Raman scattering of photons by hydrogenlike ions I: A semirelativistic and nondipole approach

Journal Article · Wed Aug 15 04:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.05.018· OSTI ID:22852266

Soh, C. Meyap; Younoussa, K.; Bouri, C.; Njock, M.G. Kwato, ^[1]; Piraux, B. ^[2]

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1. Centre for Atomic Molecular Physics and Quantum Optics (CEPAMOQ), Faculty of Science, University of Douala, P.O. Box, 8580 Douala (Cameroon)
2. Institut de la Matière Condensée et des Nanosciences, Université Catholique de Louvain, Chemin du Cyclotron 2, bte L.7.01.07, Bâtiment M. de Hemptinne, 1348 Louvain-la-Neuve, Belgique (Belgium)

Going beyond the usual nonrelativistic treatments of Raman scattering of light by a ground-state electron in hydrogenic ions, we propose in this work a semirelativistic and nondipole approach in the case of inelastic process under the ionization threshold. This scheme is based, on the one hand, on the discrete semirelativistic Coulomb Sturmian basis sets, and on the other hand, on the direct Foldy–Wouthuysen interaction Hamiltonian derived recently from the Dirac equation with electromagnetic potentials (Hinschberger and Hervieux 2012) and confirmed by us to seventh order in powers of 1∕m. It includes the paramagnetic, the diamagnetic, the magnetic field–spin and the electric field–spin interactions. Moreover, the photon fields are expanded in electric and magnetic multipoles and nondipole effects are fully taken into account. On utilizing these ingredients, we build in detail the multipole expansion of the semirelativistic Raman scattering cross section when the photon energy is under the ionization threshold. For each type of the allowed multipole components, namely EE, MM and EM in the standard notations, suitable closed forms of total scattering cross sections are calculated for numerical computations. Such analytical expressions enable the evaluation of the contribution of each of these interaction operators and field multipoles in the scattering process.

• OSTI ID: 22852266
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 395; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CROSS SECTIONS
DIAMAGNETISM
DIRAC EQUATION
ELECTRIC FIELDS
ELECTRONS
GROUND STATES
HAMILTONIANS
IONIZATION
IONS
LIGHT SCATTERING
MAGNETIC FIELDS
MULTIPOLES
PARAMAGNETISM
PHOTONS
RAMAN EFFECT
SPIN