Corrections to the ft-values of 0+ → 0+ superallowed β-decays

Damgaard, J.

doi:10.1016/0375-9474(69)90974-9

Cited by 46 publications

(33 citation statements)

References 16 publications

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“…1. The available estimates of the isospin impurity correction 6cl as a function of the nuclear charge Z of the daughter nuclei than those by Damgaard [9]; the difference increases with Z, and reaches 16~ for 5~Co. However, the value 6~=0.47~o for 54Co reported in [12] is still 24~ larger than the value 6~1=0.38~o obtained by Lane and Mekjian [11].…”

Section: Microscopic Calculations Of 6~mentioning

confidence: 96%

Current state of the investigation of superallowed Fermi? decays

Szybisz

1979

Z Physik A

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Section: Microscopic Calculations Of 6~mentioning

confidence: 96%

Current state of the investigation of superallowed Fermi? decays

Szybisz

1979

Z Physik A

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“…The first model was proposed in 1969 by Damgaard [4] and was improved eight years later by Towner et al [15]. The idea is that the proton involved in beta decay has a different radial wave function than the neutron into which it transforms because it is influenced by the Coulomb interaction with all 065501-2 the other protons in the nucleus.…”

Section: A Damgaard Modelmentioning

confidence: 99%

“…[3]. However, there are a growing number of alternative choices [4][5][6][7][8][9] available for one of the two correction terms-the one that accounts for isospin symmetry breaking-including a set we offer ourselves [1]. There has also been a claim, albeit unsupported by any detailed computations, that our calculations neglect a radial excitation term, which is purported to be important [10].…”

Section: Introductionmentioning

confidence: 99%

Comparative tests of isospin-symmetry-breaking corrections to superallowed0+→0+nuclearβdecay

2010

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We present a test with which to evaluate the calculated isospin-symmetry-breaking corrections to superallowed 0 + → 0 + nuclear β decay. The test is based on the corrected experimental Ft values being required to satisfy conservation of the vector current (CVC). When applied to six sets of published calculations, the test demonstrates quantitatively that only one set, the one based on the shell model with Saxon-Woods radial wave functions, provides satisfactory agreement with CVC. This test can easily be applied to any sets of calculated correction terms that are produced in future.

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“…In this work we concentrate on the isospin-breaking (ISB) corrections δ C , which were already computed by various authors, using a diverse set of nuclear models [2,[10][11][12][13][14][15][16][17]. The standard in this field has been set by Towner and Hardy (HT) [2] who used the nuclear shellmodel to account for the configuration mixing effect, and the mean-field (MF) approach to account for a radial mismatch of proton and neutron single-particle (s.p.)…”

Section: Introductionmentioning

confidence: 99%

Isospin-breaking corrections to superallowed Fermiβdecay in isospin- and angular-momentum-projected nuclear density functional theory

et al. 2012

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Background: The superallowed β-decay rates provide stringent constraints on physics beyond the Standard Model of particle physics. To extract crucial information about the electroweak force, small isospin-breaking corrections to the Fermi matrix element of superallowed transitions must be applied.Purpose: We perform systematic calculations of isospin-breaking corrections to superallowed β-decays and estimate theoretical uncertainties related to the basis truncation, time-odd polarization effects related to the intrinsic symmetry of the underlying Slater determinants, and to the functional parametrization. Methods:We use the self-consistent isospin-and angular-momentum-projected nuclear density functional theory employing two density functionals derived from the density independent Skyrme interaction. Pairing correlations are ignored. Our framework can simultaneously describe various effects that impact matrix elements of the Fermi decay: symmetry breaking, configuration mixing, and long-range Coulomb polarization. Results:The isospin-breaking corrections to the I = 0 + , T = 1 → I = 0 + , T = 1 pure Fermi transitions are computed for nuclei from A=10 to A=98 and, for the first time, to the Fermi branch of the I, T = 1/2 → I, T = 1/2 transitions in mirror nuclei from A=11 to A=49. We carefully analyze various model assumptions impacting theoretical uncertainties of our calculations and provide theoretical error bars on our predictions. Conclusions:The overall agreement with empirical isospin-breaking corrections is very satisfactory. Using computed isospin-breaking corrections we show that the unitarity of the CKM matrix is satisfied with a precision better than 0.1%.

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Corrections to the ft-values of 0+ → 0+ superallowed β-decays

Cited by 46 publications

References 16 publications

Current state of the investigation of superallowed Fermi? decays

Current state of the investigation of superallowed Fermi? decays

Comparative tests of isospin-symmetry-breaking corrections to superallowed0+→0+nuclearβdecay

Isospin-breaking corrections to superallowed Fermiβdecay in isospin- and angular-momentum-projected nuclear density functional theory

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