VECTOR-MESON INTERACTION HAMILTONIAN

The vector mesons are described in terms of the antisymmetric second-rank tensor field Tμν. The vector-meson-baryon interaction Lagrangian, LInt=12g1B̄σμνTμνB+ig2B̄γνμTμνB= 12JμνTμν+JνμTμν, gives the following interaction Hamiltonian, in the interaction representation: HInt=-LInt+14[(1mT2)JμνJμν+2JμJμ]+12[(1mT2) JμρJμσ+JρJσ]nρnσ. The normal dependent terms which appear in the S matrix vanish to any order in perturbation theory, and the S-matrix elements can be calculated by using the effective interaction Hamiltonian (HInt)eff=-LInt+14[(1mT2)JμνJμν+2JμJμ]. © 1969 The American Physical Society.