Charged-particle off-shell scattering: The T matrix for the pure Coulomb potential and for Coulomb plus simple separable potentials for all partial waves

1981 ◽  
Vol 86 (6-7) ◽  
pp. 359-362 ◽  
Author(s):  
H. van Haeringen
Keyword(s):  
Charged Particle ◽  
Coulomb Potential ◽  
Partial Waves ◽  
Pure Coulomb ◽  
Separable Potentials ◽  
T Matrix

scholarly journals Application of the screened Coulomb potential to fit the DA-type variable star HS 0507 + 0434B

2020 ◽  
Vol 495 (2) ◽  
pp. 2428-2435 ◽  
Author(s):  
Y H Chen
Keyword(s):  
Coulomb Potential ◽  
The Core ◽  
Star Models ◽  
Pure Coulomb ◽  
Type Variable ◽  
Diffusion Scheme ◽  
Best Fitting ◽  
Composition Profiles ◽  
Screened Coulomb Potential ◽  
Coulomb Potentials

ABSTRACT wdec is used to evolve grids of DA-variable (DAV) star models adopting the element diffusion scheme with pure and screened Coulomb potentials. The core compositions are thermonuclear burning results derived from mesa. mesa yields composition profiles that the version of wdec used in this work could not accommodate (most notably, the presence of helium in the core of the model). According to the theory of rotational splitting, Fu and colleagues identified six triplets for the DAV star HS 0507 + 0434B based on 206 h of photometric data. The grids of DAV star models are used to fit the six reliable m = 0 modes. When adopting the screened Coulomb potential, a best-fitting model of log(MHe/M*) = −3.0, log(MH/M*) = −6.1, Teff = 11 790 K, M* = 0.625 M⊙, log g = 8.066 and σRMS = 2.08 s was obtained. Compared with adopting the pure Coulomb potential, the value of σRMS is improved by 34 per cent. This study may provide a new method for research into mode-trapping properties.

scholarly journals Fictitious-Time Wave-Packet Dynamics in Atomic Systems

2010 ◽  
Vol 65 (10) ◽  
pp. 871-876
Author(s):  
Tomaž Fabčič ◽  
Jörg Main ◽  
Günter Wunner
Keyword(s):  
Electric Fields ◽  
Coulomb Potential ◽  
Initial State ◽  
Time Coordinate ◽  
Atomic Systems ◽  
Variational Approximations ◽  
Singular Behaviour ◽  
Wave Packet Dynamics ◽  
Wide Range ◽  
Pure Coulomb

Gaussian wave packets (GWPs) are well suited as basis functions to describe the time evolution of arbitrary wave functions in systems with non-singular smooth potentials. They are rare in atomic systems on account of the singular behaviour of the Coulomb potential.We present a time-dependent variational method that makes the use of GWPs possible in the description of propagation of quantum states also in these systems. We use a regularization of the Coulomb potential and introduce a fictitious-time coordinate in which the evolution of an initial state can be calculated exactly and analytically for a pure Coulomb potential. Therefore, in perturbed atomic systems variational approximations only arise from those parts of the potentials which deviate from the Coulomb potential. The method is applied to the hydrogen atom in external magnetic and electric fields. It can be adapted to systems with definite symmetries and thus allows for a wide range of applications.

scholarly journals The Exact Three-Dimensional Half-Shell t-Matrix for a Sharply Cut-off Coulomb Potential in the Screening Limit

2009 ◽  
Vol 47 (1-2) ◽  
pp. 3-15 ◽  
Author(s):  
W. Glöckle ◽  
J. Golak ◽  
R. Skibiński ◽  
H. Witała
Keyword(s):  
Coulomb Potential ◽  
Three Dimensional ◽  
T Matrix

scholarly journals Two-body corrections to the g factors of the bound muon and nucleus in light muonic atoms

2019 ◽  
Vol 73 (10) ◽  
Author(s):  
Savely G. Karshenboim ◽  
Vladimir G. Ivanov
Keyword(s):  
Electrostatic Interaction ◽  
Coulomb Potential ◽  
Atomic System ◽  
Magnetic Moments ◽  
Master Equations ◽  
Atomic Systems ◽  
Muonic Atoms ◽  
Pure Coulomb ◽  
Coulomb Effects ◽  
Three Body

Abstract A nonrelativistic (NR) theory of recoil corrections to the magnetic moments of bound particles is revisited. A number of contributions can be described within an NR theory with the help of various potentials. We study those potential-type contributions for two-body atomic systems. We have developed an approach, that allows us to find the g factor for an electron or muon in a two-body bound system for an arbitrary electrostatic interaction together with the m/M recoil corrections, as well as the binding corrections to the g factor of the nucleus. We focus our attention on light muonic two-body atoms, where the recoil effects are enhanced. Both mentioned kinds of contributions have been previously known only for the pure Coulomb effects. We have applied the here-obtained master equations to a few particular cases of perturbations of the Coulomb potential. In particular, the results on the recoil corrections to the finite-nuclear-size (FNS) and Uehling-potential contributions to the g factor of the bound muon are obtained. The Uehling-potential and FNS contributions to the g factor of the bound nucleus have been found as well together with the related recoil corrections. We have generalized the results for the case of the g factor of a bound muon in a three-body atomic system consisting of an electron, a muon, and a spinless nucleus. Graphical abstract

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