Test of Peripherality forN−NScattering

Abstract

A semiquantitative test of peripherality in nucleon-nucleon scattering (up to 425 MeV lab kinetic energy) is carried out, using meson-nucleon coupling constants obtained from experiments other than nucleon-nucleon scattering. The model used is a pole model, plus a $2\pi$-exchange contribution, with geometric unitarization. The results show that a series of exchanges of increasingly larger masses gives an increasingly better description of the middle Taketani region ($0.7 \mathrm{F}<r\le 2 \mathrm{F}$). The series of exchanges considered is $\pi$ exchange, $\pi +2\mathrm{}\pi$ exchange, and $\pi +2\mathrm{}\pi +\rho +\omega$ exchange. The exchange of $\pi +2\mathrm{}\pi +\rho +\omega +\epsilon$ (715) is also considered, and an estimate is derived for the coupling constant ${g_{\mathrm{NN}\epsilon }}^2$, assuming a width of ${\Gamma }_{\epsilon }=370\mathrm{}$ MeV.