1,054 research outputs found
Calculation of the two-photon decay rates of hydrogen-like ions by using B-polynomials
A new approach is laid out to investigate the two photon atomic transitions.
It is based on application of the finite basis solutions constructed from the
Bernstein Polynomial (B-Polynomial) sets. We show that such an approach
provides a very promising route for the relativistic second- (and even
higher-order) calculations since it allows for analytical evaluation of the
involved matrices elements. In order to illustrate possible applications of the
method and to verify its accuracy, detailed calculations are performed for the
2s_{1/2}-1s_{1/2} transition in neutral hydrogen and hydrogen-like ions, and
are compared with the theoretical predictions based on the well-established
B-spline-basis-set approach
Accurate spline solutions of the Dirac equation with parity-nonconserving potential
The complete system of the B-spline solutions for the Dirac equation with the
parity-nonconserving (PNC) weak interaction effective potential is obtained.
This system can be used for the accurate evaluation of the radiative
corrections to the PNC amplitudes in the multicharged ions and neutral atoms.
The use of the scaling procedure allows for the evaluation of the PNC matrix
elements with relative accuracy .Comment: 7 page
Computational investigation of static multipole polarizabilities and sum rules for ground-state hydrogen-like ions
High precision multipole polarizabilities, for
of the ground state of the hydrogen isoelectronic series are obtained from
the Dirac equation using the B-spline method with Notre Dame boundary
conditions. Compact analytic expressions for the polarizabilities as a function
of with a relative accuracy of 10 up to are determined by
fitting to the calculated polarizabilities. The oscillator strengths satisfy
the sum rules for all multipoles from
to . The dispersion coefficients for the long-range H-H and H-He
interactions are given.Comment: 8 figures, 8 table
Coordinate Space HFB Calculations for the Zirconium Isotope Chain up to the Two-Neutron Dripline
We solve the Hartree-Fock-Bogoliubov (HFB) equations for deformed, axially
symmetric even-even nuclei in coordinate space on a 2-D lattice utilizing the
Basis-Spline expansion method. Results are presented for the neutron-rich
zirconium isotopes up to the two-neutron dripline. In particular, we calculate
binding energies, two-neutron separation energies, normal densities and pairing
densities, mean square radii, quadrupole moments, and pairing gaps. Very large
prolate quadrupole deformations (beta2=0.42,0.43,0.47) are found for the
(102,104,112)Zr isotopes, in agreement with recent experimental data. We
compare 2-D Basis-Spline lattice results with the results from a 2-D HFB code
which uses a transformed harmonic oscillator basis.Comment: 9 pages, 9 figure
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