Hadronic potentials from effective field theories

Abstract

We construct the potentials that describe the spectrum and decay of electromagnetic bound states of hadrons, and are consistent with ChPT. These potentials satisfy the matching condition which enables one to express the parameters of the potential through the threshold scattering amplitudes calculated in ChPT. We further analyze the ambiguity in the choice of the short-range hadronic potentials, which satisfy this matching condition.

37 pages, 6 postscript figures, uses REVTEX style

References in corpus (5)

• Complete analysis of pion-nucleon scattering in chiral perturbation theory to third order
• Decays of the pi+ pi- atom
• piN scattering and electromagnetic corrections in the perturbative chiral quark model
• Electromagnetic couplings of the ChPT Lagrangian from the perturbative chiral quark model
• New light on electromagnetic corrections to the scattering parameters obtained from experiments on pionium

Cited by in corpus (6)

• Ground-state energy of pionic hydrogen to one loop
• Lifetime of Kaonium
• The pion-nucleon scattering lengths from pionic deuterium
• Short-Range Hard-Sphere Potential and Coulomb Interaction: Deser-Trueman Formula for Rydberg States of Exotic Atomic Systems
• Bound Deuteron-Antideuteron System (Deuteronium): Leading Radiative and Internal-Structure Corrections to Bound-State Energies
• Electromagnetic corrections to ${\pi }^{-}$p scattering length from pionic hydrogen