Abstract
A sum-rule approach to radiative pion capture is given for the self-conjugated nuclei in the 1p shell. The non-energy-weighted and the energy-weighted sum rules are evaluated for the full effective hamiltonian. Total branching ratios and mean photon energies are determined from these sum rules. A comparison with the Kroll-Rudermann approximation shows that the mean photon energies are practically unaffected, while the total branching ratios increases of the order of 10%.
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