Neutron dynamics in ultra-strong electromagnetic fields: an example model
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Stanley A. Bruce
Abstract
This work is concerned with the relativistic quantum dynamics of a self-interacting neutron in the presence of an external ultra-strong electromagnetic (EM) field in a cylindrical inertial frame. We first regard the Dirac–Pauli (DP) Lagrangian to study the planar dynamics of a neutron polarized along the z-axis subjected to a confining external static EM field composed of a homogeneous magnetic field in the z-direction and a linear radial electric field in the polar plane. The corresponding discrete Landau energy levels are found. As a nonlinear (NL) example model, we introduce a 1-flavor Nambu Jona–Lasinio (NJL) mass term into the DP Lagrangian. The continuous ground-state Landau levels are determined. We readily obtain modified Maxwell’s equations associated with these levels. We consider a simple application of the model related to the dynamics of neutrons in the presence of strong-QED fields inside the surface of aligned neutron stars. We briefly comment on possible classical solitonic solutions of the model.
Funding source: Universidad de los Andes, Chile
Award Identifier / Grant number: FAI 12.20
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Research ethics: Not applicable.
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Author contributions: The author has accepted responsibility for the entire content of this manuscript and approved its submission.
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Competing interests: The author states no competing interests.
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Research funding: This work was supported by Universidad de Los Andes, Santiago, Chile, through grant FAI 12.20.
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Data availability: Not applicable.
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Atomic, Molecular & Optical Physics
- Computerized simulation of 2-dimensional phase contrast images using spiral phase plates in neutron interferometry
- Exact solutions of Pauli–Schrödinger equation for a particle with position dependent mass and magnetic momentum in a generalized Morse potential and magnetic field
- Dynamical Systems & Nonlinear Phenomena
- Wronskian solution, Bäcklund transformation and Painlevé analysis to a (2 + 1)-dimensional Konopelchenko–Dubrovsky equation
- Fundamental Concepts of Physical Science
- Axion-electrodynamics and the Poynting theorem
- Neutron dynamics in ultra-strong electromagnetic fields: an example model
- Hydrodynamics & Plasma Physics
- On oblique interaction of water waves with semi-infinite submerged elastic plate
- Laminar flow with temperature-dependent fluid properties between two stretching rectangular surfaces
- On the existence of simple waves for two-dimensional non-ideal magneto-hydrodynamics
- Impact of dilating forcing amplitudes on a peristaltically driven non-Newtonian fluid in an elastic tube: application to swallowing disorders
Artikel in diesem Heft
- Frontmatter
- Atomic, Molecular & Optical Physics
- Computerized simulation of 2-dimensional phase contrast images using spiral phase plates in neutron interferometry
- Exact solutions of Pauli–Schrödinger equation for a particle with position dependent mass and magnetic momentum in a generalized Morse potential and magnetic field
- Dynamical Systems & Nonlinear Phenomena
- Wronskian solution, Bäcklund transformation and Painlevé analysis to a (2 + 1)-dimensional Konopelchenko–Dubrovsky equation
- Fundamental Concepts of Physical Science
- Axion-electrodynamics and the Poynting theorem
- Neutron dynamics in ultra-strong electromagnetic fields: an example model
- Hydrodynamics & Plasma Physics
- On oblique interaction of water waves with semi-infinite submerged elastic plate
- Laminar flow with temperature-dependent fluid properties between two stretching rectangular surfaces
- On the existence of simple waves for two-dimensional non-ideal magneto-hydrodynamics
- Impact of dilating forcing amplitudes on a peristaltically driven non-Newtonian fluid in an elastic tube: application to swallowing disorders
