scholarly journals Second order in mass ratio radiative-recoil corrections to hyperfine splitting in muonium

1998 ◽  
Vol 58 (1) ◽  
Author(s):  
Michael I. Eides ◽  
Howard Grotch ◽  
Valery A. Shelyuto
Keyword(s):  
Hyperfine Splitting ◽  
Second Order ◽  
Mass Ratio

scholarly journals On spin asymmetry in muon and tau decays

2018 ◽  
Vol 33 (32) ◽  
pp. 1850191
Author(s):  
A. B. Arbuzov ◽  
T. V. Kopylova ◽  
I. K. Sklyarov
Keyword(s):  
Charged Lepton ◽  
Spin Asymmetry ◽  
Second Order ◽  
Tau Leptons ◽  
Mass Ratio ◽  
Fermi Model ◽  
Tau Decays ◽  
Standard Formula ◽  
Leading Logarithm ◽  
Michel Parameters

The angular asymmetry in decays of polarized muons and tau leptons is discussed. Both the standard [Formula: see text] Fermi model and the general parametrization via Michel parameters are considered. Numerical importance of contributions suppressed by charged lepton mass ratio is underlined. Contribution of the second order QED correction is estimated in the leading logarithm approximation.

scholarly journals A second-order accurate non-intrusive staggered scheme for the interaction of ultra-lightweight rigid bodies with fluid flow

2020 ◽  
Author(s):  
Chennakesava Kadapa
Keyword(s):  
Incompressible Flows ◽  
Rigid Bodies ◽  
Relaxation Parameter ◽  
Second Order ◽  
Mass Ratio ◽  
Computationally Efficient ◽  
Efficient Scheme ◽  
Staggered Scheme ◽  
Low Mass ◽  
Low Mass Ratio

This paper presents a staggered scheme with second-order temporal accuracy for fluid-structure interaction problems involving ultra-lightweight rigid bodies. The staggered scheme is based on the Dirichlet-Neumann coupling and is non-intrusive. First, the spectral properties of the staggered scheme are studied and also compared against the monolithic scheme using a linear model problem. Later, the suitability and effectiveness of the staggered scheme for problems involving incompressible flows and lightweight rigid solids are illustrated by using the examples of galloping of a square cylinder and lock-in of a circular cylinder for mass-ratio values as low as 0.01. This is the first time in the literature flow-induced vibrations of rigid bodies with such low mass ratio values are successfully simulated using a staggered scheme. Two different fluid solvers are considered to illustrate the non-intrusive nature of the proposed scheme. Guidelines for choosing the relaxation parameter are also provided. With its iteration-free nature and with a single (relaxation) parameter, the proposed staggered scheme renders itself as an accurate and computationally efficient scheme for fluid-rigid body interaction problems, including those involving lightweight structures.

scholarly journals Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers,

2018 ◽  
Vol 63 ◽  
pp. 78-108 ◽  
Author(s):  
Yann Barsamian ◽  
Joackim Bernier ◽  
Sever A. Hirstoaga ◽  
Michel Mehrenberger
Keyword(s):  
Test Problem ◽  
Single Species ◽  
Dispersion Analysis ◽  
Lagrangian Method ◽  
Second Order ◽  
Mass Ratio ◽  
Particle In Cell ◽  
First Order ◽  
Dimensional Effects ◽  
Order Dispersion

In [2], 1D×1D two-species Vlasov-Poisson simulations are performed by the semi-Lagrangian method. Thanks to a classical first order dispersion analysis, we are able to check the validity of their simulations; the extension to second order is performed and shown to be relevant for explaining further details. In order to validate multi-dimensional effects, we propose a 2D × 2D single species test problem that has true 2D effects coming from the sole second order dispersion analysis. Finally, we perform, in the same code, full 2D × 2D non linear two-species simulations with mass ratio 0:01, and consider the mixing of semi-Lagrangian and Particle-in-Cell methods.

scholarly journals Second-order magnetic contributions to the hyperfine splitting of the 5snd1D2states inSr87

1993 ◽  
Vol 47 (6) ◽  
pp. 4725-4734 ◽  
Author(s):  
J. Güdde ◽  
A. Klinkmüller ◽  
P. J. West ◽  
E. Matthias
Keyword(s):  
Hyperfine Splitting ◽  
Second Order

scholarly journals Gravitational-Wave Energy Flux for Compact Binaries through Second Order in the Mass Ratio

2021 ◽  
Vol 127 (15) ◽  
Author(s):  
Niels Warburton ◽  
Adam Pound ◽  
Barry Wardell ◽  
Jeremy Miller ◽  
Leanne Durkan
Keyword(s):  
Gravitational Wave ◽  
Energy Flux ◽  
Wave Energy ◽  
Second Order ◽  
Mass Ratio ◽  
Compact Binaries ◽  
Wave Energy Flux
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