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 π,η, and ${\mathrm{\eta }}^{\prime }$, (ii) vector mesons ρ, ω, and φ, (iii) scalar mesons ${\mathit{a}}_0$(980), ɛ(760), and ${\mathit{f}}_0$(975), and (iv) the 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 π-meson diagrams. Next, we calculate the 1/M corrections. © 1996 The American Physical Society.