Neutrino or Electron Energy Needed for Testing Current Commutation Relations

Abstract

For small leptonic invariant 4-momentum transfer g 2 , we investigate what minimum neutrino or electron energy is needed to test current commutation relations. We find that at laboratory energies of order 5 BeV, it is reasonable to start trying to check the equalities or inequalities implied by the current algebra.The AH 3 binding energy is calculated by finding the pole in the A-d doublet 5-wave scattering amplitude. This amplitude is obtained from a multiple-scattering formalism of the Faddeev type. Each of the two-body interactions was represented as a sum of an attractive and a repulsive S-wave nonlocal separable potential of the Yamaguchi form. The A-N potentials were chosen to fit the scattering lengths and effective ranges obtained by Herndon, Tang, and Schmid (HTS) in a variation calculation. The N-N potential was adjusted to fit the deuteron binding energy and the triplet scattering length. Calculations with several sets of values for the free parameters are carried out. By making the A-N repulsive strengths infinite, fixing all three repulsive potential ranges at 0.2 F, and varying the range of the N-N attractive potential, a value for the AH 3 binding energy that agrees with that of the HTS calculation is obtained.

Sum rules for radiative and strong decays of heavy mesons

“…Previous experience with the Cabibbo-Radicati sum rule [23][24][25] suggests that the saturation region includes states with an excitation energy of the order of a few GeV. Inserting…”

“…Previous experience with the Cabibbo-Radicati sum rule [23][24][25] suggests that the saturation region includes states with an excitation energy of the order of a few GeV. Inserting (8-10) into ( 4) with an upper cutoff of 1 GeV gives for the continuum contribution on the r.h.s.…”

High-Energy Contributions to Current-Algebra Sum Rules. II

“…Thus, the discrepancy is -273 fib, whereas in Ref. 9 it is found to be about -300 /ib, which is quite close. The major contribution to the low-energy integral comes from singlepion-photoproduction cross sections.…”

Kinematics and Saturation of the Sum Rules and Inequalities for Inelastic Electron-Nucleon Scattering

“…Such arguments, of course, apply only to subtraction con-21 The extra factor of (l-qo/E+qo^/lE^) is related to the fact that the authors of Ref. 16 were interested in the convergence of da(p-}-N)/dq^-d (T(v-\-N)/dq^ and the extra factor comes from the connection of the double differential cross section to a and (3, Eq. (6).…”

“…Rev. 163, 1767(1967. 6 J. D. Bjorken, talk given at the 1967 International Symposium on Electron and Photon Interactions at High Energies, Stanford Linear AcceleratorCenter, 1967 (unpublished).…”