Hadronic vacuum polarization effect in muonic atoms

• URL: http://arxiv.org/abs/2509.01311v1
• Date: Mon, 01 Sep 2025 09:50:42 GMT
• Title: Hadronic vacuum polarization effect in muonic atoms
• Authors: Zoia A. Mandrykina, Moritz Thierfeld, Natalia S. Oreshkina,
• Abstract summary: The magnitude of HVP corrections increases with nuclear charge.<n>Despite strong relativistic effects at high $Z$, the ratio of hadronic to muonic vacuum polarization remains remarkably stable.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The hadronic vacuum polarization (HVP) corrections to energy levels in muonic atoms are studied systematically across the periodic table. Two nuclear charge distribution models have been considered, with partly analytical solution for an homogeneously charged sphere model and direct numerical integration for a Fermi nuclear charge distribution. Our comparison reveals a good agreement between both approaches with differences typically below a few percent. The magnitude of HVP corrections increases with nuclear charge, displaying irregularities that correlate directly with the non-monotonic behavior of nuclear radii. Despite strong relativistic effects at high $Z$, the ratio of hadronic to muonic vacuum polarization remains remarkably stable, deviating by less than $10\%$ from the established $67\%$ non-relativistic benchmark value

Related papers

• Optical lattice quantum simulator of dynamics beyond Born-Oppenheimer [45.29832252085144]
  We propose a platform based on ultra-cold fermionic molecules trapped in optical lattices to simulate nonadiabatic effects.<n>We benchmark our proposal by studying the scattering of an electron or a proton against a hydrogen atom.
  arXiv  Detail & Related papers  (2025-03-30T14:46:26Z)
• Analytical Correlation in the H$_{2}$ Molecule from the Independent Atom Ansatz [49.1574468325115]
  The total energy functional correctly dissociates the H-H bond and yields absolute errors of 0.002 $rA$, 0.19 eV, and 13 cm-1$ relative to experiment at the tight binding computational cost. The chemical bond formation is attributed to the Heitler-London resonance of quasi-orthogonal atomic states with no contributions from kinetic energy or charge accumulation in the bond.
  arXiv  Detail & Related papers  (2024-05-20T21:21:42Z)
• Full leading-order nuclear polarization in highly charged ions [0.0]
  Nuclear excitation spectrum is calculated by means of the Hartree-Fock-based random-phase approximation. The effective Skyrme force is used to describe the interaction between nucleons. The formalism predicts two contributions given by the effective vacuum-polarization and self-energy diagrams.
  arXiv  Detail & Related papers  (2024-01-11T13:25:40Z)
• Coherent postionization dynamics of molecules based on adiabatic strong-field approximation [19.511162213396965]
  We study the post-ionization dynamics of molecules in strong laser fields using a density matrix method for open systems.<n>We introduce the adiabatic strong-field approximation (ASFA) method to predict the coherences between ionic states.<n>Our findings reveal the importance of the ionization-produced coherences in modulating post-ionization molecular dynamics.
  arXiv  Detail & Related papers  (2023-11-19T06:05:42Z)
• Study of the Klein--Gordon equation for a hydrogenic model of dyons [0.0]
  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.
  arXiv  Detail & Related papers  (2022-10-28T14:01:54Z)
• 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)
• All-order relativistic computations for atoms and molecules using an explicitly correlated Gaussian basis [0.0]
  A variational solution procedure is reported for the many-particle no-pair Dirac-Coulomb-Breit Hamiltonian aiming at a parts-per-billion (ppb) convergence of the atomic and molecular energies. The procedure is tested for nuclear charge numbers from $Z=1$ (hydrogen) to $28$ (iron)
  arXiv  Detail & Related papers  (2021-03-08T17:35:21Z)
• $\mathcal{P}$,$\mathcal{T}$-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)
• Energy interval 3S-1S in muonic hydrogen [0.0]
  The energy interval $ (3S-1S) $ in muonic hydrogen is calculated on the basis of quasipotential approach in quantum electrodynamics. We take into account different corrections of orders $alpha3div alpha6 $, which are determined by relativistic effects, the effects of vacuum polarization, nuclear structure and recoil.
  arXiv  Detail & Related papers  (2020-10-14T19:58:36Z)
• Collective spontaneous emission of two entangled atoms near an oscillating mirror [50.591267188664666]
  We consider the cooperative spontaneous emission of a system of two identical atoms, interacting with the electromagnetic field in the vacuum state. Using time-dependent theory, we investigate the spectrum of the radiation emitted by the two-atom system. We show that it is modulated in time, and that the presence of the oscillating mirror can enhance or inhibit the decay rate.
  arXiv  Detail & Related papers  (2020-10-07T06:48:20Z)
• A multiconfigurational study of the negatively charged nitrogen-vacancy center in diamond [55.58269472099399]
  Deep defects in wide band gap semiconductors have emerged as leading qubit candidates for realizing quantum sensing and information applications. Here we show that unlike single-particle treatments, the multiconfigurational quantum chemistry methods, traditionally reserved for atoms/molecules, accurately describe the many-body characteristics of the electronic states of these defect centers.
  arXiv  Detail & Related papers  (2020-08-24T01:49:54Z)
• Hyperfine and quadrupole interactions for Dy isotopes in DyPc$_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)

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.