The electric dipole form factor of the nucleon

Abstract

The electric dipole form factor of the nucleon stemming from the QCD $\bar{\theta }$ term is calculated in chiral perturbation theory in leading order. To this order, the form factor originates from the pion cloud. Its momentum-dependence is proportional to a non-derivative time-reversal-violating pion-nucleon coupling, and the scale for momentum variation--appearing, in particular, in the radius of the form factor--is the pion mass.

8 pages, 2 figures

References in corpus (7)

• Chiral Dynamics in Nucleons and Nuclei
• The form factors of the nucleon at small momentum transfer
• The electric dipole moment of the neutron in chiral perturbation theory
• The anapole form factor of the nucleon
• The Nucleon Anapole Form Factor in Chiral Perturbation Theory to Sub-leading Order
• Electromagnetic Contributions to the Schiff Moment
• Chiral Estimates of Strong CP Violation Revisited

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• Confirming the Existence of the strong CP Problem in Lattice QCD with the Gradient Flow
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• New insights into the neutron electric dipole moment
• Baryon mass splittings and strong CP violation in SU(3) Chiral Perturbation Theory
• The Effective Chiral Lagrangian From the Theta Term
• The Nucleon Electric Dipole Form Factor From Dimension-Six Time-Reversal Violation
• The Electric Dipole Form Factor of the Nucleon in Chiral Perturbation Theory to Sub-leading Order
• Baryon electric dipole moments from strong CP violation
• Parity- and Time-Reversal-Violating Form Factors of the Deuteron
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• Nuclear Electric Dipole Moment of 3He
• Nucleon Electric Dipole Moments and the Isovector Parity- and Time-Reversal-Odd Pion-Nucleon Coupling
• Violations of discrete space-time symmetries in chiral effective field theory
• Neutron electric dipole moment using $N_f=2+1+1$ twisted mass fermions
• The nucleon electric dipole moment with the gradient flow: the $\theta$-term contribution
• Contribution of the QCD $\Theta$-term to nucleon electric dipole moment
• Neutron electric dipole moment using lattice QCD simulations at the physical point
• Discrete Symmetries on the Light Front and a General Relation Connecting Nucleon Electric Dipole and Anomalous Magnetic Moments
• P-odd and CP-odd Four-Quark Contributions to Neutron EDM
• The neutron electric dipole form factor in the perturbative chiral quark model
• Theta dependence in Holographic QCD
• Indirect Signs of the Peccei-Quinn Mechanism
• Limits on $CP$-violating hadronic interactions and proton EDM from paramagnetic molecules
• Finite-volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current from the QCD vacuum angle
• Toroidal Quadrupole Form Factor of the Deuteron
• Strong CP violation and the neutron electric dipole form factor
• CP-violation in Compton scattering
• Topics in Effective Field Theory for Lattice QCD
• Electric dipole moments of three-nucleon systems in the pionless effective field theory
• Strong CP Violation and large-$N_c$ spin-flavor symmetry
• P- and T-violating $\pi NN$ form factor
• Radiative Mechanism to Light Fermion Masses in the MSSM
• Exploring CP Violation beyond the Standard Model and the PQ Quality with Electric Dipole Moments
• Electric Dipole Moments of Light Nuclei from Chiral EFT
• Parity- and Time-Reversal-Violating Moments of Light Nuclei