Form-independent third-order transition amplitudes for atoms with one valence electron
نویسندگان
چکیده
A procedure is given for calculating transition amplitudes that are equal in the length and velocity forms for transitions in atoms with one valence electron within the framework of relativistic many-body perturbation theory starting from the Dirac-Hartree-Fock approximation. This procedure is applied to obtain formindependent secondand third-order dipole matrix elements for the principal transitions in alkali-metal atoms. Comparisons are made with other calculations and with experiment.
منابع مشابه
Equality of length-form and velocity-form transition amplitudes in relativistic many-body perturbation theory
Rules for obtaining transition amplitudes that are equal in length form and velocity form, order-by-order in relativistic many-body perturbation theory are presented. Explicit formulas are derived for first-, second-, and third-order amplitudes for transitions between valence states in alkali-metal atoms. Numerical codes are developed to evaluate amplitudes through third order and applied to 3s...
متن کاملDevelopment of the CI + all-order method for atomic calculations
The development of the relativistic all-order method where all single and double excitations of the Dirac-Hartree-Fock wave function are included to all orders of perturbation theory led to accurate predictions for energies, transition amplitudes, hyperfine constants, and other properties of monovalent atoms as well as the calculation of parity-violating amplitudes in Cs and Fr [1]. The all-ord...
متن کاملبررسی ویژگیهای قدرت خط و نیروی نوسانگر اتمهای نقره و طلا با استفاده از نظریه تقریب کولنی
Single-valence electron atoms are an important class of atoms. Their oscillator strengths are their important properties. Knowing the oscillator strengths one can easity calculate the transition probabilities of the spectral lines and hence the lifetimes of energy levels of most atoms. The oscillator strengths of the spectral lines of most atoms are not knoen with sufficient accuracy due to t...
متن کاملNuclear-Charge Screening in Positronium Formation from Helium Atoms
An analytical treatment of the electron screening effect within an active-electron model is given for positronium formation from helium atoms. A first-order distorted wave approximation with correct boundary conditions is applied to evaluate the transition amplitude. In the range of impact energy for which the introduced perturbative approach is valid, both the total and differential cross sect...
متن کاملمحاسبه سطح مقطع جزیی انتقال حالت به حالت بار به روش فادیف
A second-order approximation to the Faddeev-Watson-Lovelace treatment of the rearrangement channel is used in a three-body scattering cross sections. In this formalism, the Three-body wave function is expressed by three coupled integral equations, the Faddeev equations, which contian the two-body (off-shell) transition amplitudes, and proved the uniqueness of their solutions. This amplitude c...
متن کامل