IS IT POSSIBLE TO CONSERVE ELECTRIC CHARGE WITHOUT SEPARATELY CONSERVING BARYONIC NUMBER AND LEPTONIC NUMBER?

Abstract

Charges that are sources of fields must be universally conserved. Any quantity which is proved to be violated in certain circumstance cannot be a source of field. To account for the asymmetry of our Universe baryon number A has to be violated; thus A cannot be a charge. We postulate a new interaction, matter creation, with (A–L) as charge and Z * as messenger. Conservation of (A–L) instead of (3A–L) suggested by Sakharov is deduced on the one hand from observational facts (our Universe is both material and neutral) and on the other hand from the generalized Gell-Mann and Nishijima formula. Conservation of (A–L) forbids neutrinoless double beta decay and neutron antineutron oscillations. The union of four interactions — electromagnetism, the MC interaction, the weak interaction and the strong interaction — considered as the product U(1) × U(1) × SU(2) × SU(3) would account for available experimental and observational data. Observation of processes violating baryon number conservation would be of great interest in falsifying this suggestion.