Sum Rules for Photodisintegration of the Deuteron

Abstract

The experimental total cross section for photodisintegration of the deuteron is integrated numerically to 155 Mev for three moments of the curve weighting with $W^{-1\mathrm{}}$, 1 and $W$, respectively: the bremsstrahlung-weighted cross section, the integrated cross section, and $\overline{W}{\sigma }_{\mathrm{int}}$. The integrated cross section is compared with the phenomenological sum-rule calculation, and also with the dispersion-theoretic calculation; all three values are in reasonable agreement, giving an integrated cross section about 30 percent higher than that of 30 Mev-mb for the Thomas-Reiche-Kuhn dipole sum rule. There is good agreement between the experimental value of 3.9 mb and the phenomenological calculation of 3.78 mb for the bremsstrahlung-weighted cross section.