Configuration mixing and the Gamow-Teller mirror asymmetry in mass 12 and mass 13

Using the Cornell nuclear interaction the author calculates the value of the asymmetry in mirror Gamow-Teller decay ft values which stems from the Coulomb interaction. Mass 12 and mass 13 systems are considered. The optimum values of the asymmetry delta =(ft)⁺/(ft)^--1 which arise from the Coulomb interaction are found to be delta =0.112+or-0.027 for mass 12 and delta =0.119+or-0.02 for mass 13, with upper limits of 0.148+or-0.004 and 0.166+or-0.007. These compare favourably with the experimental values of 0.115+or-0.009 for mass 12 and 0.166+or-0.026 for mass 13. Including the lack of mirror symmetry between ¹³N and ¹³C brings the optimum value for mass 13 to delta =0.148 with an upper limit of 0.195+or-0.017. The author concludes that the Coulomb interaction is sufficient to account for the observed asymmetry in both systems.