Nucleon-nucleon scattering is studied for laboratory scattering energies over the 0 to 320-MeV range for states with angular momentum l> 1. Our central hypothesis is that the interaction may be represented by a series of one-boson-exchange potentials. To this end, we attempt to fit the phenomenological models of Lassila et al. (Yale) and of Hamada and Johnston with the series of one-boson-exchange potentials due to the p, Co, ir, and 7], with the meson-nucleon coupling constants taken as adjustable parameters. We find that additional attraction is required in the central potentials, and we provide this by introducing two scalar mesons of isotopic spin 0 to 1, respectively. We next consider the nucleon-nucleon phase shifts that have been determined through phase-shift analysis of the N-N data by several groups. We achieve reasonable fits to the P, D, and F states with the following searched parameters: g" 2 = 7.0, g 7r 2 =11.7, gj = 21.5, g p 2 =0.68, f p /g p = 1.8, ra 0 = 560 MeV, go 2 = 9.4, mi = 770 MeV, and gi 2 = 6.5; the parameters of the T = 0 and T=l scalar mesons are identified by the subscripts 0 and 1, respectively, and £mt (p) = (^r) ll2 g P^y^9 ,+ ^7ryiHf P /2m p )^a^ld v9tl -a M p,].Predetermined parameters are m p = 760 MeV, m a = 782 MeV, m v = 138.2 MeV, m v =548 MeV, and f a /g u = 0. Because of the r~3 behavior of the potentials at the origin, all potentials are set to zero within 0.6 F. This has (surprisingly) little effect in most states but does eliminate bound 3 P 2 and 3 F 4 states. The effect of including the and the relation to other experiments is discussed.