Nucleon-Nucleon and Pion-Nucleon Potentials from Phase Shifts using Quantum Inversion
Abstract
NN and Pi-N partial wave radial potentials have been generated using the latest SM94-VPI(NN) and FA93-VPI(Pi-N) phase shifts. The potentials are used to determine the deuteron properties and to compute the 3H and 3He binding energies. The e1 mixing angles of SM94-VPI and NY93-Nijmegen differ significantly and inversion potentials yield a Pd of 6.37% and 5.78%, respectively. Underbinding of 3H and 3He is enhanced by SM94, which signals more nonlocality and/or three-body potential effects than predicted from Nijmegen phase shifts and boson exchange models. The local pion-nucleon S31, P31 and P33 channel potentials have been generated for guidance and to obtain a quantitative impression in r-space of what the Pi-N FA93-VPI phase shifts imply.
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