Symmetry Predictions from Sum Rules without Saturation
Abstract
The application of sum rules derived from current commutation relations to give SU(6)like results is developed without the assumption of saturation. We first derive a consistency condition by comparing sum rules, and then study the sum rules for 1gA2 and the isovector charge radii, replacing the assumption of saturation with a simple dynamical model for the remaining continuuum contribution. This results in several SU(6)like predictions which contain important correction factors to the results previously derived assuming saturation. We have also reexamined the experimental data for the sum rule for <rN2>^{V}6, and find that it converges below 1 GeV like the sum rule for 1gA2 when account is taken of the contribution to the sum rule of the large resonant M_{1+} and nonresonant E_{0+} multipoles in pion photoproduction, and of the N^{**}(1520).
 Publication:

Physical Review
 Pub Date:
 October 1966
 DOI:
 10.1103/PhysRev.150.1362
 Bibcode:
 1966PhRv..150.1362G