4,092 research outputs found

### Enhancement of the electric dipole moment of the electron in the YbF molecule

We calculate an effective electric field on the unpaired electron in the YbF
molecule. This field determines sensitivity of the molecular experiment to the
electric dipole moment of the electron. We use experimental value of the
spin-doubling constant to estimate the admixture of the configuration with the
hole in the 4f-shell of Ytterbium to the ground state of the molecule. This
admixture reduces the field by 7%. Our value for the effictive field is 5.1
a.u. = 2.5 10^{10} V/cm.Comment: 5 pages, LATEX, uses revtex.st

### Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances

We consider a slowly rotating rectangular billiard with moving boundaries and
use the canonical perturbation theory to describe the dynamics of a billiard
particle. In the process of slow evolution certain resonance conditions can be
satisfied. Correspondingly, phenomena of scattering on a resonance and capture
into a resonance happen in the system. These phenomena lead to destruction of
adiabatic invariance and to unlimited acceleration of the particle.Comment: 20 pages. Presented on School-Conference "Mathematics and Physics of
Billiard-Like Systems" (Ubatuba, 2011). Accepted to Chao

### Using Molecules to Measure Nuclear Spin-Dependent Parity Violation

Nuclear spin-dependent parity violation arises from weak interactions between
electrons and nucleons, and from nuclear anapole moments. We outline a method
to measure such effects, using a Stark-interference technique to determine the
mixing between opposite-parity rotational/hyperfine levels of ground-state
molecules. The technique is applicable to nuclei over a wide range of atomic
number, in diatomic species that are theoretically tractable for
interpretation. This should provide data on anapole moments of many nuclei, and
on previously unmeasured neutral weak couplings

### Enhancement of the electric dipole moment of the electron in BaF molecule

We report results of ab initio calculation of the spin-rotational Hamiltonian
parameters including P- and P,T-odd terms for the BaF molecule. The ground
state wave function of BaF molecule is found with the help of the Relativistic
Effective Core Potential method followed by the restoration of molecular
four-component spinors in the core region of barium in the framework of a
non-variational procedure. Core polarization effects are included with the help
of the atomic Many Body Perturbation Theory for Barium atom. For the hyperfine
constants the accuracy of this method is about 5-10%.Comment: 8 pages, REVTEX, report at II International Symposium on Symmetries
in Subatomic Physics, Seattle 199

### Solution of mixed contact problems in the theory nonstationary heat conduction by the metod of summation-integral equations

The laws governing the development of spatial nonstationary temperature fields in a bounded cylinder
and a half-space where one of the end surfaces of the cylinder touches the surface of the half-space
in a circular region are determined. A solution of a mixed axisymmetric nonstationary problem of
heat conduction is obtained in the region of Laplace transforms. In solution of this problem, there
appear summation-integral equations with the parameter of the integral Laplace transform (L-parameter)
and the parameter of the finite integral Hankel transform (H-parameter)

### Radar Range Deception with Time-Modulated Scatterers

Modern radar systems are designed to have high Doppler tolerance to detect
fast-moving targets. This means range and Doppler estimations are inevitably
coupled, opening pathways to concealing objects by imprinting artificial
Doppler signatures on the reflected echoes. Proper temporal control of the
backscattered phase can cause the investigating radar to estimate wrong range
and velocity, thus cloaking the real position and trajectory of the scatterer.
This deception method is exploited here theoretically for arbitrary Doppler
tolerant waveforms and then tested experimentally on an example of the linear
frequency modulated radar, which is the most common waveform of that class used
in practice. The method allows retaining radio silence with a semi passive
(battery assisted) approach that can work well with time-dependent
metasurfaces. Furthermore, as an insight into new capabilities, we demonstrate
that temporally concealed objects could even be made to appear closer than they
truly are without violating the laws of relativity

### Method of summation-integral equations for solving the mixed problem of nonstationary heat conduction

The solution of a mixed axisymmetric nonstationary problem of heat conduction is obtained in the
region of Laplace transforms. In solution of this problem, there occur summationâˆ’integral equations
with the parameter of the integral Laplace transform (L-parameter) and the additional parameter of
the finite integral Hankel transform (H-parameter). The laws governing the development of spatial
nonstationary temperature fields in a bounded cylinder and a half-space when one end surface of the
cylinder is in contact with the surface of the half-space in a circular region are determined

### Study of the correlation effects in Yb^+ and implications for parity violation

Calculation of the energies, magnetic dipole hyperfine structure constants,
E1 transition amplitudes between the low-lying states, and nuclear
spin-dependent parity-nonconserving amplitudes for the ^2S_{1/2} -
^2D_{3/2,5/2} transitions in ^{171}Yb^+ ion is performed using two different
approaches. First, we carried out many-body perturbation theory calculation
considering Yb^+ as a monovalent system. Additional all-order calculations are
carried out for selected properties. Second, we carried out configuration
interaction calculation considering Yb as a 15-electron system and compared the
results obtained by two methods. The accuracy of different methods is
evaluated. We find that the monovalent description is inadequate for evaluation
of some atomic properties due to significant mixing of the one-particle and the
hole-two-particle configurations. Performing the calculation by such different
approaches allowed us to establish the importance of various correlation
effects for Yb^+ atomic properties for future improvement of theoretical
precision in this complicated system.Comment: 11 pages;v2: minor changes and one reference adde

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