CPviolation in left-right-symmetric gauge theories and possible existence of absolutely stable hadrons

Abstract

The question of independent $\mathrm{CP}$-violating phases is analyzed within the framework of left-right-symmetric $\mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_L\otimes \mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_R\otimes \mathrm{U}\mathrm{}\left(1\right)\mathrm{}$ gauge theories. Constraints on the $\mathrm{CP}$-violating phases resulting from particular choices of symmetry breaking are discussed. Their implications for the $\mathrm{CP}$-violation model suggested earlier by Mohapatra and Pati are noted. It is pointed out that in models with more than four quarks, the relation between the magnitudes of the $\mathrm{CP}$-violating parameter ${\eta }_{+-}$ and parity-violation parameter ${\left(\frac{M_{W_L^{\pm }}}{M_{W_R^{\pm }}}\right)}^2$ noted in the above paper can be maintained provided there is no mixing between heavier and lighter quarks. This leads to an island of stable and quasistable high-mass hadrons.