Abstract
The total isotopic spin operator and its square are determined for the quantized nucleon-antinucleon field. In the customary configuration space representation, it is found that in the formula for the total isotopic spin of a system of nucleons and antinucleons, the antinucleons contribute terms with the transposed negatives of the $\ensuremath{\tau}$ operators replacing the corresponding $\ensuremath{\tau}'\mathrm{s}$. The form that has been usually anticipated is found only after a suitable canonical transformation. The results are specifically applied to a two-particle system consisting of a nucleon and an antinucleon.Expressions are also obtained for the isotopic spin dependence of the ratio of elastic charge exchange to elastic noncharge exchange scattering of an antiproton by a proton, and, of the ratio of elastic noncharge exchange scattering of an antiproton by a neutron and by a proton. These are discussed and evaluated under certain simplifying assumptions.
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