Orthonormalization procedure for chiral effective nuclear field theory

Abstract

We show that the Q-box expansion of nuclear many-body physics can be applied in nuclear effective field theory with explicit pions and external sources. We establish the corresponding power counting and give an algorithm for the construction of a hermitean and energy-independent potential for arbitrary scattering processes on nucleons and nuclei to a given order in the chiral expansion. Various examples are discussed in some detail.

22 pp, 12 figs

References in corpus (9)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Three-Body Interactions Among Nucleons and Pions
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Meson production in nucleon--nucleon collisions close to the threshold
• The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
• The role of the nucleon recoil in low--energy meson--nucleus reactions
• Does The 3N-Force Have A Hard Core?
• Iterative Solution for Effective Interactions in a System with Non-degenerate Unperturbed Energies

Cited by in corpus (7)

• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Nuclear Currents in Chiral Effective Field Theory
• The pion-nucleon scattering lengths from pionic deuterium
• Effective Field Theory calculations of $NN\to NN\pi$
• Box diagram contribution to the axial two-nucleon current