Renormalization of one meson exchange potentials and their currents

Abstract

Abstract.The Nucleon-Nucleon One Meson Exchange Potential, its wave functions and related Meson Exchange Currents are analyzed for point-like nucleons. The leading N c contributions generate a local and energy independent potential which presents 1/r 3 singularities, requiring renormalization. We show how invoking suitable boundary conditions, neutron-proton phase shifts and deuteron properties become largely insensitive to the nucleon substructure and to the vector mesons. Actually, reasonable agreement with low energy data for realistic values of the coupling constants (e.g. SU (3) values) is found. The analysis along similar lines for the Meson Exchange Currents suggests that this renormalization scheme implies tremendous simplifications while complying with exact gauge invariance at any stage of the calculation.

Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules

“…It is also heavier than the vector mesons: the ratio of the masses of the axial and rho mesons, m a1 and m ρ , is m a 1 /m ρ ∼ 1.6. In fact it is even heavier than the nucleon and its influence on the description of the nuclear force has turned out to be rather limited [18]. However this is not necessarily the case for heavy hadrons: on the one hand, they are heavier than axial mesons and nucleons, and on the other vector meson exchange cancels out in a few specific molecular * mpavon@buaa.edu.cn configurations, which increases the relative importance of the axial meson.…”