A Two Potential Formula and its Application to Proton-Proton Scattering

Abstract

Within the framework of potential scattering theory we derive an analytical two-potential formula for the on-shell partial wave scattering amplitude. This formula embodies a large number of possible applications, including long range Coulomb forces as well as short distance singular potentials. As an example illustrating the use of the formula we analyze the determination of the strong proton-proton scattering s-wave phase shift from the experimentally determined Coulomb phase when the one pion exchange and two pion exchange chiral potentials are taken into account and analyze the relevant scales of the problem.

10 pages, 2 figures (updated version)

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Cited by in corpus (5)

• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• The renormalisation group and nuclear forces
• Renormalization of chiral two pion exchange NN interactions with delta excitations: correlations in the partial wave expansion
• Constraining the neutron-neutron scattering length with \eftnopi
• Nucleon-Nucleon interaction, charge symmetry breaking and renormalization