Soft two-meson-exchange nucleon-nucleon potentials. I. Planar and crossed-box diagrams

Pion-meson-exchange nucleon-nucleon potentials are derived for two nucleons in the intermediate states. The mesons we include are (i) pseudoscalar mesons {pi},{eta}, and {eta}{sup {prime}}, (ii) vector mesons {rho}, {omega}, and {phi}, (iii) scalar mesons {ital a}{sub 0}(980), {var_epsilon}(760), and {ital f}{sub 0}(975), and (iv) the {ital J}=0 contribution from the Pomeron. Strong dynamical pair suppression is assumed, and at the nucleon-nucleon-meson vertices Gaussian form factors are incorporated into the relativistic two-body framework using a dispersion representation for the pion- and meson-exchange amplitudes. The Fourier transformations are performed using factorization techniques for the energy denominators. The potentials are first calculated in the adiabatic approximation to all planar and crossed three-dimensional momentum-space {pi}-meson diagrams. Next, we calculate the 1/{ital M} corrections. {copyright} {ital 1996 The American Physical Society.}