Neutron dynamics in ultra-strong electromagnetic fields: an example model

Author:

Bruce Stanley A.1ORCID

Affiliation:

1. Complex Systems Group, Facultad de Ingenieria y Ciencias Aplicadas , 28060 Universidad de Los Andes , Santiago , Chile

Abstract

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.

Funder

Universidad de los Andes, Chile

Publisher

Walter de Gruyter GmbH

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