Study of the Klein--Gordon equation for a hydrogenic model of dyons

• URL: http://arxiv.org/abs/2210.16134v1
• Date: Fri, 28 Oct 2022 14:01:54 GMT
• Title: Study of the Klein--Gordon equation for a hydrogenic model of dyons
• Authors: Edison Fernando Garc\'ia Veloz and Clara Rojas
• Abstract summary: This article presents the generalization of a zero spin hydrogen atom to a relativistic atomic model of hydrogen with dyons. The derivation of the Klein--Gordon equation for the particle of relative motion is shown. The charge density of the orbiting dyon is presented.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This article presents the generalization of a zero spin hydrogen atom to a relativistic atomic model of hydrogen with dyons using the Klein--Gordon equation. The derivation of the Klein--Gordon equation for the particle of relative motion is shown. In addition, the analytical solutions of the equation are calculated in terms of Whittaker functions and Jacobi weighted polynomials. The discrete spectrum of energy, and the charge density of the orbiting dyon are presented. For a system of positive magnetic and electric charges in the nucleus and negative charges for the orbiting particle, and considering the first allowed values of $N$ and $l$, it was found that the dyon atom acts with a greater force of interaction between the charges of the nucleus and the secondary particle compared to the standard atom. It was obtained by comparing the distance between the nucleus and charge density concentrations from the dyon atom with the relativistic pionic atom.

Related papers

• Ultracold Neutrons in the Low Curvature Limit: Remarks on the post-Newtonian effects [49.1574468325115]
  We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime. We calculate the next-to-leading order corrections to the neutron's energy spectrum. While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
  arXiv  Detail & Related papers  (2023-12-30T16:45:56Z)
• Electron Dynamics in Neutron Scattering with Hydrogen Atoms [0.0]
  Changes in electron dynamics within the gas target have a negligible effect on dynamics of neutrons and protons. We propose a theoretical approach to obtain these parameters from the momentum spectrum of ionized electrons within a hydrogen atomic gas target.
  arXiv  Detail & Related papers  (2023-09-25T19:09:52Z)
• Hadronic vacuum polarization correction to the bound-electron $g$ factor [0.0]
  The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. In heavy ions, such effects are found to be much larger than for the free-electron $g$ factor.
  arXiv  Detail & Related papers  (2023-03-14T15:28:44Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Hadronic vacuum polarization correction to atomic energy levels [0.0]
  Shift of atomic energy levels due to hadronic vacuum polarization is evaluated in a semiempirical way for hydrogenlike ions and for muonic hydrogen. A parametric hadronic polarization function obtained from experimental cross sections of $e-e+$ annihilation into hadrons is applied to derive an effective relativistic Uehling potential.
  arXiv  Detail & Related papers  (2022-09-07T15:41:46Z)
• Nuclei with up to $\boldsymbol{A=6}$ nucleons with artificial neural network wave functions [52.77024349608834]
  We use artificial neural networks to compactly represent the wave functions of nuclei. We benchmark their binding energies, point-nucleon densities, and radii with the highly accurate hyperspherical harmonics method.
  arXiv  Detail & Related papers  (2021-08-15T23:02:39Z)
• Relativistic aspects of orbital and magnetic anisotropies in the chemical bonding and structure of lanthanide molecules [60.17174832243075]
  We study the electronic and ro-vibrational states of heavy homonuclear lanthanide Er2 and Tm2 molecules by applying state-of-the-art relativistic methods. We were able to obtain reliable spin-orbit and correlation-induced splittings between the 91 Er2 and 36 Tm2 electronic potentials dissociating to two ground-state atoms.
  arXiv  Detail & Related papers  (2021-07-06T15:34:00Z)
• Many-body theory for positronium scattering and pickoff annihilation in noble-gas atoms [0.0]
  Many-body-theory approach to positronium-atom interactions developed in [Phys. Rev. Lett. textbf120, 183402] is applied to the sequence of noble-gas atoms He-Xe. The Dyson equation is solved separately for an electron and positron moving in the field of the atom, with the entire system enclosed in a hard-wall cavity.
  arXiv  Detail & Related papers  (2021-05-14T10:17:16Z)
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state [77.34726150561087]
  Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
  arXiv  Detail & Related papers  (2020-12-15T17:08:33Z)
• Hyperfine and quadrupole interactions for Dy isotopes in DyPc$_2$ molecules [77.57930329012771]
  Nuclear spin levels play an important role in understanding magnetization dynamics and implementation and control of quantum bits in lanthanide-based single-molecule magnets. We investigate the hyperfine and nuclear quadrupole interactions for $161$Dy and $163$Dy nucleus in anionic DyPc$.
  arXiv  Detail & Related papers  (2020-02-12T18:25:31Z)
• Skyrme-type nuclear interaction as a tool for calculating the finite nuclear size correction to atomic energy levels and the bound-electron $g$ factor [0.0]
  A state-of-the-art approach for calculating the finite nuclear size correction to atomic energy levels and the bound-electron $g$ factor is introduced and demonstrated.
  arXiv  Detail & Related papers  (2020-02-06T12:38:31Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.