The strong $ρNN$ coupling derived from QCD

Abstract

We study the two point correlation function of two nucleon currents sandwiched between the vacuum and the rho meson state. The light cone QCD sum rules are derived both for $ρNN$ vector and tensor couplings simultaneously. The contribution from the excited states and the continuum is subtracted cleanly through the double Borel transform with respect to the two external momenta, $p_1^2$, $p^2_2=(p-q)^2$. Our results are $g_ρ=(2.5\pm 0.2)$, $κ_ρ=(8.0\pm 2.0), in good agreement with the values used in the nuclear forces.

Several references and discussion of final results added, final version to appear in Phys. Rev. C