Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation

Abstract

We derive the leading two-pion exchange contributions to the two-nucleon electromagnetic current operator in the framework of chiral effective field theory using the method of unitary transformation. Explicit results for the current and charge densities are given in momentum and coordinate space.

19 pages, 1 figure

References in corpus (50)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Effective Field Theory for Few-Nucleon Systems
• The two-nucleon system at next-to-next-to-next-to-leading order
• Three-Nucleon Forces from Chiral Effective Field Theory
• The Two-Nucleon Potential from Chiral Lagrangians
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Meson production in nucleon--nucleon collisions close to the threshold
• Nuclear forces in the chiral limit
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Chiral Dynamics and Heavy-Fermion Formalism in Nuclei: I. Exchange Axial Currents
• Ground-state energy of pionic hydrogen to one loop
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Electron and Photon Scattering on Three-Nucleon Bound States
• Electromagnetic two-body currents of one- and two-pion range
• Four-nucleon force in chiral effective field theory
• Low-energy expansion of the pion-nucleon Lagrangian
• Delta-excitations and the three-nucleon force
• Four-nucleon force using the method of unitary transformation
• Neutral pion photoproduction on deuterium in baryon chiral perturbation theory to order q^4
• Precision calculation of $\gamma d\to {\pi }^{+}nn$ within chiral perturbation theory
• Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• The ${\mu }^{-}d$ capture rate in effective field theory
• Higher-order calculations of electron-deuteron scattering in nuclear effective theory
• Elastic electron-deuteron scattering in chiral effective field theory
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• Chiral effective theory predictions for deuteron form factor ratios at low Q^2
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• Effective Field Theory Approach To \vec{n} + \vec{p} -> d + γAt Threshold
• A Consistent Meson-Field-Theoretical Description of PP-Bremsstrahlung
• Delta Effects in Pion-Nucleon Scattering and the Strength of the Two-Pion-Exchange Three-Nucleon Interaction
• Using chiral perturbation theory to extract the neutron-neutron scattering length from pi- d -> n n gamma
• The Solar $Hep$ Process
• Deuteron form factors in chiral effective theory: regulator-independent results and the role of two-pion exchange
• Isospin-breaking two-nucleon force with explicit Delta-excitations
• Effective field theory approach for the M1 properties of A=2 and 3 nuclei
• Improved analysis of neutral pion electroproduction off deuterium in chiral perturbation theory
• Near threshold neutral pion electroproduction on deuterium in chiral perturbation theory
• Analyzing the Effects of Neutron Polarizabilities in Elastic Compton Scattering off ${}^3$He
• On neutral pion electroproduction off deuterium
• Predictions for Polarized-Beam/Vector-Polarized-Target Observables in Elastic Compton Scattering on the Deuteron
• Orthonormalization procedure for chiral effective nuclear field theory

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