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Structure model of the elementary charge

Conference · · Hadronic J.; (United States)
OSTI ID:6697576
I formulate the hypothesis that the electrostatic interaction between two electrons, two positrons, or one electron and one positron is explicitly dependent on time according to a pulsating behavior with period T = 0.829 x 10/sup -20/ sec. The hypothesis is motivated by the need to bypass a number of technical difficulties for a deeper understanding of the process e/sup +/ + e/sup -/ ..-->.. 2..gamma.., such as the fact that current relativistic treatments, including retarted and advanced potentials, of one electron and one positron at rest with respect to each other and at small mutual distances produce a null total electromagnetic field, while the total field of two photons is not null. An initial treatment of the hypothesis is presented at the level of the time-dependent perturbation theory. It is shown that, upon selection of a suitable functional form, the time dependence is ignorable for periods of time large compared to 10/sup -20/ sec, as well as for the electrostatic interactions of one electron with a cluster of elementary charges (e.g., a proton). A generalization of the Coulomb law is thus achieved in such a way as to reproduce the conventional law either for large values of time or for large collections of elementary charges. The generalization is based on a structure model of the electron charge, in the sense that the charge emerges as derived, via time averages, from structure data of the electron. A generalization of Rutherford's cross section is also identified in which, again, the departures from the conventional form become ignorable for large values of time or for large collections of elementary charges. The possibilities for experimental tests of the prediction of the paper are briefly indicated via the use of (a) resonance effects; (b) more accurate measurements of cross sections; and (c) suitable refinements of the experimental information on the positronium.
Research Organization:
Inst. for Basic Research, Cambridge, MA
DOE Contract Number:
AC02-80ER10651
OSTI ID:
6697576
Report Number(s):
CONF-8008162-
Conference Information:
Journal Name: Hadronic J.; (United States) Journal Volume: 4:3
Country of Publication:
United States
Language:
English