4,938 research outputs found
Generalized Hamilton-Jacobi equations for nonholonomic dynamics
Employing a suitable nonlinear Lagrange functional, we derive generalized
Hamilton-Jacobi equations for dynamical systems subject to linear velocity
constraints. As long as a solution of the generalized Hamilton-Jacobi equation
exists, the action is actually minimized (not just extremized)
Electric dipole moment of the electron in YbF molecule
Ab initio calculation of the hyperfine, P-odd, and P,T-odd constants for the
YbF molecule was performed with the help of the recently developed technique,
which allows to take into account correlations and polarization in the
outercore region. The ground state electronic wave function of the YbF 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 ytterbium in the framework of a non-variational procedure. Core
polarization effects are included with the help of the atomic Many Body
Perturbation Theory for Yb atom. For the isotropic hyperfine constant A,
accuracy of our calculation is about 3% as compared to the experimental datum.
The dipole constant Ad (which is much smaller in magnitude), though better than
in all previous calculations, is still underestimated by almost 23%. Being
corrected within a semiempirical approach for a perturbation of 4f-shell in the
core of Yb due to the bond making, this error is reduced to 8%. Our value for
the effective electric field on the unpaired electron is 4.9 a.u.=2.5E+10 V/cm.Comment: 7 pages, REVTE
Dynamics of two interacting particles in classical billiards
The problem of two interacting particles moving in a d-dimensional billiard
is considered here. A suitable coordinate transformation leads to the problem
of a particle in an unconventional hyperbilliard. A dynamical map can be
readily constructed for this general system, which greatly simplifies
calculations. As a particular example, we consider two identical particles
interacting through a screened Coulomb potential in a one-dimensional billiard.
We find that the screening plays an important role in the dynamical behavior of
the system and only in the limit of vanishing screening length can the
particles be considered as bouncing balls. For more general screening and
energy values, the system presents strong non-integrability with resonant
islands of stability.Comment: REVTEX manuscript, 4 figures (1 ps + 3 gif, Postscript versions
available upon request). Also available at
http://www.phy.ohiou.edu/~ulloa/ulloa.htm
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
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
Two Detector Reactor Neutrino Oscillation Experiment Kr2Det at Krasnoyarsk. Status Report
We consider status of the Kr2Det project aimed at sensitive searches for
neutrino oscillations in the atmospheric neutrino mass parameter region around
Dm2 ~ 3x10-3 eV2and at obtaining new information on the electron neutrino mass
structure (Ue3).Comment: 4 pages in pdf file. Talk presented at NANP-2001 International
Conference in Dubna, Russia, June 200
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