Abstract
The self-consistent random phase approximation (RPA) approach with the residual interaction derived from a relativistic point-coupling energy functional is applied to evaluate the isospin symmetry-breaking corrections δ c for the 0+ → 0+ superallowed Fermi transitions. With these δ c values, together with the available experimental f t values and the improved radiative corrections, the unitarity of the Cabibbo-Kobayashi-Maskawa (CKM) matrix is examined. Even with the consideration of uncertainty, the sum of squared top-row elements has been shown to deviate from the unitarity condition by 0.1% for all the employed relativistic energy functionals.
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Li, Z., Yao, J. & Chen, H. Superallowed Fermi transitions in RPA with a relativistic point-coupling energy functional. Sci. China Phys. Mech. Astron. 54, 1131–1136 (2011). https://doi.org/10.1007/s11433-011-4320-2
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DOI: https://doi.org/10.1007/s11433-011-4320-2