dorsal/arxiv
View SchemaThe radiative potential method for calculations of QED radiative corrections to energy levels and electromagnetic amplitudes in many-electron atoms
| Authors | V. V. Flambaum, J. S. M. Ginges |
|---|---|
| Categories | |
| ArXiv ID | physics/0507067 |
| URL | https://arxiv.org/abs/physics/0507067 |
| DOI | 10.1103/PhysRevA.72.052115 |
| Journal | Phys.Rev.A72:052115,2005 |
Abstract
We derive an approximate expression for a "radiative potential" which can be used to calculate QED strong Coulomb field radiative corrections to energies and electric dipole (E1) transition amplitudes in many-electron atoms with an accuracy of a few percent. The expectation value of the radiative potential gives radiative corrections to the energies. Radiative corrections to E1 amplitudes can be expressed in terms of the radiative potential and its energy derivative (the low-energy theorem): the relative magnitude of the radiative potential contribution is ~alpha^3 Z^2 ln(1/(alpha^2 Z^2)), while the sum of other QED contributions is ~alpha^3 (Z_i+1)^2, where Z_i is the ion charge; that is, for neutral atoms (Z_i=0) the radiative potential contribution exceeds other contributions ~Z^2 times. The advantage of the radiative potential method is that it is very simple and can be easily incorporated into many-body theory approaches: relativistic Hartree-Fock, configuration interaction, many-body perturbation theory, etc. As an application we have calculated the radiative corrections to the energy levels and E1 amplitudes as well as their contributions (-0.33% and 0.42%, respectively) to the parity non-conserving (PNC) 6s-7s amplitude in neutral cesium (Z=55). Combining these results with the QED correction to the weak matrix elements (-0.41%) we obtain the total QED correction to the PNC 6s-7s amplitude, (-0.32 +/- 0.03)%. The cesium weak charge Q_W=-72.66(29)_{exp}(36)_{theor} agrees with the Standard Model value Q_W^{SM}=-73.19(13), the difference is 0.53(48).
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"abstract": "We derive an approximate expression for a \"radiative potential\" which can be\nused to calculate QED strong Coulomb field radiative corrections to energies\nand electric dipole (E1) transition amplitudes in many-electron atoms with an\naccuracy of a few percent. The expectation value of the radiative potential\ngives radiative corrections to the energies. Radiative corrections to E1\namplitudes can be expressed in terms of the radiative potential and its energy\nderivative (the low-energy theorem): the relative magnitude of the radiative\npotential contribution is ~alpha^3 Z^2 ln(1/(alpha^2 Z^2)), while the sum of\nother QED contributions is ~alpha^3 (Z_i+1)^2, where Z_i is the ion charge;\nthat is, for neutral atoms (Z_i=0) the radiative potential contribution exceeds\nother contributions ~Z^2 times. The advantage of the radiative potential method\nis that it is very simple and can be easily incorporated into many-body theory\napproaches: relativistic Hartree-Fock, configuration interaction, many-body\nperturbation theory, etc. As an application we have calculated the radiative\ncorrections to the energy levels and E1 amplitudes as well as their\ncontributions (-0.33% and 0.42%, respectively) to the parity non-conserving\n(PNC) 6s-7s amplitude in neutral cesium (Z=55). Combining these results with\nthe QED correction to the weak matrix elements (-0.41%) we obtain the total QED\ncorrection to the PNC 6s-7s amplitude, (-0.32 +/- 0.03)%. The cesium weak\ncharge Q_W=-72.66(29)_{exp}(36)_{theor} agrees with the Standard Model value\nQ_W^{SM}=-73.19(13), the difference is 0.53(48).",
"arxiv_id": "physics/0507067",
"authors": [
"V. V. Flambaum",
"J. S. M. Ginges"
],
"categories": [
"physics.atom-ph",
"hep-ph"
],
"doi": "10.1103/PhysRevA.72.052115",
"journal_ref": "Phys.Rev.A72:052115,2005",
"title": "The radiative potential method for calculations of QED radiative corrections to energy levels and electromagnetic amplitudes in many-electron atoms",
"url": "https://arxiv.org/abs/physics/0507067"
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