Nucleon contribution to the induced charge of neutrinos in a matter background and a magnetic field

Abstract

We study the nucleon contribution to the electromagnetic vertex function of neutrinos that propagate in a matter background in the presence of a magnetic field. Starting from the one-loop expression for the corresponding terms of the vertex function, and taking into account the anomalous magnetic coupling of the nucleons, we calculate the B-dependent part of the form factors that determine the induced charge of the neutrino. A formula for the neutrino induced charge is obtained, and it is evaluated for various illustrative situations. The terms due to the nucleons can be important in some cases, depending on the physical conditions of the environment.

arXiv commentrevtex4, 13 pages. Contains the minor revisions made in the prd accepted version

References in corpus (20)

• Velocities of pulsars and neutrino oscillations
• Neutral current induced neutrino oscillations in a supernova
• Neutrino Conversions in a Polarized Medium
• Pulsar kicks from neutrino oscillations
• Neutrino Dispersion in Magnetized Media and Spin Oscillations in the Early Universe
• Cherenkov radiation by massless neutrinos in a magnetic field
• Induced Charge of Neutrinos in a Medium
• Large-scale magnetic field generation by alpha-effect driven by collective neutrino-plasma interaction
• Neutrino propagation in a medium with a magnetic field
• Chirality-preserving neutrino oscillations in an external magnetic field
• Neutrino self-energy and dispersion in a medium with magnetic field
• The Electric Charge of Neutrinos and Plasmon Decay
• Optical Activity of a Neutrino Gas
• Comment on "Pulsar Velocities and Neutrino Oscillations"
• Effective Neutrino Photon Interaction in a Magnetized Medium
• Nucleon contribution to the neutrino electromagnetic vertex in matter
• Plasma wave instabilities induced by neutrinos
• Reply to Comment on "Pulsar velocities and neutrino oscillations"
• The electromagnetic vertex of neutrinos in an electron background and a magnetic field
• Electromagnetic properties of a neutrino stream

Cited by in corpus (8)

• Sterile neutrinos: the dark side of the light fermions
• Effect of external magnetic field on nucleon mass in hot and dense medium : Inverse Magnetic Catalysis in Walecka Model
• Neutrino Electromagnetic Form Factors Effect on the Neutrino Cross Section in Dense Matter
• Electromagnetic effects of neutrinos in an electron gas
• Perturbative vs Schwinger-propagator method for the calculation of amplitudes in a magnetic field
• ${\rho }^0-\omega$ mixing in the presence of a weak magnetic field
• Neutrino dispersion relation in a magnetized multi-stream matter background
• Neutrino oscillations, and the origin of pulsar velocities and dark matter