Microscopic calculations of isospin mixing in N~Z nuclei and isospin-symmetry-breaking corrections to the superallowed beta-decay

Abstract

Recently, we have applied for the first time the angular momentum and isospin projected nuclear density functional theory to calculate the isospin-symmetry breaking (ISB) corrections to the superallowed beta-decay. With the calculated set of the ISB corrections we found |V_{ud}|=0.97447(23) for the leading element of the Cabibbo-Kobayashi-Maskawa matrix. This is in nice agreement with both the recent result of Towner and Hardy [Phys. Rev. {\bf C77}, 025501 (2008)] and the central value deduced from the neutron decay. In this work we extend our calculations of the ISB corrections covering all superallowed transitions A,I^\pi=0^+,T=1,T_z \rightarrow A,I^\pi=0^+,T=1,T_z+1 with T_z =-1,0 and A ranging from 10 to 74.

Comments: Invited talk presented by WS at the Nordic Conference on Nuclear Physics, June 13-17, 2011, Stockholm, Sweden; Accepted for publication in Physica Scripta, Figure 1 has been corrected