Abstract
Unitarity, analyticity, Regge asymptotic behavior, and a resonance approximation are combined to derive a new sum rule. The sum rule is very convergent; the contribution of high-mass resonances is suppressed by a decreasing weight function. The spin-flip and non-spin-flip residues of the meson in the amplitude are evaluated at the mass of the , and in conjunction with the first-moment finiteenergy sum rule, a calculation of the -meson mass is performed. The results are in good agreement with experiment. A calculation of the and resonance parameters in the amplitude is also discussed.
- Received 11 March 1968
DOI:https://doi.org/10.1103/PhysRev.171.1785
©1968 American Physical Society