Photon-photon polarization correlations as a tool for studying parity nonconservation in heliumlike uranium

Fratini, F.; Trotsenko, S.; Tashenov, S.; Stöhlker, Thomas; Surzhykov, A.

doi:10.1103/physreva.83.052505

Cited by 9 publications

(14 citation statements)

References 58 publications

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“…During the last decade, various methods have been investigated for calculating the reduced second order amplitude (10) as well as the transition amplitude (1) [11][12][13][25][26][27] . In practice, of course, the summation over the complete spectrum contained in ( 10) is difficult to be performed explicitly.…”

Section: Computationmentioning

confidence: 99%

Relativistic total cross section and angular distribution for Rayleigh scattering by atomic hydrogen

et al. 2012

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We study the total cross section and angular distribution in Rayleigh scattering by hydrogen atom in the ground state, within the framework of Dirac relativistic equation and second-order perturbation theory. The relativistic states used for the calculations are obtained by making use of the finite basis-set method and expressed in terms of B splines and B polynomials. We pay particular attention to the effects that arise from higher (nondipole) terms in the expansion of the electron-photon interaction. It is shown that the angular distribution of scattered photons, while symmetric with respect to the scattering angle θ = 90 • within the electric dipole approximation, becomes asymmetric when higher multipoles are taken into account. The analytical expression of the angular distribution is parametrized in terms of Legendre polynomials. Detailed calculations are performed for photons in the energy range 0.5 to 10 keV. When possible, results are compared with previous calculations.

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Section: Computationmentioning

confidence: 99%

Relativistic total cross section and angular distribution for Rayleigh scattering by atomic hydrogen

et al. 2012

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“…In the case of photons flying parallel to the quantization axes (θ = 0), the matrices ρJM e,o describe uncorrelated states of the two fully, circularly polarized photons. Actually, using identity (3), we find ξ JM = δ M,2 − δ M,−2 and ζ JM = 0 for the polarization parameters (9). Accordingly, the matrices (8) become…”

Section: Polarization Matricesmentioning

confidence: 94%

“…These investigations test the fundamental question of quantum entanglement. Additionally, TP transitions have been proposed as a tool to measure weak interaction properties, viz., the problem of parity violations in atomic transitions [8,9]. The previously indicated applications of the TP states concern interaction of the electromagnetic field in creation processes of TP by atomic systems, as well as, the properties of entanglement of many-particle states.…”

Section: Introductionmentioning

confidence: 99%

Angular distributions and polarization correlations of the two-photon spherical states

Alexanian,

Mkrtchian

2021

Preprint

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We have analyzed in detail the angular polarization properties in the center of mass reference frame of Landau's two-photon spherical states in momentum space. The angular distributions for fixed values of J and M do not depend on the parity but are defined by two different functions of the polar angle between the relative momentum and the quantization axes. The two-photon polarization density matrices are derived for each values of J, M , and P . The linear polarization correlations of individual photons are analyzed in detail. We find, besides the usual correlation laws for J ≥ 2 in terms of sin and cos of the angle between the orientation of the analyzers, correlations in terms of the sum of the orientation angles of the analyzers.

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“…There has been also alternative numerical methods such as the Coulomb-Green function for calculating second-order transition amplitudes in the literature (see Refs. [32][33][34][35][36][37]). …”

Section: Numerical Calculationsmentioning

confidence: 99%

Spin effects probed by Rayleigh X-ray scattering off hydrogenic ions

Safari

Amaro

Santos

et al. 2015

Radiation Physics and Chemistry

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We study the polarization characteristics of x-ray photons scattered by hydrogenic atoms, based on the Dirac equation and second-order perturbation theory. The relativistic states used in calculations are obtained using the finite basis set method and expressed in terms of B-splines and B-polynomials. We derive general analytical expressions for the polarization-dependent total cross sections, which are applicable to any atom and ion, and evaluate them separately for linear and circular polarization of photons. In particular, detailed calculations are performed for the integrated Stokes parameters of the scattered light for hydrogen as well as hydrogenlike neon and argon. Analyzing such integrated Stokes parameters, special attention is given to the electron-photon spin-spin interaction, which mostly stems from the magnetic-dipole contribution of the electron-photon interaction. Subsequently, we find an energy window for the selected targets in which such spin-spin interactions can be probed.

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Photon-photon polarization correlations as a tool for studying parity nonconservation in heliumlike uranium

Cited by 9 publications

References 58 publications

Relativistic total cross section and angular distribution for Rayleigh scattering by atomic hydrogen

Relativistic total cross section and angular distribution for Rayleigh scattering by atomic hydrogen

Angular distributions and polarization correlations of the two-photon spherical states

Spin effects probed by Rayleigh X-ray scattering off hydrogenic ions

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