The spectrum of 52V is studied with the Kuo-Brown (KB) renormalized interaction and with Vervier's interactions. Wave functions of isobaric analogue states (IAS) in 52Cr are generated from 52V wave functions. Wave functions of low-lying levels of 52Cr are obtained by a shell model calculation with the KB interaction and with the phenomenological effective interaction of Lips and McEllistrem. Electromagnetic decay of IAS to low-lying states via the isovector part of the transition operator is considered. Transition rates are first calculated by assuming that the final state configurations do have the proper isospin. A projection operator is defined in isospace to construct basis states having the proper isospin, starting with excited configurations of 52Cr which do not have well-defined isospin. Two methods — diagonalization after projection and projection after diagonalization — are developed in which the definite isospin of basis states can be handled.
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