435 research outputs found
The three-loop Adler -function for SQCD regularized by dimensional reduction
The three-loop Adler -function for SQCD in the
\overline{\mbox{DR}} scheme is calculated starting from the three-loop result
recently obtained with the higher covariant derivative regularization. For this
purpose, for the theory regularized by higher derivatives we find a subtraction
scheme in which the Green functions coincide with the ones obtained with the
dimensional reduction and the modified minimal subtraction prescription for the
renormalization of the SQCD coupling constant and of the matter superfields.
Also we calculate the -function in the \overline{\mbox{DR}} scheme for all
renormalization constants (including the one for the electromagnetic coupling
constant which appears due to the SQCD corrections). It is shown that the
results do not satisfy the NSVZ-like equation relating the -function to the
anomalous dimension of the matter superfields. However, the NSVZ-like scheme
can be constructed with the help of a properly tuned finite renormalization. It
is also demonstrated that the three-loop -function defined in terms of the
bare couplings with the dimensional reduction does not satisfy the NSVZ-like
equation for an arbitrary renormalization prescription. We also investigate a
possibility to present the results in the form of the -expansion and the
scheme dependence of this expansion.Comment: 25 pages, 2 figures, 1 table, improved conclusion, version accepted
for publication in JHE
Alpha-nucleus potential for alpha-decay and sub-barrier fusion
The set of parameters for alpha-nucleus potential is derived by using the
data for both the alpha-decay half-lives and the fusion cross-sections around
the barrier for reactions alpha+40Ca, alpha+59Co, alpha+208Pb. The alpha-decay
half-lives are obtained in the framework of a cluster model using the WKB
approximation. The evaluated alpha-decay half-lives and the fusion
cross-sections agreed well with the data. Fusion reactions between
alpha-particle and heavy nuclei can be used for both the formation of very
heavy nuclei and spectroscopic studies of the formed compound nuclei.Comment: 10 pages, 5 figure
Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments
Acoustic Probing of the Jamming Transition in an Unconsolidated Granular Medium
Experiments with acoustic waves guided along the mechanically free surface of
an unconsolidated granular packed structure provide information on the
elasticity of granular media at very low pressures that are naturally
controlled by the gravitational acceleration and the depth beneath the surface.
Comparison of the determined dispersion relations for guided surface acoustic
modes with a theoretical model reveals the dependencies of the elastic moduli
of the granular medium on pressure. The experiments confirm recent theoretical
predictions that relaxation of the disordered granular packing through
non-affine motion leads to a peculiar scaling of shear rigidity with pressure
near the jamming transition corresponding to zero pressure. Unexpectedly, and
in disagreement with the most of the available theories, the bulk modulus
depends on pressure in a very similar way to the shear modulus
Thermodynamic aspects of materials' hardness: prediction of novel superhard high-pressure phases
In the present work we have proposed the method that allows one to easily
estimate hardness and bulk modulus of known or hypothetical solid phases from
the data on Gibbs energy of atomization of the elements and corresponding
covalent radii. It has been shown that hardness and bulk moduli of compounds
strongly correlate with their thermodynamic and structural properties. The
proposed method may be used for a large number of compounds with various types
of chemical bonding and structures; moreover, the temperature dependence of
hardness may be calculated, that has been performed for diamond and cubic boron
nitride. The correctness of this approach has been shown for the recently
synthesized superhard diamond-like BC5. It has been predicted that the
hypothetical forms of B2O3, diamond-like boron, BCx and COx, which could be
synthesized at high pressures and temperatures, should have extreme hardness
Does the Borexino experiment have enough resolution to detect the neutrino flavor day-night asymmetry?
The Earth's density distribution can be approximately considered piecewise
continuous at the scale of two-flavor oscillations of neutrinos with energies
about 1 MeV. This quite general assumption appears to be enough to analytically
calculate the day-night asymmetry factor. Using the explicit time averaging
procedure, we show that, within the leading-order approximation, this factor is
determined by the electron density immediately before the detector, i.e. in the
Earth's crust. Within the approximation chosen, the resulting asymmetry factor
does not depend either on the properties of the inner Earth's layers or on the
substance and the dimensions of the detector. For beryllium neutrinos, we
arrive at the asymmetry factor estimation of about , which
is at least one order of magnitude beyond the present experimental resolution,
including that of the Borexino experiment.Comment: 16 pages, 3 figures; Talk given at the 17th International Seminar on
High Energy Physics "QUARKS'2012" (Yaroslavl, Russia, June 4-10, 2012); to
appear in the Proceedings volum
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