by a second proton emitted from an excited state in $^{21}Na$. If we consider each transition individually, weak branching ratios are obtained. Only one transition could be measured by our setup and corresponds to a branching ratio of 0.84% for a total proton energy of $4.215$ MeV for a $4^+$ ground state of $^{22}Al$. However, our setup can not distinguish between transitions to different intermediate states in $^{21}Na$. The measured energy is simply the difference between the initial state in $^{22}Mg$ and the final state in $^{20}Ne$. Thus the branching ratios of the transitions from the same initial state to the same final state were summed and tabulated in table \[tab:cal\_br\_2p\]. For both cases, the two transitions which can be detected are emitted from the calculated IAS in $^{22}Mg$ to the $^{20}Ne$ ground state and to the $^{20}Ne$ first excited state. In the $4^+$ case, the transition to the ground state is weaker than the transition to the first excited state while the opposite is calculated for the $3^+$ case.

  ------- --------- ------- ------------ ----------------
           Initial   Final   Transition       Br(%)
   $4^+$    13910      0        5980           0.26
            13910    1765       4215           1.19
            13910    4206       1774      1.30 $10^{-2}$
   $3^+$    14101      0        6171           0.61
            14101    1765       