The effect on the hadron propagators due to k μ k ν terms in the vector meson propagator

The effect on the hadron propagators due to k µ k ν terms in the vector meson propagator Abstract In an approximation where the baryon current conservation is violated , the contribution of the k µ k ν terms in the vector meson propa-gator may not vanish. Their effects on the baryon and meson spectral functions and on the consequences of self-consistency are studied in the relativistic self-consistent Hartree-Fock approximation by means of the σ − ω as well as the π − ω model. Two cases where the k µ k ν terms are and are not neglected are compared. It is found that there is a marked change in the baryon spectral function which becomes more peaked in the latter case. Such a change remains even by a proper readjustment of parameters. The effects of self-consistency in the σ−ω model are qualitatively the same in both cases, though quantitatively there is some significant difference. However, in the π − ω model the effects of self-consistency suffer a great change. The self-consistent requirement is necessary, if the k µ k ν terms are taken into account.