry-breaking correction to superallowedβdecay and the energy of the charge-exchange giant monopole resonance

Cited by 10 publications

References 28 publications

Superallowed0+→0+nuclearβdecays: 2014 critical survey, with precise results forVud

Superallowed0+→0+nuclearβdecays: 2014 critical survey, with precise results forVud

Superallowed 0+ --> 0+ nuclear beta decays: 2014 critical survey, with precise results for Vud and CKM unitarity

High-precision QEC -value measurement of the superallowed β+ emitter Mg22 and an ab

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