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A. Suri: to be published.
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The integration constant cannot arbitrarily be set equal to zero since σ V (ā,±1)=0 (see eq. (5)).
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This sum rule is the electroproduction counterpart to the Adler sum rule and indeed\(\int\limits_0^\infty {dvW_2 (q^2 ,v) = 1} \) to second order ing. However, Fig. 1b) gives a contribution toW 2 which is a function ofs=q 2+2ν+m 2 and therefore\(\int {dvW_2 \ne } \int {\left( {d\omega /\omega } \right)F_2 \left( \omega \right)} \). SeeJ. M. Cornwall, D. Corrigan andR. E. Norton:Phys. Rev. D,3, 536 (1971);P. M. Fishbane andD. Z. Freedman:Phys. Rev. D,5, 2582 (1972).
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Supported in part by the National Science Foundation Grant No. GP-32998X.
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Genova, J. Comments on an electroproduction sum rule. Lett. Nuovo Cimento 7, 615–620 (1973). https://doi.org/10.1007/BF02728037
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DOI: https://doi.org/10.1007/BF02728037