scholarly journals Релятивистский расчёт эффекта отдачи ядра для g-фактора состояния ^2P-=SUB=-3/2-=/SUB=- многозарядных бороподобных ионов

2020 ◽  
Vol 128 (3) ◽  
pp. 309
Author(s):  
А.В. Малышев ◽  
Д.А. Глазов ◽  
И.А. Александров ◽  
И.И. Тупицын ◽  
В.М. Шабаев

The nuclear recoil effect on the $^2 P_{3/2}$-state $g$ factor of B-like ions is calculated to first order in the electron-to-nucleus mass ratio $m/M$ in the range $Z=18$--$92$. The calculations are performed by means of the $1/Z$ perturbation theory. Within the independent-electron approximation, the one- and two-electron recoil contributions are evaluated to all orders in the parameter $\alpha Z$ by employing a fully relativistic approach. The interelectronic-interaction correction of first order in $1/Z$ is treated within the Breit approximation. Higher orders in $1/Z$ are partially taken into account by incorporating the screening potential into the zeroth-order Hamiltonian. The most accurate to date theoretical predictions for the nuclear recoil contribution to the bound-electron $g$ factor are obtained.

2020 ◽  
Vol 101 (1) ◽  
Author(s):  
A. V. Malyshev ◽  
D. A. Glazov ◽  
V. M. Shabaev

JETP Letters ◽  
2017 ◽  
Vol 106 (12) ◽  
pp. 765-770 ◽  
Author(s):  
A. V. Malyshev ◽  
V. M. Shabaev ◽  
D. A. Glazov ◽  
I. I. Tupitsyn

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
V. M. Shabaev ◽  
D. A. Glazov ◽  
A. V. Malyshev ◽  
I. I. Tupitsyn

2002 ◽  
Vol 80 (11) ◽  
pp. 1249-1254 ◽  
Author(s):  
V A Yerokhin ◽  
P Indelicato ◽  
V M Shabaev

Accurate numerical evaluation of the one-loop self-energy correction to the 1s-electron g factor in H-like ions is presented to all orders in the parameter Zα. This calculation significantly improves the accuracy of theoretical values of the corresponding g factor in low- and medium-Z ions.


2018 ◽  
Vol 124 (4) ◽  
pp. 457-461 ◽  
Author(s):  
D. A. Glazov ◽  
A. V. Malyshev ◽  
V. M. Shabaev ◽  
I. I. Tupitsyn

2018 ◽  
Vol 98 (6) ◽  
Author(s):  
I. A. Aleksandrov ◽  
D. A. Glazov ◽  
A. V. Malyshev ◽  
V. M. Shabaev ◽  
I. I. Tupitsyn

2020 ◽  
Vol 128 (3) ◽  
pp. 297-306
Author(s):  
A. V. Malyshev ◽  
D. A. Glazov ◽  
I. A. Aleksandrov ◽  
I. I. Tupitsyn ◽  
V. M. Shabaev

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
D. Aristizabal Sierra ◽  
R. Branada ◽  
O. G. Miranda ◽  
G. Sanchez Garcia

Abstract With large active volume sizes dark matter direct detection experiments are sensitive to solar neutrino fluxes. Nuclear recoil signals are induced by 8B neutrinos, while electron recoils are mainly generated by the pp flux. Measurements of both processes offer an opportunity to test neutrino properties at low thresholds with fairly low backgrounds. In this paper we study the sensitivity of these experiments to neutrino magnetic dipole moments assuming 1, 10 and 40 tonne active volumes (representative of XENON1T, XENONnT and DARWIN), 0.3 keV and 1 keV thresholds. We show that with nuclear recoil measurements alone a 40 tonne detector could be as competitive as Borexino, TEXONO and GEMMA, with sensitivities of order 8.0 × 10−11μB at the 90% CL after one year of data taking. Electron recoil measurements will increase sensitivities way below these values allowing to test regions not excluded by astrophysical arguments. Using electron recoil data and depending on performance, the same detector will be able to explore values down to 4.0 × 10−12μB at the 90% CL in one year of data taking. By assuming a 200-tonne liquid xenon detector operating during 10 years, we conclude that sensitivities in this type of detectors will be of order 10−12μB. Reducing statistical uncertainties may enable improving sensitivities below these values.


2020 ◽  
Vol 8 (1) ◽  
pp. 68-91
Author(s):  
Gianmarco Giovannardi

AbstractThe deformability condition for submanifolds of fixed degree immersed in a graded manifold can be expressed as a system of first order PDEs. In the particular but important case of ruled submanifolds, we introduce a natural choice of coordinates, which allows to deeply simplify the formal expression of the system, and to reduce it to a system of ODEs along a characteristic direction. We introduce a notion of higher dimensional holonomy map in analogy with the one-dimensional case [29], and we provide a characterization for singularities as well as a deformability criterion.


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