Abstract
A complete theoretical study is carried out of the beta decays of the12B and12N ground states to the12C ground state. We calculated the form factor coefficientsFKLsN(ke, m, n, ρ) using the Cohen-Kurath wave functions. In particular, we obtained reasonable values for the form factor coefficientsAF1010 andvF1110 whose ratio contains the influence of the weak magnetism coupling constant. It is shown that in this way the measurements of the shape factors presented by Wu and coworkers can be explained. In addition, it is demonstrated that the contribution of the term proportional to (WR)2 cannot be completely neglected because of the large end point energyW0. From our value ofvF1110 we have derived the radiative widthΓγ(M1) of the isobaric analogγ transition from the excited state12C* to the ground state of12C. The result is in good agreement with the experimental data.
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