Anapole Dark Matter Quantum Mechanics
High Energy Physics - Theory
2020-01-29 v3 High Energy Physics - Phenomenology
Abstract
The dynamics of an anapole seen as dark matter at low energies is studied by solving the Schr\"odinger-Pauli equation in a potential involving Dirac-delta and its derivatives in three-dimensions. This is an interesting mathematical problem that, as far as we know, has not been previously discussed. We show how bound states emerge in this approach and the scattering problem is formulated (and solved) directly. The total cross section is in full agreement with independent calculations in the standard model.
Cite
@article{arxiv.1909.04073,
title = {Anapole Dark Matter Quantum Mechanics},
author = {J. Gamboa and F. Mendez and N. Tapia},
journal= {arXiv preprint arXiv:1909.04073},
year = {2020}
}
Comments
One formula and two paragraphs emphasizing physical interpretation are added. To be published in PRD