2011
DOI: 10.1016/j.physletb.2011.01.005
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Fermi matrix element with isospin breaking

Abstract: Prompted by the level of accuracy now being achieved in tests of the unitarity of the CKM matrix, we consider the possible modification of the Fermi matrix element for the β-decay of a neutron, including possible in-medium and isospin violating corrections. While the nuclear modifications lead to very small corrections once the Behrends-Sirlin-Ademollo-Gatto theorem is respected, the effect of the u−d mass difference on the conclusion concerning V ud is no longer insignificant. Indeed, we suggest that the corr… Show more

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Cited by 7 publications
(7 citation statements)
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References 13 publications
(11 reference statements)
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“…Our results of effects of about 10 −4 (with a spread of about a factor of 5) depend on the details of the quark model, so that the details of the strong interaction model, mentioned above, enter in important ways. Nevertheless, it is encouraging that these results are very similar to those of a MIT bag model calculation [11]. The size of these effects is about the same as the current experimental uncertainties.…”
Section: Charge-symmetry Breaking and Fermi β Decay Of The Neutronsupporting
confidence: 83%
See 1 more Smart Citation
“…Our results of effects of about 10 −4 (with a spread of about a factor of 5) depend on the details of the quark model, so that the details of the strong interaction model, mentioned above, enter in important ways. Nevertheless, it is encouraging that these results are very similar to those of a MIT bag model calculation [11]. The size of these effects is about the same as the current experimental uncertainties.…”
Section: Charge-symmetry Breaking and Fermi β Decay Of The Neutronsupporting
confidence: 83%
“…This assumption is correct if isospin symmetry (more precisely, charge symmetry) is upheld in the nucleon wave function. We examined these assumption in [10], with results, sim-ilar to that of an earlier study [11], finding that there is a correction with the value about equal to the current uncertainty. It is noteworthy that the parton content of nucleons is modified by charge symmetry breaking effects [12][13][14].…”
Section: Introductionmentioning
confidence: 85%
“…The effect of nuclear structure variation in super-allowed Fermi beta-decay has been examined in Ref. [91], including quark mass differences. While the u-d mass difference can produce a correction to the value of V ud needed to ensure unitarity of the Cabibbo-Kobayashi-Maskawa matrix which is almost significant (i.e., at a level of a few times 10 −5 ) compared with modern tests using super-allowed Fermi beta-decay of nuclear iso-triplets, the additional correction associated with the modification of nucleon structure in-medium was shown to be an order of magnitude smaller.…”
Section: Symmetry Violationmentioning
confidence: 99%
“…For decay (in free space and in-medium) presented in Ref. [28] to the present case, with the leading correction to the vector charge given by…”
Section: Modification Of the ∆S = 1 Vector Chargementioning
confidence: 99%
“…It is straightforward to generalise the calculation for neutron beta- decay (in free space and in-medium) presented in Ref. [28] to the present case, with the leading correction to the vector charge given by…”
Section: Modification Of the ∆S = 1 Vector Chargementioning
confidence: 99%